Table of contents for issues of Fibonacci Quarterly

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Volume 1, Number 1, February, 1963
Volume 1, Number 2, April, 1963
Volume 1, Number 3, October, 1963
Volume 1, Number 4, December, 1963
Volume 2, Number 1, February, 1964
Volume 2, Number 2, April, 1964
Volume 2, Number 3, October, 1964
Volume 2, Number 4, December, 1964
Volume 3, Number 1, February, 1965
Volume 3, Number 2, April, 1965
Volume 3, Number 3, October, 1965
Volume 3, Number 4, December, 1965
Volume 4, Number 1, February, 1966
Volume 4, Number 2, April, 1966
Volume 4, Number 3, October, 1966
Volume 4, Number 4, December, 1966
Volume 5, Number 1, February, 1967
Volume 5, Number 2, April, 1967
Volume 5, Number 3, October, 1967
Volume 5, Number 4, December, 1967
Volume 5, Number 5, December, 1967
Volume 6, Number 1, February, 1968
Volume 6, Number 2, April, 1968
Volume 6, Number 3, June, 1968
Volume 6, Number 4, October, 1968
Volume 6, Number 5, November, 1968
Volume 6, Number 6, December, 1968
Volume 7, Number 1, February, 1969
Volume 7, Number 2, April, 1969
Volume 7, Number 3, October, 1969
Volume 7, Number 4, November, 1969
Volume 7, Number 5, December, 1969
Volume 8, Number 1, February, 1970
Volume 8, Number 2, March, 1970
Volume 8, Number 3, April, 1970
Volume 8, Number 4, October, 1970
Volume 8, Number 5, December, 1970
Volume 9, Number 1, February, 1971
Volume 9, Number 2, April, 1971
Volume 9, Number 3, May, 1971
Volume 9, Number 4, October, 1971
Volume 9, Number 5, December, 1971
Volume 10, Number 1, January, 1972
Volume 10, Number 2, February, 1972
Volume 10, Number 3, April, 1972
Volume 10, Number 4, October, 1972
Volume 10, Number 5, November, 1972
Volume 10, Number 6, December, 1972
Volume 11, Number 1, February, 1973
Volume 11, Number 2, April, 1973
Volume 11, Number 3, October, 1973
Volume 11, Number 4, November, 1973
Volume 11, Number 5, December, 1973
Volume 12, Number 1, February, 1974
Volume 12, Number 2, April, 1974
Volume 12, Number 3, October, 1974
Volume 12, Number 4, December, 1974
Volume 13, Number 1, February, 1975
Volume 13, Number 2, April, 1975
Volume 13, Number 3, October, 1975
Volume 13, Number 4, December, 1975
Volume 14, Number 1, February, 1976
Volume 14, Number 2, April, 1976
Volume 14, Number 3, October, 1976
Volume 14, Number 4, November, 1976
Volume 14, Number 5, December, 1976
Volume 15, Number 1, February, 1977
Volume 15, Number 2, April, 1977
Volume 15, Number 3, October, 1977
Volume 15, Number 4, December, 1977
Volume 16, Number 1, February, 1978
Volume 16, Number 2, April, 1978
Volume 16, Number 3, June, 1978
Volume 16, Number 4, August, 1978
Volume 16, Number 5, October, 1978
Volume 16, Number 6, December, 1978
Volume 17, Number 1, February, 1979
Volume 17, Number 2, April, 1979
Volume 17, Number 3, October, 1979
Volume 17, Number 4, December, 1979
Volume 18, Number 1, February, 1980
Volume 18, Number 2, April, 1980
Volume 18, Number 3, October, 1980
Volume 18, Number 4, December, 1980
Volume 19, Number 1, February, 1981
Volume 19, Number 2, April, 1981
Volume 19, Number 3, August, 1981
Volume 19, Number 4, October, 1981
Volume 19, Number 5, December, 1981
Volume 20, Number 1, February, 1982
Volume 20, Number 2, May, 1982
Volume 20, Number 3, August, 1982
Volume 20, Number 4, November, 1982
Volume 21, Number 1, February, 1983
Volume 21, Number 2, May, 1983
Volume 21, Number 3, August, 1983
Volume 21, Number 4, November, 1983
Volume 22, Number 1, February, 1984
Volume 22, Number 2, May, 1984
Volume 22, Number 3, August, 1984
Volume 22, Number 4, November, 1984
Volume 23, Number 1, February, 1985
Volume 23, Number 2, May, 1985
Volume 23, Number 3, August, 1985
Volume 23, Number 4, November, 1985
Volume 24, Number 1, February, 1986
Volume 24, Number 2, May, 1986
Volume 24, Number 3, August, 1986
Volume 24, Number 4, November, 1986
Volume 25, Number 1, February, 1987
Volume 25, Number 2, May, 1987
Volume 25, Number 3, August, 1987
Volume 25, Number 4, November, 1987
Volume 26, Number 1, February, 1988
Volume 26, Number 2, May, 1988
Volume 26, Number 3, August, 1988
Volume 26, Number 4, November, 1988
Volume 27, Number 1, February, 1989
Volume 27, Number 2, May, 1989
Volume 27, Number 3, June, 1989
Volume 27, Number 4, August, 1989
Volume 27, Number 5, November, 1989
Volume 28, Number 1, February, 1990
Volume 28, Number 2, May, 1990
Volume 28, Number 3, August, 1990
Volume 28, Number 4, November, 1990
Volume 29, Number 1, February, 1991
Volume 29, Number 2, May, 1991
Volume 29, Number 3, August, 1991
Volume 29, Number 4, November, 1991
Volume 30, Number 1, February, 1992
Volume 30, Number 2, May, 1992
Volume 30, Number 3, August, 1992
Volume 30, Number 4, November, 1992
Volume 31, Number 1, February, 1993
Volume 31, Number 2, May, 1993
Volume 31, Number 3, August, 1993
Volume 31, Number 4, November, 1993
Volume 32, Number 1, February, 1994
Volume 32, Number 2, May, 1994
Volume 32, Number 3, June, 1994
Volume 32, Number 4, August, 1994
Volume 32, Number 5, November, 1994
Volume 33, Number 1, February, 1995
Volume 33, Number 2, May, 1995
Volume 33, Number 3, June, 1995
Volume 33, Number 4, August, 1995
Volume 33, Number 5, November, 1995
Volume 34, Number 1, February, 1996
Volume 34, Number 2, May, 1996
Volume 34, Number 3, June, 1996
Volume 34, Number 4, August, 1996
Volume 34, Number 5, November, 1996
Volume 35, Number 1, February, 1997
Volume 35, Number 2, May, 1997
Volume 35, Number 3, August, 1997
Volume 35, Number 4, November, 1997
Volume 36, Number 1, February, 1998
Volume 36, Number 2, May, 1998
Volume 36, Number 3, June, 1998
Volume 36, Number 4, August, 1998
Volume 36, Number 5, November, 1998
Volume 37, Number 1, February, 1999
Volume 37, Number 2, May, 1999
Volume 37, Number 3, August, 1999
Volume 37, Number 4, November, 1999
Volume 38, Number 1, February, 2000
Volume 38, Number 2, May, 2000
Volume 38, Number 3, June, 2000
Volume 38, Number 4, August, 2000
Volume 38, Number 5, November, 2000
Volume 39, Number 1, February, 2001
Volume 39, Number 2, May, 2001
Volume 39, Number 3, June, 2001
Volume 39, Number 4, August, 2001
Volume 39, Number 5, November, 2001
Volume 40, Number 1, February, 2002
Volume 40, Number 2, May, 2002
Volume 40, Number 3, June, 2002
Volume 40, Number 4, August, 2002
Volume 40, Number 5, November, 2002
Volume 41, Number 1, February, 2003
Volume 41, Number 2, May, 2003
Volume 41, Number 3, June, 2003
Volume 41, Number 4, August, 2003
Volume 41, Number 5, November, 2003
Volume 42, Number 1, February, 2004
Volume 42, Number 2, May, 2004
Volume 42, Number 3, August, 2004
Volume 42, Number 4, November, 2004
Volume 43, Number 1, February, 2005
Volume 43, Number 2, May, 2005
Volume 43, Number 3, August, 2005
Volume 43, Number 4, November, 2005
Volume 44, Number 1, February, 2006
Volume 44, Number 2, May, 2006
Volume 44, Number 3, August, 2006
Volume 44, Number 4, November, 2006
Volume 45, Number 1, February, 2007
Volume 45, Number 2, May, 2007
Volume 45, Number 3, August, 2007
Volume 45, Number 4, November, 2007
Volume 46/47, Number 1, February, 2008\slash 2009
Volume 46/47, Number 2, May, 2008\slash 2009
Volume 46/47, Number 3, August, 2008\slash 2009
Volume 46/47, Number 4, November, 2008\slash 2009
Volume 48, Number 1, February, 2010
Volume 48, Number 2, May, 2010
Volume 48, Number 3, August, 2010
Volume 48, Number 4, November, 2010
Volume 49, Number 1, February, 2011
Volume 49, Number 2, May, 2011
Volume 49, Number 3, August, 2011
Volume 49, Number 4, November, 2011
Volume 50, Number 1, February, 2012
Volume 50, Number 2, May, 2012
Volume 50, Number 3, August, 2012
Volume 50, Number 4, November, 2012
Volume 51, Number 1, February, 2013
Volume 51, Number 2, May, 2013
Volume 51, Number 3, August, 2013
Volume 51, Number 4, November, 2013
Volume 52, Number 1, February, 2014
Volume 52, Number 2, May, 2014
Volume 52, Number 3, August, 2014
Volume 52, Number 4, November, 2014
Volume 52, Number 5, December, 2014
Volume 53, Number 1, February, 2015
Volume 53, Number 2, May, 2015
Volume 53, Number 3, August, 2015
Volume 53, Number 4, November, 2015
Volume 54, Number 1, February, 2016
Volume 54, Number 2, May, 2016
Volume 54, Number 3, August, 2016
Volume 54, Number 4, November, 2016
Volume 55, Number 1, February, 2017
Volume 55, Number 2, May, 2017
Volume 55, Number 3, August, 2017
Volume 55, Number 4, November, 2017
Volume 55, Number 5, December, 2017
Volume 56, Number 1, February, 2018
Volume 56, Number 2, May, 2018
Volume 56, Number 3, August, 2018
Volume 56, Number 4, November, 2018
Volume 57, Number 1, February, 2019
Volume 67, Number 12, 2019
Volume 57, Number 1, February, 2019
Volume 57, Number 2, May, 2019
Volume 57, Number 3, August, 2019
Volume 57, Number 4, November, 2019
Volume 57, Number 5, December, 2019
Volume 58, Number 1, February, 2020
Volume 58, Number 2, May, 2020
Volume 58, Number 3, August, 2020
Volume 58, Number 4, November, 2020
Volume 58, Number 5, December, 2020
Volume 59, Number 1, February, 2021
Volume 59, Number 2, May, 2021
Volume 59, Number 3, August, 2021
Volume 59, Number 4, November, 2021
Volume 60, Number 1, February, 2022
Volume 60, Number 2, May, 2022
Volume 60, Number 3, August, 2022
Volume 60, Number 4, November, 2022
Volume 60, Number 5, December, 2022
Volume 61, Number 1, February, 2023
Volume 61, Number 2, May, 2023
Volume 61, Number 3, August, 2023
Volume 61, Number 4, November, 2023
Volume 62, Number 1, February, 2024
Volume 4, Number 1, 1893
Volume 26, Number 1, 1919
Volume ??, Number ??, 1929
Volume 19, 1939
Volume 2, 1940
Volume 47, Number 2, February, 1940
Volume 23, 1941
Volume 52, Number 4, April, 1945
Volume 53, Number 8, October, 1946
Volume 14, Number ??, 1948
Volume 4, Number ??, 1949
Volume 16, Number ??, 1950
Volume 16, Number 3, 1950
Volume 17, Number 3-4, 1951
Volume 17, 1951
Volume 5, Number ??, 1953
Volume 19, Number 2--3, 1953
Volume 18, Number ??, 1953
Volume 60, Number 10, December, 1953
Volume 19, Number ??, December, 1954
Volume 20, Number ??, 1954
Volume 21, Number ??, 1955
Volume 63, Number 9, November, 1956
Volume 23, Number ??, 1957
Volume 66, Number 2, February, 1959
Volume 3, Number 12, December, 1960
Volume 67, Number 8, October, 1960
Volume 67, Number 9, November, 1960
Volume 67, Number 6, June / July, 1960
Volume 68, Number 7, August / September, 1961
Volume 68, Number 8, October, 1961
Volume 68, Number 5, May, 1961
Volume 4, Number 6, June, 1961
Volume 68, Number 7, August / September, 1961
Volume 69, Number 10, December, 1962
Volume 70, Number 4, April, 1963
Volume 70, Number 3, March, 1963
Volume 6, Number 10, October, 1963
Volume 70, Number 8, October, 1963
Volume 17, Number 84, October, 1963
Volume 70, Number 9, November, 1963
Volume 71, Number 8, October, 1964
Volume 71, Number 6, June / July, 1964
Volume 71, Number 10, December, 1964
Volume 71, Number 6, June / July, 1964
Volume 71, Number 4, April, 1964
Volume 18, Number 85, January, 1964
Volume 72, Number 3, March, 1965
Volume 72, Number 8, October, 1965
Volume 12, Number 1, January, 1965
Volume 5, Number 4, 1965
Volume 18, Number ??, 1966
Volume 21, Number 100, October, 1967
Volume 9, Number 4, February, 1967
Volume 6, Number ??, 1968
Volume 22, 1969
Volume 10, Number 8, August, 1969
Volume 23, Number 108, October, 1969
Volume 12, Number 1, January, 1971
Volume 78, Number 10, December, 1971
Volume 251, 1972
Volume 1, Number 5, October ??, 1972
Volume 1, Number 4, June ??, 1972
Volume 13, Number 3, March, 1972
Volume 41, 1972
Volume 16, Number 10, October, 1973
Volume 13, Number 1, March, 1973
Volume 80, Number 2, February, 1973
Volume 20, Number 3, July, 1973
Volume 26, Number 5--6, 1974
Volume 29, Number 130, April, 1975
Volume 18, Number ??, 1975
Volume 18, Number 6, June, 1975
Volume 31, Number ??, 1975
Volume 29, Number 129, January, 1975
Volume 17, Number 3, 1975
Volume 3, Number 3, August, 1976
Volume 30, Number 133, January, 1976
Volume 20, Number 6, June, 1977
Volume XX, Number ??, 1978
Volume 9, Number 3, June, 1978
Volume 21, Number ??, 1978
Volume 74, Number 2, September 21, 1978
Volume 7, Number 6, October ??, 1978
Volume 22, Number 1, February, 1979
Volume 33, Number 145, January, 1979
Volume 22, Number ??, 1979
Volume 748, 1979
Volume 21, Number 1--4, 1979
Volume 22, Number 1, February, 1979
Volume 35, Number 152, October, 1980
Volume 11, Number 2, October ??, 1980
Volume 17, Number 4, December, 1980
Volume 11, Number 4--5, December 12, 1980
Volume 35, Number 151, July, 1980
Volume 1, Number 3, 1980
Volume 10, Number 2, March 18, 1980
Volume 12, Number 4, 1981
Volume 18, Number 3, September, 1981
Volume 21, Number ??, 1981
Volume 23, Number 2, 1981
Volume 13, Number 1, January, 1982
Volume 4, Number 2, 1982
Volume 25, Number 3, August, 1982
Volume 25, Number ??, 1982
Volume 34, Number ??, 1982
Volume 21, Number 4, 1983
Volume 17, Number 1, July 19, 1983
Volume 26, Number 3, August, 1983
Volume 25, Number 2, 1983
Volume 26, Number ??, 1983
Volume 5, Number 3, July / September, 1983
Volume 15, Number 2, March, 1984
Volume 29, Number 1-2, March, 1984
Volume 6, Number 4, October / December, 1984
Volume 19, Number 2, August 31, 1984
Volume 13, Number 2, April, 1984
Volume 91, Number 6, June / July, 1984
Volume 28, Number 2, July, 1985
Volume 26, Number 9, September, 1985
Volume 72, Number 1--3, 1985
Volume 67, 1985
Volume 45, Number 172, October, 1985
Volume 12, Number 3, August, 1985
Volume 2, Number 1, February, 1986
Volume 33, Number 1, January, 1986
Volume 22, Number 2, February, 1986
Volume 15, Number 3, 1986
Volume 21, Number 5, May, 1986
Volume 33, Number 2, March, 1987
Volume 18, Number 4, September, 1987
Volume 24, Number 5, March 16, 1987
Volume 34, Number 1, January, 1987
Volume 82, Number 398, June, 1987
Volume 19, Number 3, September 1, 1987
Volume 8, Number 7, October, 1987
Volume 34, Number 3, July, 1987
Volume 25, Number 4, June 17, 1987
Volume 22, Number 6, June, 1987
Volume C-36, Number 9, September, 1987
Volume 48, Number 177, January, 1987
Volume 9, Number 5, September, 1988
Volume 50, Number 182, April, 1988
Volume 50, Number 181, January, 1988
Volume 5, Number 1, January, 1988
Volume 31, Number 11, November, 1988
Volume 2, Number 1, February, 1988
Volume 51, Number 183, July, 1988
Volume 1, Number 1, 1988
Volume 31, Number ??, 1988
Volume 95, Number 9, November, 1988
Volume 61, Number 1, October, 1988
Volume 51, Number 3--4, May, 1988
Volume 10, Number 4, October / December, 1988
Volume 35, Number 1, January, 1989
Volume 33, Number 2, November 10, 1989
Volume 32, Number 3, August 24, 1989
Volume 3, Number 1, January, 1989
Volume 32, Number 5, September 22, 1989
Volume 38, Number 4, 1989
Volume 36, Number 3, July, 1989
Volume 1398, 1989
Volume 64, Number 1, April, 1989
Volume 56, Number 3--4, August, 1989
Volume 48, Number 1--2, October, 1989
Volume 32, Number 2, June, 1990
Volume 10, Number 1, 1990
Volume 97, Number 3, March, 1990
Volume 31, Number 1, July 24, 1990
Volume 97, Number 9, November, 1990
Volume 63, Number 1, February, 1990
Volume 60, Number 3, October, 1990
Volume 9, Number 1, January, 1990
Volume 54, Number 8, 1990
Volume 36, Number 1, October 1, 1990
Volume 25, Number 6, June, 1990
Volume 16, Number 6, June, 1991
Volume 51, Number 3, June, 1991
Volume 57, Number 196, October, 1991
Volume 65, Number 3--4, November, 1991
Volume 75, Number 2, 1991
Volume 1, Number 3, Winter, 1992
Volume 140, Number 19, November 9, 1991
Volume 40, Number 4, November 25, 1991
Volume 88, Number 2, October 07, 1991
Volume 1509, 1992
Volume 23, Number 5, November, 1992
Volume 2, Number 2-3, September, 1992
Volume 1, Number 3, Winter, 1992
Volume 99, Number 3, March, 1992
Volume 2, Number 3, Summer, 1992
Volume 5, Number 1--2, Winter--Spring, 1992
Volume 21, Number 4, 1992
Volume 47, Number 3, September 30, 1993
Volume 100, Number 4, April, 1993
Volume 44, Number 3, July, 1993
Volume 22, Number 4, August, 1993
Volume 47, Number 1--2, 1993
Volume 60, Number 202, April, 1993
Volume 4, Number 1, January, 1993
Volume 718, 1993
Volume 26, Number 9, November, 1993
Volume 61, Number 203, July, 1993
Volume 34, Number 10, October, 1993
Volume 18, Number 1, January, 1993
Volume 24, Number 1, Winter, 1993
Volume 1550, 1993
Volume 60, Number 202, April, 1993
Volume 3, Number 4, October, 1993
Volume ??, Number ??, June 8, 1993
Volume 834, 1994
Volume 63, Number 207, July, 1994
Volume 136, Number 2, December 29, 1994
Volume 49, Number 3--4, 1994
Volume 25, Number 2, March, 1994
Volume 35, Number 2, February, 1994
Volume 51, Number 2, July 26, 1994
Volume 53, Number 1, 1994
Volume 20, Number 9, September 12, 1994
Volume 51, Number 1, May 30, 1994
Volume 6, Number 3, 1994
Volume 17, Number 5, June, 1994
Volume 19, Number 4, April, 1994
Volume 19, Number 1, January, 1994
Volume 4, Number 3, July, 1995
Volume 1008, 1995
Volume 964, 1995
Volume 272, Number 5, May, 1995
Volume 272, Number 1, January, 1995
Volume 20, Number 2, August, 1995
Volume 963, 1995
Volume 54, Number 6, June 23, 1995
Volume 55, Number 4, August 25, 1995
Volume 63, Number 2, August, 1995
Volume 4, Number 2, 1995
Volume 53, Number 5, March 10, 1995
Volume 27, Number 2, June, 1995
Volume 119, Number 2, July, 1995
Volume 21, Number 3, March 10, 1995
Volume 102, Number 8, October, 1995
Volume 5, Number 2, April, 1995
Volume 102, Number 7, August / September, 1995
Volume 917, 1995
Volume 272, Number 5, May, 1995
Volume 64, Number 210, April, 1995
Volume 17, Number 2, March, 1995
Volume 29, Number 12, June, 1995
Volume 165, Number 2, October 10, 1996
Volume 4, Number 3, Fall, 1996
Volume 59, Number 5, September 9, 1996
Volume 39, Number 4, 1996
Volume 20, Number 1, March, 1996
Volume 27, Number 2, March, 1996
Volume 57, Number 5, March 11, 1996
Volume 54, Number 1, September, 1996
Volume 45, Number 1, August 25, 1997
Volume 66, Number 218, April, 1997
Volume 22, Number 1, January, 1997
Volume 178, Number 1--2, May 30, 1997
Volume 28, Number 2, March, 1997
Volume 8, Number 7, July, 1997
Volume 172, Number 1--2, February 10, 1997
Volume 22, Number 9, September, 1997
Volume 8, Number 7, July, 1997
Volume 1189, 1997
Volume 251, Number 1--3, January 15, 1997
Volume 12, Number 6, November, 1997
Volume 63, Number 4, 1997
Volume 8, Number 12, December, 1997
Volume 23, Number 1, January, 1998
Volume 8, Number 2, 1998
Volume 52, Number 2, February, 1998
Volume 195, Number 1, March 20, 1998
Volume 30, Number 5, November, 1999
Volume 106, Number 4, April, 1999
Volume 68, Number 225, January, 1999
Volume 455, Number 1987, July 8, 1999
Volume 218, Number 1, April 28, 1999
Volume 155, Number 24, June 12, 1999
Volume 31, Number 2, June, 1999
Volume 10, Number 7, July, 1999
Volume 38, Number 11--12, December, 1999
Volume 28, Number 4, 1999
Volume 237, Number 1--2, April 28, 2000
Volume 320, Number 1--3, November 15, 2000
Volume 26, Number 3, September, 2000
Volume 26, Number 4, December, 2000
Volume 32, Number 4, December, 2000
Volume 27, Number 4, 2000
Volume 1851, 2000
Volume 75, Number 6, November 30, 2000
Volume 69, Number 231, July, 2000
Volume 39, Number 3--4, February, 2000
Volume 4, Number 1, 2001
Volume 108, Number 10, December, 2001
Volume 50, Number 5, May, 2001
Volume 33, Number 3, May, 2002
Volume 5, Number 2, 2002
Volume 34, Number 1, March, 2002
Volume 109, Number 7, August / September, 2002
Volume 30, Number 1, June, 2002
Volume 31, Number 6, December, 2002
Volume 109, Number 1, January, 2002
Volume 7, Number 3, 2002
Volume 109, Number 8, October, 2002
Papers beginning 2002
Volume 29, Number 2, May, 2002
Volume 23, Number 2, 2003
Volume 55, Number ??, 2003
Papers beginning 2003
Volume 328, Number 1--2, October, 2003
Volume 136, Number 2--3, March 15, 2003
Volume 23, Number 2, Leonardo Fibonacci. Matematica e societa nel Mediterraneo nel secolo XIII. Vol. I, 2003
Volume 141, Number 2--3, September 5, 2003
Volume 142, Number 2--3, October 10, 2003
Volume 373, Number 1, November 1, 2003
Volume 9, Number 5, May 28, 2003
Volume 1, Number 2, December, 2003
Volume 141, Number 2--3, September 5, 2003
Volume 143, Number 1, October 20, 2003
Volume 144, Number 2--3, December 10, 2003
Volume 23, Number 2, 2003
Volume 35, Number 2, June, 2003
Volume 370, Number 1, September 1, 2003
Volume 143, Number 2--3, November 10, 2003
Volume 111, Number 10, December, 2004
Volume 65, Number 6, June, 2004
Volume 73, Number 247, July, 2004
Volume 326, Number 1--3, October 20, 2004
Volume 24, Number 1, 2004
Volume 89, Number 4, February 28, 2004
Volume 147, Number 3, January 16, 2004
Volume 111, Number 2, February, 2004
Volume 30, Number 7, July, 2004
Volume 28, Number 2, April, 2004
Volume 147, Number 3, January 16, 2004
Volume 155, Number 3, August 16, 2004
Volume 112, Number 7, August / September, 2005
Volume 135, Number 1, November, 2005
Volume 346, Number 2--3, November 28, 2005
Volume 337, Number 1--3, June 9, 2005
Volume 18, Number 4, 2005
Volume 395, Number 1, January 15, 2005
Volume 349, Number 3, December 16, 2005
Volume 11, Number 1, 2005
Volume 162, Number 3, March 25, 2005
Volume 167, Number 1, August 5, 2005
Volume 37, Number 2, June, 2005
Volume 121, Number 5--6, December, 2005
Volume 170, Number 1, November 1, 2005
Volume 160, Number 1, January 5, 2005
Volume 173, Number 2, February 15, 2006
Volume 121, Number 1, November, 2006
Volume 363, Number 2, October 28, 2006
Volume 37, Number 4, September, 2006
Volume 15, Number 1, 2006
Volume 45, Number 3, December, 2007
Volume 14, Number 3, 2007
Volume 34, Number 3, August, 2007
Volume 209, Number 2, December 15, 2007
Volume 194, Number 2, December 15, 2007
Volume 76, Number 260, October, 2007
Volume 39, Number 3, September, 2007
Volume 190, Number 2, July 15, 2007
Volume 188, Number 1, May 1, 2007
Volume 49, Number 2, October, 2007
Volume 190, Number 1, July 1, 2007
Volume 77, Number 261, January, 2008
Volume 39, Number 2, March, 2008
Volume 49, Number 6, June, 2008
Volume 197, Number 1, March 15, 2008
Volume 198, Number 1, April 15, 2008
Volume 206, Number 2, December 15, 2008
Volume 11, Number 1, February, 2008
Volume 11, Number 2, April, 2008
Volume 51, Number 4, 2008
Volume 200, Number 1, June 15, 2008
Volume 23, Number 1, 2008
Volume 142, Number 3--4, November, 2008
Volume 11, Number 2, April, 2008
Volume 4, Number 1, March, 2008
Volume 42, Number 1--2, mar # / # jun, 2008
Volume 56, Number 1, July, 2008
Volume 17, Number 1, 2008
Volume 41, Number 1, March, 2008
Volume 40, Number 3, September, 2008
Volume 115, Number 9, November, 2008
Volume 40, Number 4, December, 2008
Volume 70, Number 3, April, 2008
Volume 196, Number 2, March 1, 2008
Volume 82, Number 2, 2009
Volume 208, Number 1, February 1, 2009
Volume 3, Number 2, 2009
Volume 36, Number 1, February, 2009
Volume 209, Number 1, March 1, 2009
Volume 40, Number 4, September, 2009
Volume 51, Number 2, May, 2009
Volume 130, Number 9, September, 2010
Volume 216, Number 3, April 1, 2010
Volume 59, Number 1, January, 2010
Volume 215, Number 12, February 15, 2010
Volume 60, Number 10, November, 2010
Volume 6, Number 2, March, 2010
Volume 37, Number 4, November, 2010
Volume 46, Number 1, February, 2010
Volume 217, Number 8, December 15, 2010
Volume 53, Number 6, July, 2010
Volume 6, Number 7, November, 2010
Volume 94, Number 529, March, 2010
Volume 216, Number 10, July 15, 2010
Volume 110, Number 21, October 15, 2010
Papers beginning November, 2011
Volume 61, Number 9, May, 2011
Volume 59, Number 3, 2011
Volume 20, Number 2, 2011
Volume 218, Number 3, October 1, 2011
Volume 61, Number 9, May, 2011
Volume 217, Number 12, February 15, 2011
Volume 95, Number 534, November, 2011
Volume 7, Number 3, May, 2011
Volume 65, Number 2, March, 2011
Volume 63, Number 1, February, 2011
Volume 217, Number 12, February 15, 2011
Volume 142, Number 4, February, 2011
Volume 131, Number 3, March, 2011
Volume 217, Number 22, July 15, 2011
Volume 95, Number 533, July, 2011
Volume 230, Number 4, February 20, 2011
Volume 95, Number 534, November, 2011
Volume 217, Number 23, August 1, 2011
Volume 217, Number 24, August 15, 2011
Volume 31, Number 2, 2011
Volume 54, Number 8, August, 2011
Volume 217, Number 12, February 15, 2011
Volume 219, Number 2, October 1, 2012
Volume 43, Number 3, May, 2012
Volume 82, Number 9, September, 2012
Volume 437, Number 1, June 15, 2012
Volume 132, Number 12, December, 2012
Papers beginning October 28, 2012
Volume 47, Number 8, August, 2012
Volume 218, Number 17, May 1, 2012
Volume 218, Number 19, June 1, 2012
Volume 132, Number 8, August, 2012
Volume 432, Number 1, May 11, 2012
Volume 53, Number 6, June, 2012
Volume 35, Number 1, March, 2013
Volume 133, Number 9, September, 2013
Volume 133, Number 6, June, 2013
Volume 9, Number 5, August, 2013
Volume 438, Number 2, January 15, 2013
Volume 153, Number 2, October, 2013
Volume 97, Number 538, March, 2013
Volume 97, Number 539, July, 2013
Volume 220, Number ??, September 1, 2013
Volume 133, Number 9, September, 2013
Volume 219, Number 14, March 15, 2013
Volume 18, Number 3, December, 2013
Volume 438, Number 11, June 1, 2013
Volume 32, Number 8, December, 2013
Volume 219, Number 12, February 15, 2013
Volume 48, Number 5, May, 2013
Volume 482, Number ??, April 22, 2013
Volume 97, Number 540, November, 2013
Volume 219, Number 10, January 15, 2013
Volume 245, Number ??, October 15, 2014
Volume 132, Number 1, January, 2014
Volume 236, Number ??, June 1, 2014
Volume 440, Number ??, January 1, 2014
Volume 547, Number ??, August 28, 2014
Volume 247, Number ??, November 15, 2014
Volume 229, Number ??, February 25, 2014
Volume 80, Number 6, September, 2014
Volume 98, Number 542, July, 2014
Volume 121, Number 6, June, 2014
Volume 9, Number 1, 2014
Volume 10, Number 4, June, 2014
Volume 226, Number ??, January 1, 2014
Volume 98, Number 541, March, 2014
Volume 229, Number ??, February 25, 2014
Volume 528, Number ??, April 3, 2014
Volume 16, Number ??, 2014
Volume 121, Number 3, March, 2014
Volume 236, Number ??, June 1, 2014
Volume 233, Number ??, May 1, 2014
Volume 250, Number ??, January 1, 2015
Volume 21, Number 2, June, 2015
Volume 11, Number 1, February, 2015
Volume 156, Number ??, November, 2015
Volume 122, Number 6, June, 2015
Volume 23, Number 8, August, 2015
Volume 99, Number 544, March, 2015
Volume 475, Number ??, June 15, 2015
Volume 46, Number 2, March, 2015
Volume 593, Number ??, August 16, 2015
Volume 268, Number ??, October 1, 2015
Volume 34, Number 6, November, 2015
Volume 11, Number 3, May, 2015
Volume 122, Number 7, August, 2015
Volume 69, Number 4, July, 2015
Volume 149, Number ??, April, 2015
Volume 6, Number 2, 2015
Volume 152, Number ??, July, 2015
Volume 71, Number 4, April, 2015
Volume 116, Number 5, May, 2016
Volume 21, Number 2, June, 2016
Volume 163, Number ??, June, 2016
Volume 638, Number ??, July 25, 2016
Volume 47, Number 4, December, 2016
Volume 50, Number 4, December, 2016
Volume 657 (part B), Number ??, 2016
Volume 27, Number 8, December, 2016
Volume 123, Number 10, December, 2016
Volume 123, Number 4, April, 2016
Volume 64, Number 11, 2016
Volume 110, Number ??, December, 2016
Volume 273, Number ??, January 15, 2016
Volume 64, Number 2, 2016
Volume 25, Number 4, 2016
Volume 668, Number ??, March 15, 2017
Volume 65, Number 5, 2017
Volume 9, Number 3, May, 2017
Volume 58, Number 12, December, 2017
Volume 13, Number 3, August, 2017
Volume 46, Number 5, 2017
Volume 60, Number 4, December, 2017
Volume 121, Number ??, February, 2017
Volume 32, Number 1, 2017
Volume 48, Number 2, March, 2017
Volume 180, Number ??, November, 2017
Volume 302, Number ??, June 1, 2017
Volume 101, Number 552, November, 2017
Volume 307, Number ??, August 15, 2017
Volume 306, Number ??, August 1, 2017
Volume 33, Number 1, 2018
Volume 320, Number ??, March 1, 2018
Volume 338, Number ??, December 1, 2018
Volume 190, Number ??, September, 2018
Volume 182, Number ??, January, 2018
Volume 134, Number ??, June, 2018
Volume 189, Number ??, August, 2018
Volume 125, Number 5, 2018
Volume 140, Number ??, December, 2018
Volume 51, Number 2, June, 2018
Volume 49, Number 2, March, 2018
Volume 14, Number 4, May, 2018
Volume 325, Number ??, May 15, 2018
Volume 33, Number 2, 2018
Volume 339, Number ??, December 15, 2018
Volume 775, Number ??, July 5, 2019
Volume 15, Number 3, April, 2019
Volume 41, Number 4, November, 2019
Volume 795, Number ??, November 26, 2019
Volume 30, Number 8, August, 2019
Volume 203, Number ??, October, 2019
Volume 67, Number 1, 2019
Volume 126, Number 1, 2019
Volume 126, Number 9, 2019
Volume 60, Number 1, January, 2019
Volume 103, Number 558, November, 2019
Volume 67, Number 8, 2019
Volume 126, Number 5, 2019
Volume 217, Number ??, December, 2020
Volume 210, Number ??, May, 2020
Volume 16, Number 7, August, 2020
Volume 809, Number ??, February 24, 2020
Volume 31, Number 05, August, 2020
Volume 127, Number 2, 2020
Volume 68, Number 10, 2020
Volume 212, Number ??, July, 2020
Volume 104, Number 559, March, 2020
Volume 104, Number 561, November, 2020
Volume 16, Number 09, October, 2020
Volume 88, Number 1, January, 2020
Volume 617, Number ??, May 15, 2021
Volume 78, Number 1, 2021
Volume 226, Number ??, September, 2021
Volume 225, Number ??, August, 2021
Volume 871, Number ??, June 6, 2021
Volume 222, Number ??, May, 2021
Volume 105, Number 562, March, 2021
Volume 128, Number 1, 2021
Volume 93, Number 4, April, 2021
Volume 220, Number ??, March, 2021
Volume 61, Number ??, September, 2021
Volume 17, Number 08, September, 2021
Volume 27, Number 4, 2021
Volume 927, Number ??, August 26, 2022
Volume 106, Number 567, November, 2022
Volume 61, May, 2022
Volume 37, Number 1, February, 2022
Volume 106, Number 565, March, 2022
Volume 231, Number ??, February, 2022
Volume 918, Number ??, May 29, 2022
Volume 129, Number 1, 2022
Volume 106, Number 565, March, 2022
Volume 106, Number 566, July, 2022
Volume 54, Number 4, 2023
Volume 130, Number 1, 2023
Volume 16, Number 3, September, 2023
Volume 107, Number 568, March, 2023
Volume 130, Number 8, 2023
Volume 380, Number 6650, June 16, 2023
Volume 257, Number ??, April, 2024
Volume 65, Number 12, 2017
Volume 101, Number 552, November, 2017
Volume 101, Number 553, March, 2018


Fibonacci Quarterly
Volume 1, Number 1, February, 1963

               J. L. Brown, Jr.   A Generalization of Semi-Completeness
                                  for Integer Sequences  . . . . . . . . . 3--15
                   Paul F. Byrd   Expansion of Analytic Functions in
                                  Polynomials Associated with Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 16--27
                      Anonymous   Problem Department . . . . . . . . . . . 28--29
                    H. W. Gould   Operational Recurrences Involving
                                  Fibonacci Numbers  . . . . . . . . . . . 30--33
              Brother U. Alfred   Additional Factors of the Fibonacci and
                                  Lucas Series . . . . . . . . . . . . . . 34--42
              Brother U. Alfred   On the Form of Primitive Factors of
                                  Fibonacci Numbers  . . . . . . . . . . . 43--45
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 46--48
                   Dmitri Thoro   Beginners' Corner  . . . . . . . . . . . 49--52
                    S. L. Basin   The Fibonacci Sequence As It Appears in
                                  Nature . . . . . . . . . . . . . . . . . 53--56
              Brother U. Alfred   Exploring Fibonacci Numbers  . . . . . . 57--63
                   Dmitri Thoro   Solutions, Beginner's Corner . . . . . . 64
                S. L. Basin and   
         Verner E. Hoggatt, Jr.   A Primer on the Fibonacci Sequence, Part
                                  I  . . . . . . . . . . . . . . . . . . . 65--72
                    S. L. Basin   Elementary Problems and Solutions  . . . 73
                      Anonymous   Cover Page . . . . . . . . . . . . . . . ??

Fibonacci Quarterly
Volume 1, Number 2, April, 1963

                    H. W. Gould   Generating Functions for Products of
                                  Powers of Fibonacci Numbers  . . . . . . 1--16
                     L. Carlitz   A Fibonacci Array  . . . . . . . . . . . 17--28
                 D. W. Robinson   The Fibonacci Matrix Modulo $m$  . . . . 29--36
                    John Vinson   The Relation of the Period Modulo $m$ to
                                  the Rank of Apparition of $m$ in the
                                  Fibonacci Sequence . . . . . . . . . . . 37--46
          Marjorie Bicknell and   
         Verner E. Hoggatt, Jr.   Fibonacci Matrices and Lambda Functions  47--52
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 53--55
                      Anonymous   Generating Fibonacci Series on a Desk
                                  Calculator . . . . . . . . . . . . . . . 56
                   Dmitri Thoro   Beginners' Corner  . . . . . . . . . . . 57--59
                   Maxey Brooke   Letter to the Editor: Fibonacci Formulas 60
                S. L. Basin and   
         Verner E. Hoggatt, Jr.   A Primer on the Fibonacci Sequence, Part
                                  II . . . . . . . . . . . . . . . . . . . 61--68
                 James A. Jeske   Linear Recurrence Relations, Part I  . . 69--73
                      Anonymous   Problem Department . . . . . . . . . . . 74
                I. Dale Ruggles   Some Fibonacci Results Using
                                  Fibonacci-Type Sequences . . . . . . . . 75--79
                   Dmitri Thoro   Hints to Beginner's Corner Problems  . . 80
              Brother U. Alfred   Exploring Recurrent Sequences  . . . . . 81--83
              Stephen P. Geller   A Computer Investigation of a Property
                                  of the Fibonacci Sequence  . . . . . . . 84
                    S. L. Basin   Elementary Problems and Solutions  . . . 85

Fibonacci Quarterly
Volume 1, Number 3, October, 1963

         V. E. Hoggatt, Jr. and   
                    S. L. Basin   Representations by Complete Sequences
                                  --- Part I (Fibonacci) . . . . . . . . . 1--14
                     Dov Jarden   On the Greatest Primitive Divisors of
                                  Fibonacci and Lucas Numbers With
                                  Prime-Power Subscripts . . . . . . . . . 15--20
                 Joseph A. Raab   A Generalization of the Connection
                                  Between the Fibonacci Sequence and
                                  Pascal's Triangle  . . . . . . . . . . . 21--31
                      Anonymous   Obituary for Morgan Ward . . . . . . . . 32
              Brother U. Alfred   Periodic Properties of Fibonacci
                                  Summations . . . . . . . . . . . . . . . 33--41
              Charles Ziegenfus   Letter to the Editor: Twin Primes  . . . 42
              A. P. Hillman and   
               M. T. Stroot and   
                   R. M. Grassl   Fibonacci Numbers and Zigzag Hasse
                                  Diagrams . . . . . . . . . . . . . . . . 43--45
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 46--52
                   Dmitri Thoro   Beginners' Corner  . . . . . . . . . . . 53--59
              Brother U. Alfred   Exploring Fibonacci Polygons . . . . . . 60
              I. D. Ruggles and   
         Verner E. Hoggatt, Jr.   A Primer on the Fibonacci Sequence, Part
                                  III  . . . . . . . . . . . . . . . . . . 61--65
                J. A. H. Hunter   Triangle Inscribed in Rectangle  . . . . 66
                      Ken Siler   Fibonacci Summations . . . . . . . . . . 67--70
                  Mark Feinberg   Fibonacci--Tribonacci  . . . . . . . . . 71--74
                    S. L. Basin   Elementary Problems and Solutions  . . . 75

Fibonacci Quarterly
Volume 1, Number 4, December, 1963

                 R. G. Buschman   Fibonacci Numbers, Chebyshev
                                  Polynomials, Generalizations and
                                  Difference Equations . . . . . . . . . . 1--7
                      Anonymous   History of the Fibonacci Quarterly . . . 8
            Michael J. Whinihan   Fibonacci Nim  . . . . . . . . . . . . . 9--14
                   Charles King   Leonardo Fibonacci . . . . . . . . . . . 15--20
                     Dov Jarden   On the Periodicity of the Last Digits of
                                  the Fibonacci Numbers  . . . . . . . . . 21--22
                Charles R. Wall   Some Remarks on Carlitz's Fibonacci
                                  Array  . . . . . . . . . . . . . . . . . 23--29
                   Dmitri Thoro   Reciprocals of Generalized Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 30
                    H. W. Gould   Fibonacci Exponentials and
                                  Generalizations of Hermite Polynomials   31--34
                 James A. Jeske   Linear Recurrence Relations --- Part III 35--40
                  A. F. Horadam   Further Appearance of the Fibonacci
                                  Sequence . . . . . . . . . . . . . . . . 41--42
              Brother U. Alfred   On the Ordering of the Fibonacci
                                  Sequence . . . . . . . . . . . . . . . . 43--46
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 47--52
              Brother U. Alfred   Dying Rabbit Problem Revived . . . . . . 53--56
    Sister Mary de Sales McNabb   Phyllotaxis  . . . . . . . . . . . . . . 57--60
                   J. Wlodarski   The ``Golden Ratio'' and the Fibonacci
                                  Numbers in the World of Atoms  . . . . . 61--64
             I. D. Bruggles and   
             V. E. Hoggatt, Jr.   A Primer on the Fibonacci Sequence, Part
                                  IV . . . . . . . . . . . . . . . . . . . 65--71
              Brother U. Alfred   Exploring the Fibonacci Representation
                                  of Integers  . . . . . . . . . . . . . . 72
                    S. L. Basin   Elementary Problems and Solutions  . . . 73
                      Anonymous   Index to Volume I  . . . . . . . . . . . ??


Fibonacci Quarterly
Volume 2, Number 1, February, 1964

                   R. L. Graham   A Property of Fibonacci Numbers  . . . . 1--10
              Brother U. Alfred   On Square Lucas Numbers  . . . . . . . . 11--12
            Robert E. Greenwood   Lattice Paths and Fibonacci Numbers  . . 13--14
                     L. Carlitz   A Note on Fibonacci Numbers  . . . . . . 15--28
     Verner E. Hoggatt, Jr. and   
              Marjorie Bicknell   Some New Fibonacci Identities  . . . . . 29--31
                      Anonymous   Corrections  . . . . . . . . . . . . . . 32
              Brother U. Alfred   Primes Which Are Factors Of All
                                  Fibonacci Sequences  . . . . . . . . . . 33--38
                   J. H. Jordan   A Fibonacci Test For Convergence . . . . 39--41
              Brother U. Alfred   Exploring Fibonacci Residues . . . . . . 42
                   Donald Knuth   Transcendental Numbers Based On The
                                  Fibonacci Sequence . . . . . . . . . . . 43--44
                     Dov Jarden   Strengthened Inequalities For Fibonacci
                                  And Lucas Numbers  . . . . . . . . . . . 45--48
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 49--52
                   Dmitri Thoro   Beginners' Corner  . . . . . . . . . . . 53--56
                   Glen Michael   A New Proof For An Old Property  . . . . 57--58
     Verner E. Hoggatt, Jr. and   
                 I. D. Bruggles   A Primer on the Fibonacci Sequence, Part
                                  V  . . . . . . . . . . . . . . . . . . . 59--66
              Francis D. Parker   On the General Term of a Recursive
                                  Sequence . . . . . . . . . . . . . . . . 67--71
                  A. P. Hillman   Elementary Problems and Solutions  . . . 72--80

Fibonacci Quarterly
Volume 2, Number 2, April, 1964

              Brother U. Alfred   Some Determinants Involving Powers of
                                  Fibonacci Numbers  . . . . . . . . . . . 81--92
            Terrence A. Brennan   Fibonacci Powers and Pascal's Triangle
                                  in a Matrix  . . . . . . . . . . . . . . 93--103
                  H. E. Huntley   Fibonacci Geometry . . . . . . . . . . . 104
                  David Zeitlin   On Summation Formulas for Fibonacci and
                                  Lucas Numbers  . . . . . . . . . . . . . 105--107
                John H. E. Cohn   Letter to the Editor . . . . . . . . . . 108
                John H. E. Cohn   Square Fibonacci Numbers, Etc. . . . . . 109--113
                     Phil Lafer   Exploring the Fibonacci Representation
                                  of Integers  . . . . . . . . . . . . . . 114
                 Daniel Fielder   Partition Enumeration by Means of
                                  Simpler Partitions . . . . . . . . . . . 115--117
                      Anonymous   Corrections  . . . . . . . . . . . . . . 118
                    S. L. Basin   A Note on Waring's Formula for Sums of
                                  Like Powers of Roots . . . . . . . . . . 119--121
                      Anonymous   Omissions  . . . . . . . . . . . . . . . 122
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 123--134
                   Dmitri Thoro   Beginners' Corner  . . . . . . . . . . . 135--137
              Brother U. Alfred   Exploring Fibonacci Numbers with a
                                  Calculator . . . . . . . . . . . . . . . 138
               Joseph Mandelson   Amateur Interests in the Fibonacci
                                  Series --- Prime Numbers . . . . . . . . 139--144
              A. P. Hillman and   
             G. L. Alexanderson   A Motivation for Continued Fractions . . 145--148
                   Maxey Brooke   Fibonacci Numbers: Their History Through
                                  1900 . . . . . . . . . . . . . . . . . . 149--153
                  A. P. Hillman   Elementary Problems and Solutions  . . . 154--160

Fibonacci Quarterly
Volume 2, Number 3, October, 1964

            Colonel R. S. Beard   Fibonacci Drawing Board  . . . . . . . . 161--162
               J. L. Brown, Jr.   Zeckendorf's Theorem and Some
                                  Applications . . . . . . . . . . . . . . 163--168
               L. T. Oliver and   
                    D. J. Wilde   Symmetric Sequential Minimax Search for
                                  a Maximum  . . . . . . . . . . . . . . . 169--175
         Verner E. Hoggatt, Jr.   Fibonacci Numbers from a Differential
                                  Equation . . . . . . . . . . . . . . . . 176
                  T. A. Brennan   Fibonacci Powers and Pascal's Triangle
                                  in a Matrix --- Part II  . . . . . . . . 177--183
                  H. E. Huntley   The Golden Cuboid  . . . . . . . . . . . 184
                     L. Carlitz   A Partial Difference Equation Related to
                                  the Fibonacci Numbers  . . . . . . . . . 185--196
                    J. A. Jeske   Linear Recurrence Relations --- Part III 197--202
                    H. W. Gould   Associativity and the Golden Section . . 203
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 204--209
              Brother U. Alfred   A Digit Muses \ldots . . . . . . . . . . 210
                   R. L. Heimer   Further Comments on the Periodicity of
                                  the Digits of the Fibonacci Sequence . . 211--214
                   B. B. Sharpe   The Vanishing Square . . . . . . . . . . 215
              Brother U. Alfred   Exploring Fibonacci Magic Squares  . . . 216
                   J. H. Halton   On Fibonacci Residues  . . . . . . . . . 217
                 David M. Bloom   Corrected Factorizations of Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 218
                      H. Norden   Proportions in Music . . . . . . . . . . 219
                   J. Brillhart   Remarks on a Second Order Recurring
                                  Sequence . . . . . . . . . . . . . . . . 220--222
                    M. Feinberg   New Slants . . . . . . . . . . . . . . . 223--227
                   W. W. Horner   Fibonacci and Pascal . . . . . . . . . . 228
                      E. Lehmer   On the Infinitude of Fibonacci
                                  Pseudo-Primes  . . . . . . . . . . . . . 229
                J. A. H. Hunter   Two Very Special Numbers . . . . . . . . 230
                  A. P. Hillman   Elementary Problems and Solutions  . . . 231--240

Fibonacci Quarterly
Volume 2, Number 4, December, 1964

                    H. W. Gould   Binomial Coefficients, the Bracket
                                  Function, and Composition with
                                  Relatively Prime Summands  . . . . . . . 241--259
                 B. G. Baumgart   Letter to the Editor . . . . . . . . . . 260
     Verner E. Hoggatt, Jr. and   
              Marjorie Bicknell   Fourth Power Fibonacci Identities from
                                  Pascal's Triangle  . . . . . . . . . . . 261--266
               Peter Hagis, Jr.   An Analytic Proof of the Formula for $
                                  F_n $  . . . . . . . . . . . . . . . . . 267--268
              Brother U. Alfred   Continued Fractions and Fibonacci and
                                  Lucas Ratios . . . . . . . . . . . . . . 269--276
               V. C. Harris and   
              Carolyn C. Styles   A Generalization of Fibonacci Numbers    277--289
                    N. A. Draim   Expansion of Pi in Terms of an Infinite
                                  Continued Fraction with Predictable
                                  Terms  . . . . . . . . . . . . . . . . . 290
                   Dmitri Thoro   An Application of Unimodular
                                  Transformations  . . . . . . . . . . . . 291--295
       Roseanna F. Torretto and   
                 J. Allen Fuchs   Generalized Binomial Coefficients  . . . 296--302
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 303--309
                  Richard Brian   The Problem of the Little Old Lady
                                  Trying to Cross the Busy Street or
                                  Fibonacci Gained and Fibonacci Relost    310--313
                 Ben L. Swensen   Application of Fibonacci Numbers to
                                  Solutions of Systems of Linear Equations 314--316
                   B. B. Sharpe   A Fibonacci --- Prime Number Relation    317
              Brother U. Alfred   Exploring Geometric--Algebraic Fibonacci
                                  Patterns . . . . . . . . . . . . . . . . 318--319
        Albert J. Faulconbridge   Fibonacci Summation Economics Part I . . 320--322
                  A. P. Hillman   Elementary Problems and Solutions  . . . 323--330
                      Anonymous   Volume Index . . . . . . . . . . . . . . 331


Fibonacci Quarterly
Volume 3, Number 1, February, 1965

               J. L. Brown, Jr.   A New Characterization of the Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 1--8
               David A. Klarner   Some Results Concerning Polyominoes  . . 9--20
                    H. H. Ferns   On the Representation of Integers as
                                  Sums of Distinct Fibonacci Numbers . . . 21--30
                 John H. Halton   On a General Fibonacci Identity  . . . . 31--43
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 44--52
              Brother U. Alfred   Math Morals (a Limerick) . . . . . . . . 53
              Sheryl B. Tadlock   Products of Odds . . . . . . . . . . . . 54--56
                  C. B. A. Peck   Exploring Scalene Fibonacci Polygons . . 57--58
              Brother U. Alfred   Note on Third Order Determinants . . . . 59--60
             Jeremy C. Pond and   
              Donald F. Howells   More on Fibonacci Nim  . . . . . . . . . 61--62
                Benjamin Sharpe   On Sums $ F_x^2 \pm F_y^2 $  . . . . . . 63
                 E. J. Karchmar   Phyllotaxis  . . . . . . . . . . . . . . 64--65
                      Anonymous   Corrections  . . . . . . . . . . . . . . 66
              Marjorie Bicknell   Fibonacci Fantasy: The Square Root of
                                  the $Q$ Matrix . . . . . . . . . . . . . 67--70
                        P. Naor   Letter to the Editor . . . . . . . . . . 71--73
                  A. P. Hillman   Elementary Problems and Solutions  . . . 74--80

Fibonacci Quarterly
Volume 3, Number 2, April, 1965

                     L. Carlitz   The Characteristic Polynomial of a
                                  Certain Matrix of Binomial Coefficients  81--89
               Charles W. Trigg   A Recursive Operation on Two-Digit
                                  Integers . . . . . . . . . . . . . . . . 90
         V. E. Hoggatt, Jr. and   
                  A. P. Hillman   The Characteristic Polynomial of the
                                  Generalized Shift Matrix . . . . . . . . 91--94
                   Selmo Tauber   Summation Formulae for Multinomial
                                  Coefficients . . . . . . . . . . . . . . 95--100
                   Paul F. Byrd   Expansion of Analytic Functions in Terms
                                  Involving Lucas Numbers or Similar
                                  Number Sequences . . . . . . . . . . . . 101--113
                      Anonymous   Correction . . . . . . . . . . . . . . . 114
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 115--128
              Brother U. Alfred   Seeking the Lost Gold Mine or Exploring
                                  for Fibonacci Factorizations . . . . . . 129--130
                 Henry Winthrop   Time Generated Compositions Yield
                                  Fibonacci Numbers  . . . . . . . . . . . 131--134
                 Marvin H. Holt   Mystery Puzzler and Phi  . . . . . . . . 135--138
                   Joseph Arkin   Ladder Network Analysis Using
                                  Polynomials  . . . . . . . . . . . . . . 139--142
         Douglas R. Stocks, Jr.   Concerning Lattice Paths and Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 143--145
             John L. Brown, Jr.   Reply to Exploring Fibonacci Magic
                                  Squares  . . . . . . . . . . . . . . . . 146
                    Eric Halsey   The Fibonacci Number $ {F}_u $ where $u$
                                  is not an Integer  . . . . . . . . . . . 147--152
                  A. P. Hillman   Elementary Problems and Solutions  . . . 153--159
                      Anonymous   Acknowledgments and Corrections  . . . . 160

Fibonacci Quarterly
Volume 3, Number 3, October, 1965

                  A. F. Horadam   Basic Properties of a Certain
                                  Generalized Sequence of Numbers  . . . . 161--176
                    H. W. Gould   Non-Fibonacci Numbers  . . . . . . . . . 177--183
                      Anonymous   Corrections  . . . . . . . . . . . . . . 184
                   Dmitri Thoro   Two Fibonacci Conjectures  . . . . . . . 184--186
              Robert B. Ely III   Fibonaccious Factors . . . . . . . . . . 187--198
                 R. G. Buschman   A Generating Function for Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 199--200
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 201--207
                   J. Wlodarski   The Fibonacci Numbers and the ``Magic''
                                  Numbers  . . . . . . . . . . . . . . . . 208
                     D. G. Mead   An Elementary Method of Summation  . . . 209--213
                   V. C. Harris   On Identities Involving Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 214--218
                  R. P. Kelisky   Concerning the Euclidean Algorithm . . . 219--223
              Brother U. Alfred   A Strip Method of Summing Linear
                                  Fibonacci Expressions  . . . . . . . . . 224--226
          Marjorie Bicknell and   
                 James Leissner   A Near-golden Rectangle and Related
                                  Recursive Series . . . . . . . . . . . . 227--231
            L. A. G. Dresel and   
                   D. E. Daykin   Factorization of 36 Fibonacci Numbers $
                                  F_n $ with $ n > 100 $  . . . . . . . . . 232
                    Eric Halsey   Letter to the Editor . . . . . . . . . . 233
                 Henry Winthrop   Comments on ``Time Generated,
                                  Compositions Yield Fibonacci Numbers''   234
                  A. P. Hillman   Elementary Problems and Solutions  . . . 235--240

Fibonacci Quarterly
Volume 3, Number 4, December, 1965

                  David Zeitlin   Power Identities for Sequences Defined
                                  by $ W_{n + 2} = d W_{n + 1} - d W_n $   241--256
                      Anonymous   Omission . . . . . . . . . . . . . . . . 257
                    H. W. Gould   A Variant of Pascal's Triangle . . . . . 257--271
                 I. I. Kolodner   On a Generating Function Associated with
                                  Generalized Fibonacci Sequences  . . . . 272--278
                    W. D. Skees   A Permutative Property of Certain
                                  Multiples of the Natural Numbers . . . . 279--291
                     D. A. Lind   On a Class of Nonlinear Binomial Sums    292--298
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 299--303
           Clyde A. Bridger and   
              Marjorie Bicknell   Continued Fraction Convergents as a
                                  Source of Fibonacci and Lucas Identities 304--308
        Albert J. Faulconbridge   Fibonacci Summation Economics Part II    309--314
                   J. H. Jordan   Gaussian Fibonacci and Lucas Numbers . . 315--318
              Brother U. Alfred   Exploring Generalized Fibonacci--Lucas
                                  Relations  . . . . . . . . . . . . . . . 319--320
                 John H. Halton   A Note on Fibonacci Subsequences . . . . 321--322
                  A. P. Hillman   Elementary Problems and Solutions  . . . 323--329
                 Betty Naysmith   Op Art . . . . . . . . . . . . . . . . . 330
                      Anonymous   Volume Index . . . . . . . . . . . . . . 331


Fibonacci Quarterly
Volume 4, Number 1, February, 1966

               John C. Holladay   Some Convergent Recursive Sequences,
                                  Homeomorphic Identities, and Inductively
                                  Defined Complementary Sequences  . . . . 1--36
             Raymond E. Whitney   Extensions of Recurrence Relations . . . 37--42
                     L. Carlitz   Some Orthogonal Polynomials Related to
                                  Fibonacci Numbers  . . . . . . . . . . . 43--48
                J. C. Ahuja and   
                     S. W. Nash   A Note on Orthogonal Polynomials . . . . 49--55
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 56--58
                    H. W. Gould   A Fibonacci Crossword Puzzle . . . . . . 59--62
               Edgar I. Emerson   On the Integer Solution of the Equation
                                  $ 5 x^2 + 6 x + 1 = y^2 $ and Some
                                  Related Observations . . . . . . . . . . 63--69
                    R. S. Beard   Star Geometry  . . . . . . . . . . . . . 70--72
                 M. N. S. Swamy   Properties of the Polynomials Defined by
                                  Morgan--Voyce  . . . . . . . . . . . . . 73--81
                J. A. H. Hunter   Perfect Number ``Endings'' . . . . . . . 82
               Lenard Weinstein   A Divisibility Property of Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 83--84
        Enrico T. Federighi and   
                 Ronald G. Roll   A Letter to the Editor . . . . . . . . . 85--87
               Lenard Weinstein   Letter to the Editor . . . . . . . . . . 88
                Gerard R. Deily   A Logarithmic Formula for Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 89
                  A. P. Hillman   Elementary Problems and Solutions  . . . 90--96

Fibonacci Quarterly
Volume 4, Number 2, April, 1966

             F. D. Cashwell and   
                  C. J. Everett   Fibonacci Spaces . . . . . . . . . . . . 97--115
                   J. W. Layman   Relatively Prime Sequence Solutions of
                                  Non-linear Difference Equations  . . . . 116
                Donald E. Knuth   An Almost Linear Recurrence  . . . . . . 117--128
                     L. Carlitz   Some Determinants Containing Powers of
                                  Fibonacci Numbers  . . . . . . . . . . . 129--134
                      E. Lehmer   On the Quadratic Character of the
                                  Fibonacci Root . . . . . . . . . . . . . 135--138
                   C. C. Styles   On Evaluating Certain Coefficients . . . 139--147
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 148--149
                    H. W. Gould   A Fibonacci Crossword Puzzle . . . . . . 150
                    G. R. Deily   Terminal Digit Coincidences Between
                                  Fibonacci Numbers and Their Indices  . . 151--156
                        M. Berg   Phi, the Golden Ratio (to 4599 Decimal
                                  Places), and Fibonacci Numbers . . . . . 157--162
                    R. S. Beard   Powers of the Golden Section . . . . . . 163--167
                   W. W. Horner   Fibonacci and Euclid . . . . . . . . . . 168--169
                N. A. Draim and   
              Marjorie Bicknell   Sums of $n$-th Powers of Roots of a
                                  Given Quadratic Equation . . . . . . . . 170--178
                  D. A. Klarner   Determinants Involving $K$ th Powers
                                  from Second Order Sequences  . . . . . . 179--183
            F. S. Gillespie and   
                      W. R. Utz   A Generalized Langford Problem . . . . . 184--186
                   B. L. Foster   A Lower Bound for Maximum Zero-one
                                  Determinants . . . . . . . . . . . . . . 187--189
                  A. P. Hillman   Elementary Problems and Solutions  . . . 190--192

Fibonacci Quarterly
Volume 4, Number 3, October, 1966

                    J. A. Fridy   Gerneralized Bases for the Real Numbers  193--200
                      Anonymous   Announcement . . . . . . . . . . . . . . 201
                     W. Jentsch   On a Partial Difference Equation of L.
                                  Carlitz  . . . . . . . . . . . . . . . . 202--207
       Brother Alfred Brousseau   Book Review: \booktitleRecurring
                                  Sequences, by Dov Jarden . . . . . . . . 208
              Daniel C. Fielder   Enumeration of Partitions Subject to
                                  Limitations on Size of Members . . . . . 209--215
                      Anonymous   Announcement . . . . . . . . . . . . . . 216
                 John H. Halton   On the Divisibility Properties of
                                  Fibonacci Numbers  . . . . . . . . . . . 217--240
               V. C. Harris and   
              Carolyn C. Styles   Generalized Fibonacci Sequences
                                  Associated with a Generalized Pascal
                                  Triangle . . . . . . . . . . . . . . . . 241--248
               John C. Holladay   Corrigendum for ``Some Convergent
                                  Recursive Sequences, Homomorphic
                                  Identities, and Inductively Defined
                                  Complementary Sequences''  . . . . . . . 249--250
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 251--258
            Curtis McKnight and   
                    Dean Priest   A Singular Fibonacci Matrix and its
                                  Related Lambda Function  . . . . . . . . 259--261
              Brother U. Alfred   Exploring Special Fibonacci Relations    262--263
              Brother U. Alfred   \booktitleAlgebra Through Problem
                                  Solving --- Book Review  . . . . . . . . 264
            Mordecai Avriel and   
              Douglass J. Wilde   Optimality Proof for the Symmetric
                                  Fibonacci Search Technique . . . . . . . 265--269
              David E. Ferguson   An Expression for Generalized Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 270--272
                J. A. H. Hunter   Fibonacci Again  . . . . . . . . . . . . 273
         V. E. Hoggatt, Jr. and   
                     D. A. Lind   A Power Identity for Second-order
                                  Recurrent Sequences  . . . . . . . . . . 274--284
                  A. P. Hillman   Elementary Problems and Solutions  . . . 285--288

Fibonacci Quarterly
Volume 4, Number 4, December, 1966

               David A. Klarner   Representation of $N$ as a Sum of
                                  Distinct Elements from Special Sequences 289--306
           Eugene E. Kohlbecker   On a Generalization of Multinomial
                                  Coefficients for Fibonacci Sequences . . 307--312
            Robert P. Backstrom   On the Determination of the Zeros of the
                                  Fibonacci Sequence . . . . . . . . . . . 313--322
                     L. Carlitz   Some Binomial Coefficient Identities . . 323--331
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 332--338
                  M. Dunton and   
                    R. E. Grimm   Fibonacci on Egyptian Fractions  . . . . 339--353
                Donald E. Knuth   Correction: ``An almost linear
                                  recurrence'' . . . . . . . . . . . . . . 354--354
                   John Wessner   Binomial Sums of Fibonacci Powers  . . . 355--358
                   Joseph Arkin   A Note on a Theorem of Jacobi  . . . . . 359--362
             Raymond E. Whitney   Composition of Recursive Formulae  . . . 363--366
                   R. L. Duncan   Note on the Euclidean Algorithm  . . . . 367--368
                 M. N. S. Swamy   More Fibonacci Identities  . . . . . . . 369--372
                  A. P. Hillman   Elementary Problems and Solutions  . . . 373--378
                      Anonymous   Volume Index . . . . . . . . . . . . . . 379


Fibonacci Quarterly
Volume 5, Number 1, February, 1967

                  David Zeitlin   On Summation Formulas and Identities for
                                  Fibonacci Numbers  . . . . . . . . . . . 1--43
                     D. A. Lind   The $Q$ Matrix as a Counterexample in
                                  Group Theory . . . . . . . . . . . . . . 44
              George Ledin, Jr.   On a Certain Kind of Fibonacci Sums  . . 45--58
          C. A. Church, Jr. and   
                    H. W. Gould   Lattice Point Solution of the
                                  Generalized Problem of Terquem and an
                                  Extension of Fibonacci Numbers . . . . . 59--68
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 69--80
         Douglas R. Stocks, Jr.   Relations Involving Lattice Paths and
                                  Certain Sequences of Integers  . . . . . 81--86
                Dewey C. Duncan   Chains of Equivalent Fibonacci-Wise
                                  Triangle . . . . . . . . . . . . . . . . 87--88
                     D. A. Lind   Iterated Fibonacci and Lucas Subscripts  89--90
       Brother Alfred Brousseau   Summation of $ \sum_{k = 1}^n k^m F_{k +
                                  r} $ Finite Difference Approach  . . . . 91--98
                   G. F. Feeman   On Ratios of Fibonacci and Lucas Numbers 99--106
                  A. P. Hillman   Elementary Problems and Solutions  . . . 107--112

Fibonacci Quarterly
Volume 5, Number 2, April, 1967

                 C. T. Long and   
                   J. H. Jordan   A Limited Arithmetic on Simple Continued
                                  Fractions  . . . . . . . . . . . . . . . 113--128
                   Gary G. Ford   Recurrence Relations for Sequences like
                                  $ F_{F_n} $  . . . . . . . . . . . . . . 129--136
                   R. L. Duncan   An Application of Uniform Distributions
                                  to the Fibonacci Numbers . . . . . . . . 137--140
         V. E. Hoggatt, Jr. and   
                     D. A. Lind   The Heights of Fibonacci Polynomials and
                                  an Associated Function . . . . . . . . . 141--152
               J. L. Brown, Jr.   On Lamé's Theorem . . . . . . . . . . . . 153--160
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 161
                      Anonymous   Corrections  . . . . . . . . . . . . . . 162--168
       Brother Alfred Brousseau   Editorial  . . . . . . . . . . . . . . . 169--170
       Brother Alfred Brousseau   A Fibonacci Generalization . . . . . . . 171--174
                  Robert Pruitt   Fibonacci and Lucas Numbers in the
                                  Sequence of Golden Numbers . . . . . . . 175--178
                   John D. Neff   A Markov Limit Process Involving
                                  Fibonacci Numbers  . . . . . . . . . . . 179--182
                     D. A. Lind   Extended Computations of Terminal Digit
                                  Coincidences . . . . . . . . . . . . . . 183--184
                  H. B. Henning   Pythagorean Triangles and Related
                                  Concepts . . . . . . . . . . . . . . . . 185--192
                   J. Wlodarski   Achieving the ``Golden Ratio'' by
                                  Grouping the ``Elementary'' Principle    193--194
                Kathleen Weland   Some Rabbit Production Results Involving
                                  Fibonacci Numbers  . . . . . . . . . . . 195--200
                  A. P. Hillman   Elementary Problems and Solutions  . . . 201--207
       Brother Alfred Brousseau   1967 as the Sum of Squares . . . . . . . 208

Fibonacci Quarterly
Volume 5, Number 3, October, 1967

       Marcellus E. Waddill and   
                    Louis Sacks   Another Generalized Fibonacci Sequence   209--222
                  S. G. Mohanty   Restricted Compositions  . . . . . . . . 223--234
                  D. P. Roselle   Enumeration of Certain Triangular Arrays 235--246
                    H. W. Gould   Note on a Combinatorial Identity in the
                                  Theory of Bi-Colored Graphs  . . . . . . 247--250
         Verner E. Hoggatt, Jr.   Advanced Problems and Solutions  . . . . 251--258
                    Ivan Flores   Direct Calculation of $k$-Generalized
                                  Fibonacci Numbers  . . . . . . . . . . . 259--266
                N. A. Draim and   
              Marjorie Bicknell   Equations Whose Roots as the $n$ th
                                  Powers of the Roots of a Given Cubic
                                  Equation . . . . . . . . . . . . . . . . 267--274
               Joseph Mandelson   Amateur Interests in the Fibonacci
                                  Series II. Calculation of Fibonacci
                                  Numbers and Sums from the Binomial . . . 275--279
                     Dov Jarden   Existence of Arbitrarily Long Sequences
                                  of Consecutive Members in Arithmetic
                                  Progressions Divisible by Arbitrarily
                                  Many Different Primes  . . . . . . . . . 280
             Raymond E. Whitney   A Property of Linear Recursion Relations 281--285
                        Dov and   
                   Moshe Jarden   Simultaneous Prime and Composite Members
                                  in Two Arithmetic Progressions . . . . . 286
                  A. P. Hillman   Elementary Problems and Solutions  . . . 287--293
                 R. S. Bucknell   Fibonacci Numbers and Some Prime
                                  Reciprocals  . . . . . . . . . . . . . . 294--297
                Laurence Taylor   Residues of Fibonacci-Like Sequences . . 298--304

Fibonacci Quarterly
Volume 5, Number 4, December, 1967

                John H. E. Cohn   On $m$-tic Residues Modulo $n$ . . . . . 305--318
              Daniel C. Fielder   Certain Lucas-Like Sequences and Their
                                  Generation by Partitions of Numbers  . . 319--324
              Daniel C. Fielder   Remarks on Two Related Sequences of
                                  Numbers  . . . . . . . . . . . . . . . . 325--327
       Brother Alfred Brousseau   \booktitleRecurring Sequences (Review of
                                  Book by Dov Jarden)  . . . . . . . . . . 328
               D. E. Daykin and   
                A. J. W. Hilton   Bases for Infinite Intervals of Integers 329--345
                     Dov Jarden   A New Important Formula for Lucas
                                  Numbers  . . . . . . . . . . . . . . . . 346
                 John H. Halton   Some Properties Associated with Square
                                  Fibonacci Numbers  . . . . . . . . . . . 347--354
               Charles W. Trigg   Picking away at 1967 . . . . . . . . . . 355
                    Robert Fray   A Generating Function Associated with
                                  the Generalized Stirling Numbers . . . . 356--366
               D. E. Daykin and   
                L. A. G. Dresel   Identities for Products of Fibonacci and
                                  Lucas Numbers  . . . . . . . . . . . . . 367--369
               Charles W. Trigg   A Letter to the Editors  . . . . . . . . 370
                 Merritt Elmore   Fibonacci Functions  . . . . . . . . . . 371--382
             V. E. Hoggatt, Jr.   Fibonacci Numbers and Generalized
                                  Binomial Coefficients  . . . . . . . . . 383--400

Fibonacci Quarterly
Volume 5, Number 5, December, 1967

                    H. W. Gould   The Bracket Function, $q$-Binomial
                                  Coefficients, and some New Stirling
                                  Number Formulas  . . . . . . . . . . . . 401--423
                  A. F. Horadam   Special Properties of the Sequence $
                                  W_n(a, b; p, q) $  . . . . . . . . . . . 424--434
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 435--443
       Brother Alfred Brousseau   Recreation Corner --- Population
                                  Explosion  . . . . . . . . . . . . . . . 444
         V. E. Hoggatt, Jr. and   
                     D. A. Lind   A Primer for the Fibonacci Numbers: Part
                                  VI . . . . . . . . . . . . . . . . . . . 445--460
                   Gary G. Ford   A Shift Formula for Recurrence Relations
                                  of Order $m$ . . . . . . . . . . . . . . 461--465
                  A. P. Hillman   Elementary Problems and Solutions  . . . 466--471
               Charles W. Trigg   Getting Primed for 1967  . . . . . . . . 472--473
               Charles W. Trigg   Curiosa in 1967  . . . . . . . . . . . . 474--476
               Charles W. Trigg   A Digital Bracelet for 1967  . . . . . . 477--480
              Richard L. Heimer   A General Fibonacci Function . . . . . . 481--483
                J. A. H. Hunter   A Result for Heronian Triangles  . . . . 484--485
                  Mark Feinberg   A Lucas Triangle . . . . . . . . . . . . 486--490
                      Anonymous   Volume Index . . . . . . . . . . . . . . 491


Fibonacci Quarterly
Volume 6, Number 1, February, 1968

              Francis D. Parker   A Fibonacci Function . . . . . . . . . . 1--2
                   Gene B. Gale   Factorization of $ 2 \times 2 $ Integral
                                  Matrices With Determinant $ \pm 1 $  . . 3--20
                      Anonymous   Errata . . . . . . . . . . . . . . . . . 21
                  S. G. Mohanty   On a Partition of Generalized Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 22--33
               J. L. Brown, Jr.   A Combinatorial Problem Involving
                                  Fibonacci Numbers  . . . . . . . . . . . 34--35
                 David A. Smith   Circularly Generated Abelian Groups  . . 36--45
                Charles H. King   Conjugate Generalized Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 46--49
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 50--57
       Brother Alfred Brousseau   Recreation Corner --- Solution to
                                  Population Explosion . . . . . . . . . . 58--59
              Joseph S. Madachy   Recreational Mathematics . . . . . . . . 60--68
       Brother Alfred Brousseau   On the Trail of the California Pine  . . 69--76
               Herta T. Freitag   A Magic Square Involving Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 77--80
       Brother Alfred Brousseau   A Sequence of Power Formulas . . . . . . 81--83
       Brother Alfred Brousseau   Book Review: \booktitle536 Puzzles and
                                  Curious Problems . . . . . . . . . . . . 84
               Col. R. S. Beard   The Fibonacci Drawing Board --- Design
                                  of the Great Pyramid of Gizeh  . . . . . 85--87
                    Howard Eves   Book Review: \booktitleMathematical
                                  Quickies . . . . . . . . . . . . . . . . 88
                  A. P. Hillman   Elementary Problems and Solutions  . . . 89--95
                     Dov Jarden   Formulas for Decomposing $ F_{3n} / F_n
                                  $, $ F_{5n} / F_n $ and $ L_{5n} / L_n $
                                  into a Sum of Difference of Two Squares  96

Fibonacci Quarterly
Volume 6, Number 2, April, 1968

                 Jeremy C. Pond   Generalized Fibonacci Summations . . . . 97--108
                  L. R. Shenton   Periodicity and Density of Modified
                                  Fibonacci Sequences  . . . . . . . . . . 109--116
                   T. W. Cusick   On a Certain Integer Associated with a
                                  Generalized Fibonacci Sequence . . . . . 117--126
                   Selmo Tauber   On $Q$-Fibonacci Polynomials . . . . . . 127--134
                  Eugene Levine   On the Generalized Langford Problem  . . 135--137
                    Allan Scott   Fibonacci Illustration of L'Hôpital's
                                  Rule . . . . . . . . . . . . . . . . . . 138
                     A. P. Shah   Fibonacci Sequence Modulo $m$  . . . . . 139--141
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 142--150
                 Henry Winthrop   Mathematical Models for the Study of the
                                  Propagation of Novel Social Behavior . . 151--155
                   J. Wlodarski   Curious Property of One Fraction . . . . 156
              Stephen R. Cavior   A Theorem on Power Sums  . . . . . . . . 157--160
                   J. Wlodarski   A Number Problem . . . . . . . . . . . . 161
              Joseph S. Madachy   Recreational Mathematics . . . . . . . . 162--166
                 M. N. S. Swamy   Further Properties of Morgan--Voyce
                                  Polynomials  . . . . . . . . . . . . . . 167--175
                    Allan Scott   Scott's Fibonacci Scrapbook  . . . . . . 176
                Thomas M. Green   Linear Diophantine Equations with
                                  Non-Negative Parameters and Solutions    177--184
                  A. P. Hillman   Elementary Problems and Solutions  . . . 185--191
                   J. Wlodarski   Pascal's Triangle and Some Famous Number
                                  Sequences  . . . . . . . . . . . . . . . 192

Fibonacci Quarterly
Volume 6, Number 3, June, 1968

                 Leon Bernstein   The Linear Diophantine Equation in $n$
                                  Variables and Its Application to
                                  Generalized Fibonacci Numbers  . . . . . 1--63
              Daniel C. Fielder   Special Integer Sequences Controlled by
                                  Three Parameters . . . . . . . . . . . . 64--69
                      Anonymous   Errata . . . . . . . . . . . . . . . . . 70
                     L. Carlitz   Bernoulli Numbers  . . . . . . . . . . . 71--84
         Verner E. Hoggatt, Jr.   Belated Acknowledgement  . . . . . . . . 85
                     D. A. Lind   The Quadratic Field $ Q(\sqrt {5}) $ and
                                  a Certain Diophantine Equation . . . . . 86--93
               T. W. Forget and   
                   T. A. Larkin   Pythagorean Triads of the Form $ X, X +
                                  1, Z $ Described by Recurrence Sequences 94--104
             V. E. Hoggatt, Jr.   Generalized Rabbits for Generalized
                                  Fibonacci Numbers  . . . . . . . . . . . 105--192

Fibonacci Quarterly
Volume 6, Number 4, October, 1968

                     L. Carlitz   Fibonacci Representations  . . . . . . . 193--220
             V. E. Hoggatt, Jr.   A New Angle on Pascal's Triangle . . . . 221--234
               David A. Klarner   Partitions of $N$ into Distinct
                                  Fibonacci Numbers  . . . . . . . . . . . 235--243
                   J. Wlodarski   More about the ``Golden Ratio'' in the
                                  World of Atoms . . . . . . . . . . . . . 244
                  Alan M. Scott   Continuous Extensions of Fibonacci
                                  Identities . . . . . . . . . . . . . . . 245--249
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 250--260
              George Ledin, Jr.   Is Eratosthenes out? . . . . . . . . . . 261--265
                  James C. Curl   Fibonacci Numbers and the Slow Learner   266--274
               Joseph Mandelson   Amateur Interests in the Fibonacci
                                  Series III. Residues of $ u_n $ with
                                  Respect to Any Modules . . . . . . . . . 275--278
       Brother Alfred Brousseau   Recurring Sequences --- Lesson 1 . . . . 279--285
             Robert W. Prielipp   Even Perfect Numbers and Seven . . . . . 286--287
                  A. P. Hillman   Elementary Problems and Solutions  . . . 288--298
              Joseph S. Madachy   Recreational Mathematics . . . . . . . . 299

Fibonacci Quarterly
Volume 6, Number 5, November, 1968

              Daniel C. Fielder   Generation of Stirling Numbers by Means
                                  of Special Partitions of Numbers . . . . 1--9
                   Gene B. Gale   Errata for ``Factorization of $ 2 \times
                                  2 $ Integral Matrices with Determinant $
                                  \pm 1 $''  . . . . . . . . . . . . . . . 10
                   Donna B. May   On a Characterization of the Fibonacci
                                  Sequence . . . . . . . . . . . . . . . . 11--14
     Charles J. A. Halberg, Jr.   The Generalized Fibonacci Operator . . . 15--33
              Marjorie Bicknell   A Curious Property of a Second Fraction  34
                J. W. Gootherts   Linear Algebra Constructed from
                                  Fibonacci Sequences Part I: Fundamentals
                                  and Polynomial Interpretations . . . . . 35--42
              Marjorie Bicknell   Romance in Mathematics . . . . . . . . . 43
                J. W. Gootherts   Linear Algebra Constructed from
                                  Fibonacci Sequences. Part II: Function
                                  Sequences and Taylor Series of Function
                                  Sequences  . . . . . . . . . . . . . . . 44--54
         V. E. Hoggatt, Jr. and   
                     D. A. Lind   Symbolic Substitutions into Fibonacci
                                  Polynomials  . . . . . . . . . . . . . . 55--74
                  Eugene Levine   Fibonacci Sequences with Identical
                                  Characteristic Values  . . . . . . . . . 75--80
               C. A. Holben and   
                   J. H. Jordan   The Twin Prime Problem and Goldbach's
                                  Conjecture in the Gaussian Integers  . . 81--85
              Murray S. Klamkin   On the Linear Difference Equation whose
                                  Solutions are the Products of Solutions
                                  of Two Given Linear Difference Equations 86--92
                   Selmo Tauber   Lah Numbers for Fibonacci and Lucas
                                  Polynomials  . . . . . . . . . . . . . . 93--99
                   Selmo Tauber   Lah Numbers for $R$-Polynomials  . . . . 100--107
                  Eugene Levine   The Existence of Perfect $3$-Sequences   108--304

Fibonacci Quarterly
Volume 6, Number 6, December, 1968

                    H. H. Ferns   Pseudo-Fibonacci Numbers . . . . . . . . 305--317
                    H. W. Gould   Note on a Paper of Paul F. Byrd, and a
                                  Solution of Problem P-3  . . . . . . . . 318--321
                        Dov and   
                   Moshe Jarden   On the Existence of an Infinitude of
                                  Composite Primitive Divisors of
                                  Second-Order Recurring Sequences . . . . 322--334
               D. E. Daykin and   
                A. J. W. Hilton   Bases for Intervals of Real Numbers  . . 335--349
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 350--359
                   Irving Adler   Three Diophantine Equations --- Part I   360--369
             Donald A. Preziosi   Harmonic Design in Minoan Architecture   370--384
              Joseph S. Madachy   Recreational Mathematics . . . . . . . . 385--389
     Verner E. Hoggatt, Jr. and   
                   Free Jamison   Dissection of a Square into $n$ Acute
                                  Isosceles Triangles  . . . . . . . . . . 390--392
       Brother Alfred Brousseau   Linear Recursion Relations, Lesson Two   393--399
                  A. P. Hillman   Elementary Problems and Solutions  . . . 400--406
                     Dov Jarden   Any Lucas Number $ L_{5p} $, for any
                                  Prime $ p > 5 $, Has at Least Two
                                  Distinct Primitive Prime Divisors  . . . 407
                      Anonymous   Volume Index . . . . . . . . . . . . . . 408


Fibonacci Quarterly
Volume 7, Number 1, February, 1969

                    H. H. Ferns   Products of Fibonacci and Lucas Numbers  1--12
                      Anonymous   Errata . . . . . . . . . . . . . . . . . 13
                  A. F. Horadam   Tschebyscheff and Other Functions
                                  Associated with the Sequence $ \{ w_n(a,
                                  b; p, q) \} $  . . . . . . . . . . . . . 14--22
                    H. W. Gould   The Bracket Function and Fontené--Ward
                                  Generalized Binomial Coefficients with
                                  Application to Fibonomial Coefficients   23--40
                   Joseph Arkin   Convergence of the Coefficients in a
                                  Recurring Power Series . . . . . . . . . 41--55
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 56--65
           Muthulakshmi R. Iyer   Identities Involving Generalized
                                  Fibonacci Numbers  . . . . . . . . . . . 66--72
          Marjorie Bicknell and   
         Verner E. Hoggatt, Jr.   Golden Triangles, Rectangles, and
                                  Cuboids  . . . . . . . . . . . . . . . . 73--91
           Muthulakshmi R. Iyer   Sums Involving Fibonacci Numbers . . . . 92--98
       Brother Alfred Brousseau   Linear Recursion Relations Lesson Three
                                  --- The Binet Formulas . . . . . . . . . 99--104
       Brother Alfred Brousseau   Book Reviews: \booktitleFibonacci and
                                  Lucas numbers, by Verner E. Hoggatt,
                                  Jr., and \booktitleInvitation to number
                                  theory, by Òystein Òre . . . . . . . . . . 105--106
                  A. P. Hillman   Elementary Problems and Solutions  . . . 107--112

Fibonacci Quarterly
Volume 7, Number 2, April, 1969

              George E. Andrews   Some Formulae for the Fibonacci Sequence
                                  with Generalizations . . . . . . . . . . 113--130
           Monte B. Boisen, Jr.   Overlays of Pascal's Triangle  . . . . . 131--139
                   R. L. Duncan   On the Density of the $k$-Free Integers  140--142
       Brother Alfred Brousseau   Summation of Infinite Fibonacci Series   143--168
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 169--179
                    Edgar Karst   A Four-Step Iteration Algorithm to
                                  Generate $ x^2 $ in $ x^2 + (x + 1)^2 =
                                  y^2 $  . . . . . . . . . . . . . . . . . 180
                   Irving Adler   Three Diophantine Equations --- Part II  181--193
       Brother Alfred Brousseau   Linear Recursion Relations --- Lesson
                                  Four Second-Order Linear Recursion
                                  Relations  . . . . . . . . . . . . . . . 194--200
           Muthulakshmi R. Iyer   Some Results on Fibonacci Quaternions    201--210
       Brother Alfred Brousseau   Fibonacci--Lucas Infinite Series
                                  Research Topic . . . . . . . . . . . . . 211--217
                  A. P. Hillman   Elementary Problems and Solutions  . . . 218--224

Fibonacci Quarterly
Volume 7, Number 3, October, 1969

           Muthulakshmi R. Iyer   A Note on Fibonacci Quaternions  . . . . 225--229
                   Emanuel Vegh   Remark on a Theorem by Waksman . . . . . 230
               Edgar I. Emerson   Recurrent Sequences in the Equation $ D
                                  Q^2 = R^2 + N $  . . . . . . . . . . . . 231--242
               J. L. Brown, Jr.   Unique Representations of Integers as
                                  Sums of Distinct Lucas Numbers . . . . . 243--251
                      Anonymous   Association Meeting  . . . . . . . . . . 252
         V. E. Hoggatt, Jr. and   
                     D. A. Lind   Compositions and Fibonacci Numbers . . . 253--266
                 P. Erd\Hos and   
                I. Kátai   On the Growth of $ d_k(n) $  . . . . . . 267--274
                    N. A. Draim   $ \pi $ in the Form of a Continued
                                  Fraction with Infinite Terms . . . . . . 275--276
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 277--283
                      Anonymous   Corrections  . . . . . . . . . . . . . . 284--286
               Charles W. Trigg   Associated Additive Decimal Digital
                                  Bracelets  . . . . . . . . . . . . . . . 287--294
       Brother Alfred Brousseau   Linear Recursion Relations --- Lesson
                                  Five Recursion Relations of Higher Order 295--300
              Marjorie Bicknell   A Note on Fibonacci Numbers in High
                                  School Algebra . . . . . . . . . . . . . 301--302
                      John Ivie   Multiple Fibonacci Sums  . . . . . . . . 303--309
                  Olov Alvfeldt   A Brain Teaser Related to Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 310--314
              Joseph S. Madachy   Recreational Mathematics ---
                                  ``Difference Series'' Resulting from
                                  Sieving Primes . . . . . . . . . . . . . 315--318
                  D. V. Jaiswal   On Determinants Involving Generalized
                                  Fibonacci Numbers  . . . . . . . . . . . 319--330
                  A. P. Hillman   Elementary Problems and Solutions  . . . 331--336

Fibonacci Quarterly
Volume 7, Number 4, November, 1969

                   Dale D. Shea   On the Number of Divisions Needed in
                                  Finding the Greatest Common Divisor  . . 337--340
         V. E. Hoggatt, Jr. and   
              Marjorie Bicknell   Diagonal Sums of Generalized Pascal
                                  Triangles  . . . . . . . . . . . . . . . 341--358
                     L. Carlitz   Generating Functions . . . . . . . . . . 359--393
             Leon Bernstein and   
                   Helmut Hasse   Explicit Determination of the Perron
                                  Matrices in Periodic Algorithms of the
                                  Perron--Jacobi Type with Application to
                                  Generalized Fibonacci Numbers with Time
                                  Impulses . . . . . . . . . . . . . . . . 394--436
         V. R. Rao Uppuluri and   
              John A. Carpenter   Numbers Generated by the Function $ \exp
                                  (1 - e^x) $  . . . . . . . . . . . . . . 437--448

Fibonacci Quarterly
Volume 7, Number 5, December, 1969

             Edward A. Parberry   A Recursion Relation for Populations of
                                  Diatoms  . . . . . . . . . . . . . . . . 449--456
                 W. A. Webb and   
                 E. A. Parberry   Divisibility Properties of Fibonacci
                                  Polynomials  . . . . . . . . . . . . . . 457--463
                   D. E. Daykin   On the Completeness of the Lucas
                                  Sequence . . . . . . . . . . . . . . . . 464
                     L. Kuipers   Remark on a Paper by R. L. Duncan
                                  Concerning the Uniform Distribution Mod
                                  $1$ of the Sequence of the Logarithms of
                                  the Fibonacci Numbers  . . . . . . . . . 465--466
                 L. Carlitz and   
                J. A. H. Hunter   Sums of Powers of Fibonacci and Lucas
                                  Numbers  . . . . . . . . . . . . . . . . 467--473
                   R. L. Duncan   Note on the Initial Digit Problem  . . . 474--475
               Hymie London and   
            Raphael Finkelstein   On Fibonacci and Lucas Numbers Which are
                                  Perfect Powers . . . . . . . . . . . . . 476--481
         V. E. Hoggatt, Jr. and   
                     D. A. Lind   The Dying Rabbit Problem . . . . . . . . 482--487
                    J. C. Ahuja   Orthogonal Expansion Derived from the
                                  Extreme Value Distribution . . . . . . . 488--493
                   D. E. Daykin   Representation of Natural Numbers as
                                  Sums of Generalized Fibonacci Numbers
                                  --- II . . . . . . . . . . . . . . . . . 494--510
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 511--522
                  H. E. Huntley   Fibonacci and the Atom . . . . . . . . . 523--524
       Brother Alfred Brousseau   Fibonacci Statistics in Conifers . . . . 525--532
       Brother Alfred Brousseau   Linear Recursion Relations --- Lesson
                                  Six Combining Linear Recursion Relations 533--537
                   Irving Adler   A Shorter Proof  . . . . . . . . . . . . 538
              Bruce W. King and   
              Francis D. Parker   A Fibonacci Matrix and the Permanent
                                  Function . . . . . . . . . . . . . . . . 539--544
                  A. P. Hillman   Elementary Problems and Solutions  . . . 545--551
                      Anonymous   Volume Index . . . . . . . . . . . . . . 552


Fibonacci Quarterly
Volume 8, Number 1, February, 1970

                 Sidney Kravitz   The Lucas--Lehmer Test for Mersenne
                                  Numbers  . . . . . . . . . . . . . . . . 1--3
               Joseph Arkin and   
                Richard Pollack   Recurrence Formulas  . . . . . . . . . . 4--5
                    W. C. Lynch   The $t$-Fibonacci Numbers and Polyphase
                                  Sorting  . . . . . . . . . . . . . . . . 6--22
               D. E. Daykin and   
                L. A. G. Dresel   Factorization of Fibonacci Numbers . . . 23--30
                    Hyman Gabai   Generalized Fibonacci $k$-Sequences  . . 31--38
            R. J. Weinshenk and   
             V. E. Hoggatt, Jr.   On Solving $ C_{n + 2} = C_{n + 1} + C_n
                                  + n^m $ by Expansions and Operators  . . 39--48
             Edward A. Parberry   On Primes and Pseudo-Primes Related to
                                  the Fibonacci Sequence . . . . . . . . . 49--60
                 L. Carlitz and   
                    H. H. Ferns   Some Fibonacci and Lucas Identities  . . 61--73
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 74--82
               Rodney T. Hansen   Arithmetic of Pentagonal Numbers . . . . 83--86
                      Anonymous   Corrections  . . . . . . . . . . . . . . 87
                      Anonymous   Letters to the Editor  . . . . . . . . . 88--89
               Jean H. Anderson   Spirals, Checkerboards, Polyominoes, and
                                  the Fibonacci Sequence . . . . . . . . . 90--95
       Brother Alfred Brousseau   Linear Recursion Relations --- Lesson
                                  Seven Analyzing Linear Recursion
                                  Relations  . . . . . . . . . . . . . . . 96--101
                   V. C. Harris   An Algorithm for Finding the Greatest
                                  Common Divisor . . . . . . . . . . . . . 102--103
                   V. C. Harris   Note on the Number of Divisions Required
                                  in Finding the Greatest Common Divisor   104
                  A. P. Hillman   Elementary Problems and Solutions  . . . 105--112

Fibonacci Quarterly
Volume 8, Number 2, March, 1970

                     L. Carlitz   Fibonacci Representations --- II . . . . 113--134
                 C. T. Long and   
                   J. H. Jordan   A Limited Arithmetic on Simple Continued
                                  Fractions --- II . . . . . . . . . . . . 135--157
         Verner E. Hoggatt, Jr.   Convolution Triangles for Generalized
                                  Fibonacci Numbers  . . . . . . . . . . . 158--171
            Rosedith Sitgreaves   Some Properties of Stirling Numbers of
                                  the Second Kind  . . . . . . . . . . . . 172--181
                  D. J. DeCarli   A Generalized Fibonacci Sequence over an
                                  Arbitrary Ring . . . . . . . . . . . . . 182--184
                  S. K. Zaremba   A Remarkable Lattice Generated by
                                  Fibonacci Numbers  . . . . . . . . . . . 185--198
               Joseph Arkin and   
         Verner E. Hoggatt, Jr.   An Extension of Fibonacci Numbers --- II 199--216
             Gottfried Bruckner   Fibonacci Sequence Modulo a Prime $ p
                                  \equiv 3 \pmod {4} $ . . . . . . . . . . 217--220
                N. A. Draim and   
              Marjorie Bicknell   Summation of Powers of Roots of Special
                                  Equations  . . . . . . . . . . . . . . . 221--224

Fibonacci Quarterly
Volume 8, Number 3, April, 1970

               Allen J. Schwenk   Take-Away Games  . . . . . . . . . . . . 225--234
              C. A. Church, Jr.   On the Enumeration of Certain Triangular
                                  Arrays . . . . . . . . . . . . . . . . . 235--241
               Nannette Cox and   
           John W. Phillips and   
             V. E. Hoggatt, Jr.   Some Universal Counterexamples . . . . . 242--247
                      Anonymous   Corrections  . . . . . . . . . . . . . . 248
                     L. Carlitz   Some Generalized Fibonacci Identities    249--254
                      H. P. Yap   A Simple Recurrence Relation on Finite
                                  Abelian Groups . . . . . . . . . . . . . 255--263
               David Singmaster   Some Counterexamples and Problems on
                                  Linear Recurrence Relations  . . . . . . 264--267
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 268--279
       Brother Alfred Brousseau   Book Review: \booktitleLeonard of Pisa
                                  and the new mathematics of the Middle
                                  Ages, by Joseph Gies and Frances Gies    280
            Richard E. M. Moore   Mosaic Units: Pattern Sizes in Ancient
                                  Mosaics  . . . . . . . . . . . . . . . . 281--310
       Brother Alfred Brousseau   Linear Recursion Relations --- Lesson
                                  Eight Asymptotic Ratios in Recursion
                                  Relations  . . . . . . . . . . . . . . . 311--316
                    Edgar Karst   Magic Squares Consisting of Primes in A.
                                  P. . . . . . . . . . . . . . . . . . . . 317--324
                  A. P. Hillman   Elementary Problems and Solutions  . . . 325--334
                Dorothy Fifield   Ups and Downs  . . . . . . . . . . . . . 335
                      Anonymous   Association Meeting  . . . . . . . . . . 336

Fibonacci Quarterly
Volume 8, Number 4, October, 1970

           D. Suryanarayana and   
               Peter Hagis, Jr.   A Theorem Concerning Odd Perfect Numbers 337--346
                   D. E. Daykin   An Addition Algorithm for Greatest
                                  Common Divisor . . . . . . . . . . . . . 347--349
                  David Zeitlin   On Determinant Whose Elements are
                                  Products of Recursive Sequences  . . . . 350--359
         Verner E. Hoggatt, Jr.   An Application of the Lucas Triangle . . 360--364
                Eugene A. Maier   One-One Correspondences Between the Set
                                  $N$ of Positive Integers and the Sets $
                                  N^n $ and $ \cup_{n \in N} N^n $ . . . . 365--370
             Brother L. Raphael   Some Results in Trigonometry . . . . . . 371
                 R. G. Buschman   The ``Difference Series'' of Madachy . . 372--374
           Kenneth B. Stolarsky   Infinitely Many Generalizations of
                                  Abel's Partial Summation Identity  . . . 375--379
                       K. U. Lu   The Smallest Number with Divisors a
                                  Product of Distinct Primes . . . . . . . 380--382
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 383--392
           Janet Waterman Glaze   Angle Multisection by Parallel
                                  Straightedges (Recreational Mathematics
                                  Edited by Joseph S. Madachy) . . . . . . 393--396
               W. R. Spickerman   A Note on Fibonacci Functions  . . . . . 397--401
                  Ernst M. Cohn   Complete Diophantine Solution of the
                                  Pythagorean Triple . . . . . . . . . . . 402--405
                J. A. H. Hunter   Fibonacci to the Rescue  . . . . . . . . 406
              Marjorie Bicknell   A Primer for the Fibonacci Numbers ---
                                  Part VII . . . . . . . . . . . . . . . . 407--420
                   Joseph Arkin   An Extension of a Theorem of Euler . . . 421--427
                     B. A. Read   Fibonacci Series in the Solar System . . 428--438
       Brother Alfred Brousseau   A Lucas Analogue . . . . . . . . . . . . 439--442
                  A. P. Hillman   Elementary Problems and Solutions  . . . 443--448

Fibonacci Quarterly
Volume 8, Number 5, December, 1970

                     D. A. Lind   A Fibonacci Circulant  . . . . . . . . . 449--455
         Verner E. Hoggatt, Jr.   Combinatorial Problems for Generalized
                                  Fibonacci Numbers  . . . . . . . . . . . 456--462
        Raphael Finkelstein and   
                Edgar Karst and   
                   Hymie London   Application of Recursive Sequences to
                                  Diophantine Equations  . . . . . . . . . 463--469
             Raymond E. Whitney   On a Class of Difference Equations . . . 470--474
              David G. Beverage   On a Conjecture of Dmitri Thoro  . . . . 475
             Morris Jack DeLeon   The Fibonacci Numbers Considered as a
                                  Pisot Sequence . . . . . . . . . . . . . 476--480
                      Anonymous   Fall's Research Conference . . . . . . . 481
           J. L. Brown, Jr. and   
                   R. L. Duncan   Modulo One Uniform Distribution of the
                                  Sequence of Logarithms of Certain
                                  Recursive Sequences  . . . . . . . . . . 482--486
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 487--497
              David G. Beverage   Letter to the Editor . . . . . . . . . . 498
                John H. Carlson   Determination of Heronian Triangles  . . 499--506
            Philip B. Onderdonk   Pineapples and Fibonacci Numbers . . . . 507--508
            J. M. Williams, Jr.   The Powers of Three  . . . . . . . . . . 509--515
                Joe R. Crenshaw   Some Remarks on the Ordering of General
                                  Fibonacci Sequences  . . . . . . . . . . 516--521
                  John B. Lewis   The Educational Value in Mathematics . . 522--529
                      Anonymous   Errata . . . . . . . . . . . . . . . . . 530
                   Joseph Arkin   Certain Arithmetical Properties of $ 0.5
                                  k (a k + 1) $  . . . . . . . . . . . . . 531--537
              Edward T. Frankel   Fibonacci Numbers as Paths of Rooks on a
                                  Chessboard . . . . . . . . . . . . . . . 538--541
                  A. P. Hillman   Elementary Problems and Solutions  . . . 542--551
                      Anonymous   Volume Index . . . . . . . . . . . . . . 552


Fibonacci Quarterly
Volume 9, Number 1, February, 1971

         V. E. Hoggatt, Jr. and   
           John W. Phillips and   
             H. T. Leonard, Jr.   Twenty-Four Master Identities  . . . . . 1--17
             W. A. Al-Salam and   
                       A. Verma   Fibonacci Numbers and Eulerian
                                  Polynomials  . . . . . . . . . . . . . . 18--22
      Sister Christelle Theusch   Composition of $ \Phi_2 (x) $ Modulo $m$ 23--27
                     L. Carlitz   Some Summation Formulas  . . . . . . . . 28--33
                  David Zeitlin   Letter to the Editor . . . . . . . . . . 34
               James E. Desmond   On Iterative Fibonacci Subscripts  . . . 35--40
                Robert M. Giuli   Binet Forms by Laplace Transform . . . . 41--50
              A. P. Hillman and   
                 P. L. Mana and   
                   C. T. McAbee   A Symmetric Substitute for Stirling
                                  Numbers  . . . . . . . . . . . . . . . . 51--60
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 61--73
              Marjorie Bicknell   A Primer for Fibonacci Numbers: Part
                                  VIII . . . . . . . . . . . . . . . . . . 74--80
                      Anonymous   Errata . . . . . . . . . . . . . . . . . 81
                   J. Wlodarski   The Possible End of the Periodic Table
                                  of Elements and the ``Golden Ratio'' . . 82
                 Harlan Umansky   Pythagoras Revisited . . . . . . . . . . 83--86
                   J. Wlodarski   Fibonacci and Lucas Numbers Tend to Obey
                                  Benford's Law  . . . . . . . . . . . . . 87--88
           Underwood Dudley and   
                  Bessie Tucker   Greatest Common Divisors in Altered
                                  Fibonacci Sequences  . . . . . . . . . . 89--92
                     Phil Lafer   Discovering the Square-Triangular
                                  Numbers  . . . . . . . . . . . . . . . . 93--105
                  A. P. Hillman   Elementary Problems and Solutions  . . . 106--112

Fibonacci Quarterly
Volume 9, Number 2, April, 1971

                     D. A. Lind   A Determinant Involving Generalized
                                  Binomial Coefficients  . . . . . . . . . 113--119
         V. E. Hoggatt, Jr. and   
                 Walter Hansell   The Hidden Hexagon Squares . . . . . . . 120
         Verner E. Hoggatt, Jr.   Some Special Fibonacci and Lucas
                                  Generating Functions . . . . . . . . . . 121--133
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 134--145
                   J. Wlodarski   Regular Polyhedrons and Pascal's
                                  Triangle . . . . . . . . . . . . . . . . 146
                   Irving Adler   Sequences with a Characteristic Number   147--162
          Joseph P. Munzenrider   A New Anthesis . . . . . . . . . . . . . 163--176
                  Sal LaBarbera   Fibonacci, Lucas and the Egyptians . . . 177--187
                   J. Wlodarski   The Golden Ratio in an Electrical
                                  Network  . . . . . . . . . . . . . . . . 188
               Charles W. Trigg   Kaprekar's Routine with Two-Digit
                                  Integers . . . . . . . . . . . . . . . . 189--194
                   J. Wlodarski   A Number Problem . . . . . . . . . . . . 195
                    R. L. Bauer   Numbers that are Both Triangular and
                                  Square Their Triangular Roots and Square
                                  Roots  . . . . . . . . . . . . . . . . . 196--198
               Jean J. Pedersen   Asymptotic Euclidean Type Constructions
                                  without Euclidean Tools (Recreational
                                  Mathematics Edited by Joseph S. Madachy) 199--216
                  A. P. Hillman   Elementary Problems and Solutions  . . . 217--224

Fibonacci Quarterly
Volume 9, Number 3, May, 1971

                Morton Abramson   Combinations, Compositions and Occupancy
                                  Problems . . . . . . . . . . . . . . . . 225--236
                T. Antony Davis   Why Fibonacci Sequence for Palm Leaf
                                  Spirals? . . . . . . . . . . . . . . . . 237--244
                  A. F. Horadam   Pell Identities  . . . . . . . . . . . . 245--252
            T. Antony Davis and   
                     T. K. Bose   Fibonacci System in Aroids . . . . . . . 253--263
               J. E. Walton and   
                  A. F. Horadam   Some Properties of Certain Generalized
                                  Fibonacci Matrices . . . . . . . . . . . 264--276
        André Gougenheim   About the Linear Sequence of the
                                  Integers Such That Each Term is the Sum
                                  of the Two Preceding . . . . . . . . . . 277--295
                 Max Rumney and   
              E. J. F. Primrose   Relations Between a Sequence of
                                  Fibonacci Type and the Sequence of its
                                  Partial Sums . . . . . . . . . . . . . . 296--298
              A. G. Shannon and   
                  A. F. Horadam   Reciprocals of Generalized Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 299--306
              A. G. Shannon and   
                  A. F. Horadam   A Generalized Pythagorean Theorem  . . . 307--312
                     W. Jentsch   On an Initial-Value Problem for Linear
                                  Partial Difference Equations . . . . . . 313--323
                D. Mangeron and   
          M. N. Oguztorelli and   
                 V. E. Poterasu   On the Generation of Fibonacci Numbers
                                  and the ``Polyvibrating'' Extension of
                                  These Numbers  . . . . . . . . . . . . . 324--328
                  C. C. Cadogan   On Partly Ordered Partitions of a
                                  Positive Integer . . . . . . . . . . . . 329--336

Fibonacci Quarterly
Volume 9, Number 4, October, 1971

                    H. W. Gould   Equal Products of Generalized Binomial
                                  Coefficients . . . . . . . . . . . . . . 337--346
           J. L. Brown, Jr. and   
                   R. L. Duncan   The Least Remainder Algorithm  . . . . . 347--350
         V. E. Hoggatt, Jr. and   
             G. L. Alexanderson   A Property of Multinomial Coefficients   351--356
                  David Zeitlin   General Identities for Recurrent
                                  Sequences of Order Two . . . . . . . . . 357--388
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 389--401
                  Wray G. Brady   Additions to the Summation of Reciprocal
                                  Fibonacci and Lucas Series . . . . . . . 402--404
            Robert C. Good, Jr.   A Series Form for the Fibonacci Numbers
                                  $ F_{12n} $  . . . . . . . . . . . . . . 405--411
                      Anonymous   Program of the Eigth Anniversary Meeting 412
                   W. C. Barley   Triangles de Fibonacci . . . . . . . . . 413--422
               Edward L. Lowman   An Example of Fibonacci Numbers Used to
                                  Generate Rhythmic Values in Modern Music 423--426
       Brother Alfred Brousseau   Continued Fractions of Quadratic
                                  Fibonacci Ratios . . . . . . . . . . . . 427--436
             V. E. Hoggatt, Jr.   Some More Fibonacci Diophantine
                                  Equations  . . . . . . . . . . . . . . . 437
                  A. P. Hillman   Elementary Problems and Solutions  . . . 438--448

Fibonacci Quarterly
Volume 9, Number 5, December, 1971

                     L. Carlitz   Reduction Formulas for Fibonacci
                                  Summations . . . . . . . . . . . . . . . 449--466
                 M. Beresin and   
                  E. Levine and   
                      D. Lubell   On the Coefficients of a Generating
                                  Series . . . . . . . . . . . . . . . . . 467--476
               J. L. Brown, Jr.   On Generalized Bases for Real Numbers    477--496
                     S. A. Burr   On Moduli for which the Fibonacci
                                  Sequence Contains a Complete System of
                                  Residues . . . . . . . . . . . . . . . . 497--503
                      Anonymous   Ninth Annual Fall Conference of the
                                  Fibonacci Association  . . . . . . . . . 504
              C. A. Church, Jr.   Combinations and Their Duals . . . . . . 505--511
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 512--524
             John Brillhart and   
                    Emma Lehmer   Challenge  . . . . . . . . . . . . . . . 525
                Frederick Stern   The Sum of the First $n$ Positive
                                  Numbers --- Geometrically  . . . . . . . 526
               Edward A. Lowman   Some Striking Proportions in the Music
                                  of Bela Bartók  . . . . . . . . . . . . . 527--528
          Marjorie Bicknell and   
         Verner E. Hoggatt, Jr.   A Primer for the Fibonacci Numbers: Part
                                  IX . . . . . . . . . . . . . . . . . . . 529--537
              Marjorie Bicknell   A Fibonacci Crostic  . . . . . . . . . . 538--540
                 David Beverage   A Polynomial Representation of Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 541--544
                  A. P. Hillman   Elementary Problems and Solutions  . . . 545--551
                      Anonymous   Volume Index . . . . . . . . . . . . . . 552


Fibonacci Quarterly
Volume 10, Number 1, January, 1972

                 L. Carlitz and   
           Richard Scoville and   
             V. E. Hoggatt, Jr.   Fibonacci Representations  . . . . . . . 1--28
                 L. Carlitz and   
           Richard Scoville and   
             V. E. Hoggatt, Jr.   Lucas Representations  . . . . . . . . . 29--42
                 L. Carlitz and   
           Richard Scoville and   
             V. E. Hoggatt, Jr.   Fibonacci Representations of Higher
                                  Order  . . . . . . . . . . . . . . . . . 43--70
                 L. Carlitz and   
           Richard Scoville and   
             V. E. Hoggatt, Jr.   Fibonacci Representations of Higher
                                  Order --- II . . . . . . . . . . . . . . 71--80
         V. E. Hoggatt, Jr. and   
                 Brian Peterson   Some General Results on Representations  81--88
             V. E. Hoggatt, Jr.   Generalized Zeckendorf Theorem . . . . . 89--94
              Timothy J. Keller   Generalizations of Zeckendorf's Theorem  95--102
                Roger O'Connell   Representations of Integers as Sums of
                                  Fibonacci Squares  . . . . . . . . . . . 103--112

Fibonacci Quarterly
Volume 10, Number 2, February, 1972

             Christoph Witzgall   Fibonacci Search with Arbitrary First
                                  Evaluation . . . . . . . . . . . . . . . 113--134
              A. G. Shannon and   
                  A. F. Horadam   Some Properties of Third-Order
                                  Recurrence Relations . . . . . . . . . . 135--146
              Marjorie Bicknell   Determinants and Identities Involving
                                  Fibonacci Squares  . . . . . . . . . . . 147--156
                     L. Carlitz   A Generating Function for Partly Ordered
                                  Partitions . . . . . . . . . . . . . . . 157--162
                  Daniel Shanks   Fibonacci Primitive Roots  . . . . . . . 163--168
               Paul S. Bruckman   An Interesting Sequence of Numbers
                                  Derived From Various Generating
                                  Functions  . . . . . . . . . . . . . . . 169--181
       Brother Alfred Brousseau   Table of Indices with a Fibonacci
                                  Relation . . . . . . . . . . . . . . . . 182--184
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 185--196
       Brother Alfred Brousseau   Fibonacci Magic Cards  . . . . . . . . . 197
                      Anonymous   Corrections  . . . . . . . . . . . . . . 198
                  Wray G. Brady   The Lambert Function . . . . . . . . . . 199--200
                J. A. H. Hunter   Fibonacci Once Again . . . . . . . . . . 201--202
              Harlan L. Umansky   A Note on Pythagorean Triplets . . . . . 203--206
               Robert Anaya and   
                   Janice Crump   A Generalized Greatest Integer Function
                                  Theorem  . . . . . . . . . . . . . . . . 207--212
            J. A. H. Hunter and   
              Joseph S. Madachy   Back-to-Back: Some Interesting
                                  Relationships Between Representations of
                                  Integers In Various Bases  . . . . . . . 213--217
                  A. P. Hillman   Elementary Problems and Solutions  . . . 218--224

Fibonacci Quarterly
Volume 10, Number 3, April, 1972

                John C. Higgins   Subsemigroups of the Additive Positive
                                  Integers . . . . . . . . . . . . . . . . 225--230
                 C. C. Yalavigi   Properties of Tribonacci Numbers . . . . 231--246
       Brother Alfred Brousseau   Note on the Characteristic Number of a
                                  Sequence of Fibonacci Squares  . . . . . 247--248
                 P. Erd\Hos and   
                   R. L. Graham   On Sums of Fibonacci Numbers . . . . . . 249--254
                      John Ivie   A General $Q$-Matrix . . . . . . . . . . 255--261
            Leslie E. Blumenson   A Characterization of Fibonacci Numbers
                                  Suggested by a Problem in Cancer
                                  Research . . . . . . . . . . . . . . . . 262--264
                Robert M. Giuli   Linear Homogeneous Difference Equations  265--270
             V. E. Hoggatt, Jr.   Generalized Fibonacci Numbers in
                                  Pascal's Pyramid . . . . . . . . . . . . 271--276
           J. L. Brown, Jr. and   
                   R. L. Duncan   Modulo One Uniform Distribution of
                                  Certain Fibonacci-Related Sequences  . . 277--280
                     L. Carlitz   Note on Summation Formulas . . . . . . . 281--282
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 283--294
              Joseph S. Madachy   Some New Narcissistic Numbers  . . . . . 295--298
              Rolf A. Deininger   Fibonacci Numbers and Water Pollution
                                  Control  . . . . . . . . . . . . . . . . 299--300
                   J. Wlodarski   A Number Game  . . . . . . . . . . . . . 301--302
       Brother Alfred Brousseau   Fibonacci Numbers and Geometry . . . . . 303--318
                    Hugo Norden   Proportions and the Composer . . . . . . 319--323
                  M. S. Klamkin   A Number Problem . . . . . . . . . . . . 324
                   Beverly Ross   A Lucas Number Counting Problem  . . . . 325--327
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 328
                  A. P. Hillman   Elementary Problems and Solutions  . . . 329--336

Fibonacci Quarterly
Volume 10, Number 4, October, 1972

               P. S. Fisher and   
               E. E. Kohlbecker   A Generalized Fibonacci Sequence . . . . 337--344
              Lawrence F. Somer   The Fibonacci Group and a New Proof that
                                  $ F_{p - (5 / p)} \equiv 0 \pmod {p} $   345--348
               J. M. Gandhi and   
                   V. S. Taneja   The Coefficients of $ \cosh x / \cos x $ 349--354
                    H. W. Gould   A New Primality Criterion of Mann and
                                  Shanks and its Relation to a Theorem of
                                  Hermite with Extension to Fibonomials    355--364
                  E. Zeckendorf   A Generalized Fibonacci Numeration . . . 365--372
            Harald Niederreiter   Distribution of Fibonacci Numbers Mod $
                                  5^k $  . . . . . . . . . . . . . . . . . 373--374
           Lawrence Kuipers and   
               Jau-shyong Shiue   A Distribution Property of the Sequence
                                  of Fibonacci Numbers . . . . . . . . . . 375--376
                   Gerald Edgar   Perfect $N$-Sequences for $N$, $ N + 1
                                  $, and $ N + 2 $ . . . . . . . . . . . . 377--380
                    H. W. Gould   The Case of the Strange Binomial
                                  Identities of Professor Moriarty . . . . 381--392
             Nicholas P. Callas   Representations of Automorphic Numbers   393--396
                  David Zeitlin   A Product Identity for Sequences Defined
                                  by $ W_{n + 2} = d W_{n + 1} - c W_n $   397--402
                  Ernst M. Cohn   Pell Number Triples  . . . . . . . . . . 403--404
                 H. C. Williams   Fibonacci Numbers Obtained from Pascal's
                                  Triangle with Generalizations  . . . . . 405--412
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 413--421
                  Rex H. Shudde   Golden Section Search Problem  . . . . . 422
         Brother L. Raphael and   
                            FSC   Introduction to Patton Polygons  . . . . 423--428
       Brother Alfred Brousseau   Algorithm for Analyzing a Linear
                                  Recursion Sequence . . . . . . . . . . . 429--432
         V. E. Hoggatt, Jr. and   
              Marjorie Bicknell   Fun with Fibonacci at the Chess Match    433--434
                Andrew Feinberg   Polyhedra, Pentagrams and Plato  . . . . 435--438
             Joseph L. Ercolano   Making Golden Cuts with a Shoemaker's
                                  Knife  . . . . . . . . . . . . . . . . . 439--440
       Brother Alfred Brousseau   Ye Olde Fibonacci Curiosity Shoppe . . . 441--443
              Marjorie Bicknell   Book Review: \booktitleA Mathematical
                                  model of life and living, by Li-kung
                                  Shaw . . . . . . . . . . . . . . . . . . 444--444
                      Anonymous   Program of the Ninth Anniversary Meeting 445--446
                  A. P. Hillman   Elementary Problems and Solutions  . . . 447
                      Anonymous   Errata . . . . . . . . . . . . . . . . . 448--453
                      Anonymous   Fibonacci Makes the Sports Page  . . . . 454

Fibonacci Quarterly
Volume 10, Number 5, November, 1972

                 L. Carlitz and   
           Richard Scoville and   
             V. E. Hoggatt, Jr.   Pellian Representations  . . . . . . . . 449--488
                     L. Carlitz   Enumeration of $ 3 \times 3 $ Arrays . . 489--498
                 L. Carlitz and   
           Richard Scoville and   
             V. E. Hoggatt, Jr.   Representations for a Special Sequence   499--518
                Judy Kramer and   
             V. E. Hoggatt, Jr.   Special Cases of Fibonacci Periodicity   519--522
                     L. Carlitz   Concavity Properties of Certain
                                  Sequences of Numbers . . . . . . . . . . 523--525
                     L. Carlitz   A Conjecture Concerning Lucas Numbers    526
                 L. Carlitz and   
           Richard Scoville and   
             V. E. Hoggatt, Jr.   Addendum to the Paper ``Fibonacci
                                  Representations''  . . . . . . . . . . . 527--530
                     L. Carlitz   Sequences, Paths, Ballot Numbers . . . . 531--550
         V. E. Hoggatt, Jr. and   
                       Bob Chow   Some Theorems on Completeness  . . . . . 551--554
         V. E. Hoggatt, Jr. and   
          Marjorie Bichnell and   
                  Ellen L. King   Fibonacci and Lucas Triangles  . . . . . 555--560

Fibonacci Quarterly
Volume 10, Number 6, December, 1972

                  I. McCausland   A Simple Optimal Control Sequence in
                                  Terms of Fibonacci Numbers . . . . . . . 561--564
              A. P. Hillman and   
             V. E. Hoggatt, Jr.   A Proof of Gould's Pascal Hexagon
                                  Conjecture . . . . . . . . . . . . . . . 565--568
                 Janos Galambos   A Constructive Uniqueness Theorem on
                                  Representing Integers  . . . . . . . . . 569--570
               Rodney T. Hansen   Generating Identities for Fibonacci and
                                  Lucas Triples  . . . . . . . . . . . . . 571--578
                    H. W. Gould   A New Greatest Common Divisor Property
                                  of the Binomial Coefficients . . . . . . 579--584
                  L. R. Shenton   Linear Difference Equations and
                                  Generalized Continuants Part I:
                                  Algebraic Developments . . . . . . . . . 585--590
                 L. Carlitz and   
                  D. P. Roselle   Triangular Arrays Subject to MacMahon's
                                  Conditions . . . . . . . . . . . . . . . 591--598
     Verner E. Hoggatt, Jr. and   
              Marjorie Bicknell   Convolution Triangles  . . . . . . . . . 599--608
                    Hwa S. Hahn   A Counting Function of Integral
                                  $n$-Triples  . . . . . . . . . . . . . . 609--612
                    H. W. Gould   Some Combinatorial Identities of
                                  Bruckman --- a Systematic Treatment with
                                  Relation to the Older Literature . . . . 613--628
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 629--642
                    W. E. Sharp   Fibonacci Drainage Patterns  . . . . . . 643--646
       Brother Alfred Brousseau   A Primer for the Fibonacci Numbers. Part
                                  X: On the Representation of Integers . . 647--650
                    Edgar Karst   More About Magic Squares Consisting of
                                  Different Primes . . . . . . . . . . . . 651--655
                      Anonymous   Errata . . . . . . . . . . . . . . . . . 656
       Brother Alfred Brousseau   A Note on the Number of Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 657--658
                    Basil Davis   Fibonacci Numbers in Physics . . . . . . 659--660
                   Reuven Peleg   An Old Fibonacci Formula and Stopping
                                  Rules  . . . . . . . . . . . . . . . . . 661
                      Anonymous   Announcement . . . . . . . . . . . . . . 662
                  A. P. Hillman   Elementary Problems and Solutions  . . . 663--666
                      Anonymous   Volume Index . . . . . . . . . . . . . . 667


Fibonacci Quarterly
Volume 11, Number 1, February, 1973

   Helaman Rolfe Pratt Ferguson   Bernoulli Numbers and Non-Standard
                                  Differentiable Structures on $ (4 k - 1)
                                  $-Spheres  . . . . . . . . . . . . . . . 1--14
                   Joseph Arkin   Convergence of the Coefficients in the
                                  $k$ th Power of a Power Series . . . . . 15--24
                   E. G. Straus   On the Greatest common Divisor of Some
                                  Binomial Coefficients  . . . . . . . . . 25--26
                    H. W. Gould   A Triangle with Integral Sides and Area  27--39
                N. T. Gridgeman   A New Look at Fibonacci Generalization   40--54
                      Anonymous   Fibonacci Association Meeting:
                                  Conference Program . . . . . . . . . . . 55
               E. P. Merkes and   
                   David Meyers   On the Length of the Euclidean Algorithm 56--61
                  David Zeitlin   Letter to the Editor . . . . . . . . . . 62
                  Ernst M. Cohn   Letter to the Editor . . . . . . . . . . 62
               Herta T. Freitag   On Summations and Expansions of
                                  Fibonacci Numbers  . . . . . . . . . . . 63--71
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 72--77
             Dianne Smith Lucas   Numbers Common to Two Polygonal
                                  Sequences  . . . . . . . . . . . . . . . 78--84
     Verner E. Hoggatt, Jr. and   
              Janet Crump Anaya   A Primer for the Fibonacci Numbers. Part
                                  XI: Multisection Generating Functions
                                  for the Columns of Pascal's Triangle . . 85--90
   Brother Alfred Brousseau and   
            Harold Andersen and   
                   Jerome Povse   A Curious Property of Unit Fractions of
                                  the Form $ 1 / d $ Where $ (d, 10) = 1 $ 91--98
               Richard E. Grimm   The Autobiography of Leonardo Pisano . . 99--104
                  A. P. Hillman   Elementary Problems and Solutions  . . . 105--112

Fibonacci Quarterly
Volume 11, Number 2, April, 1973

                     L. Carlitz   Enumeration of Two-Line Arrays . . . . . 113--130
          Marjorie Bicknell and   
             V. E. Hoggatt, Jr.   Unit Determinants in Generalized Pascal
                                  Triangles  . . . . . . . . . . . . . . . 131--144
                    S. K. Stein   The Density of the Product of Arithmetic
                                  Progression  . . . . . . . . . . . . . . 145--152
                   Selmo Tauber   $n$-Fibonacci Products . . . . . . . . . 153--156
               David Singmaster   Some Corrections to Carlson's
                                  ``Determination of Heronian Triangles''  157--158
              Daniel Shanks and   
                   Larry Taylor   An Observation of Fibonacci Primitive
                                  Roots  . . . . . . . . . . . . . . . . . 159--160
                    Hugo S. Sun   A Group-Theoretical Proof of a Theorem
                                  in Elementary Number Theory  . . . . . . 161
                      Anonymous   Errata . . . . . . . . . . . . . . . . . 162
                 C. C. Yalavigi   Periodicity of Second- and Third-Order
                                  Recurring Sequences  . . . . . . . . . . 163--165
              Murray S. Klamkin   On Solving non-Homogeneous Linear
                                  Difference Equations . . . . . . . . . . 166--168
          Murray S. Klamkin and   
                  R. S. Fishman   A Reliability Problem  . . . . . . . . . 169--173
                   Joseph Arkin   The First Solution of the Classical
                                  Eulerian Magic Cube Problem of Order Ten 174--178
                   Selmo Tauber   On $K$-Numbers . . . . . . . . . . . . . 179--183
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 184--188
       Brother Alfred Brousseau   Through the Other End of the Telescope   189--194
          G. D. (Don) Chakerian   The Golden Ratio and a Greek Crisis  . . 195--200
                Frederick Stern   Intersections of Lines Connecting Two
                                  Parallel Lines . . . . . . . . . . . . . 201--203
             Joseph L. Ercolano   A Geometric Treatment of Some of the
                                  Algebraic Properties of the Golden
                                  Section  . . . . . . . . . . . . . . . . 204--208
       Brother Alfred Brousseau   Generalized Fibonacci Shift Formulas . . 209--223
                  A. P. Hillman   Elementary Problems and Solutions  . . . 224

Fibonacci Quarterly
Volume 11, Number 3, October, 1973

               Paul S. Bruckman   Some Generalizations Suggested by
                                  Gould's Systematic Treatment of Certain
                                  Binomial Identities  . . . . . . . . . . 225--240
               F. W. Light, Jr.   A Procedure for the Enumeration of $ 4
                                  \times n $ Latin Rectangles  . . . . . . 241--246
                 R. G. Buschman   Some Simple Sieves . . . . . . . . . . . 247--254
                   Haruo Hosoya   Topological Index and Fibonacci Numbers
                                  with Relation to Chemistry . . . . . . . 255--265
              Marjorie Bicknell   Book Review: \booktitleI Ching Games, by
                                  H. Y. Li and Sibley S. Morrill . . . . . 266
               David A. Klarner   The Number of SDR's in Certain Regular
                                  Systems  . . . . . . . . . . . . . . . . 267--270
         V. E. Hoggatt, Jr. and   
              Marjorie Bicknell   Roots of Fibonacci Polynomials . . . . . 271--274
               C. A. Church and   
              Marjorie Bicknell   Exponential Generating Functions for
                                  Fibonacci Identities . . . . . . . . . . 275--281
               David Singmaster   Notes on Binomial Coefficients: IV ---
                                  Proof of a Conjecture of Gould on the
                                  GCD's of Two Triples of Binomial
                                  Coefficients . . . . . . . . . . . . . . 282--283
                      Anonymous   Letters to the Editors . . . . . . . . . 284
               Bjarne Junge and   
             V. E. Hoggatt, Jr.   Polynomials Arising from Reflections
                                  across Multiple Plates . . . . . . . . . 285--291
                 L. Kuipers and   
               Jau-shyong Shiue   Remark on a Paper by Duncan and Brown on
                                  the Sequence of Logarithms of Certain
                                  Recursive Sequences  . . . . . . . . . . 292--293
                      Anonymous   Errata . . . . . . . . . . . . . . . . . 294
                 R. G. Buschman   Representations as Products or as Sums   295--301
                  Leo Moser and   
                      Max Wyman   Multiple Reflections . . . . . . . . . . 302--306
              Dean R. Hickerson   Recursion-Type Formulae for Partitions
                                  into Distinct Parts  . . . . . . . . . . 307--311
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 312--314
                   D. A. Butter   An Inequality in a Certain Diophantine
                                  Equation . . . . . . . . . . . . . . . . 315--316
     Verner E. Hoggatt, Jr. and   
               Nannette Cox and   
              Marjorie Bicknell   A Primer for the Fibonacci Numbers: Part
                                  XII  . . . . . . . . . . . . . . . . . . 317--331
       Brother Alfred Brousseau   Ye Olde Fibonacci Curiosity Shoppe . . . 332
                  A. P. Hillman   Elementary Problems and Solutions  . . . 333--336

Fibonacci Quarterly
Volume 11, Number 4, November, 1973

                 L. Carlitz and   
           Richard Scoville and   
                Theresa Vaughan   Some Arithmetic Function Related to
                                  Fibonacci Numbers  . . . . . . . . . . . 337--386
            J. L. Hunsucker and   
                  W. P. Wardlaw   Complete Sequences of Fibonacci Powers   387--394
     Verner E. Hoggatt, Jr. and   
              Danial C. Fielder   Analytical Verification of an ``at
                                  Sight'' Transformation . . . . . . . . . 395--398
     Verner E. Hoggatt, Jr. and   
              Marjorie Bicknell   Generalized Fibonacci Polynomials and
                                  Zeckendorf's Theorem . . . . . . . . . . 399--419
              Daniel C. Fielder   A Discussion of Subscript Sets with Some
                                  Fibonacci Counting Help  . . . . . . . . 420--428
                  A. V. Aho and   
                N. J. A. Sloane   Some Doubly Exponential Sequences  . . . 429--437
                  Sol Weintraub   On Storing and Analyzing Large Strings
                                  of Primes  . . . . . . . . . . . . . . . 438--440
              Daniel C. Fielder   Counting of Certain Partitions of
                                  Numbers  . . . . . . . . . . . . . . . . 441--442
                    Graham Lord   Counting Omitted Values  . . . . . . . . 443--448

Fibonacci Quarterly
Volume 11, Number 5, December, 1973

                 Calvin T. Long   Arrays of Binomial Coefficients Whose
                                  Products are Squares . . . . . . . . . . 449--456
          Marjorie Bicknell and   
             V. E. Hoggatt, Jr.   Generalized Fibonacci Polynomials  . . . 457--465
                  R. J. DeCarli   Periodicity Over the Ring of Matrices    466--468
         V. E. Hoggatt, Jr. and   
              Marjorie Bicknell   Special Determinants Found within
                                  Generalized Pascal Triangles . . . . . . 469--479
                      L. C. Hsu   Note on a Combinatorial Algebraic
                                  Identity and its Application . . . . . . 480--484
                   Joseph Arkin   A Solution to the Classical Problem of
                                  Finding Systems of Three Mutually
                                  Orthogonal Numbers in a Cube Formed by
                                  Three Superimposed $ 10 \times 10 \times
                                  10 $ Cubes . . . . . . . . . . . . . . . 485--489
                 W. A. Sentance   A Further Analysis of Benford's Law  . . 490--494
               Michael F. Lynch   A Fibonacci-Related Series in an Aspect
                                  of Information Retrieval . . . . . . . . 495--499
                      Anonymous   Letter to the Editor . . . . . . . . . . 500
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 501--507
                   Dale D. Shea   On the Number of Divisions Needed in
                                  Finding the Greatest Common Divisor  . . 508--510
              Marjorie Bicknell   A Primer for the Fibonacci Numbers: Part
                                  XIII . . . . . . . . . . . . . . . . . . 511--516
                Harold D. Shane   A Fibonacci Probability Function . . . . 517--522
            Frank J. D. Trumper   Some General Fibonacci Shift Formulae    523
                      Anonymous   Errata . . . . . . . . . . . . . . . . . 524
                  Carl F. Moore   More Hidden Hexagon Squares  . . . . . . 525
                   J. Wlodarski   The Balmer Series and the Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 526
                  Bruce W. King   A Polynomial with Generalized Fibonacci
                                  Coefficients . . . . . . . . . . . . . . 527--532
                  Furio Alberti   Another Proof for a Continued Fraction
                                  Identity . . . . . . . . . . . . . . . . 533--534
           Daniel Lance Herrick   On the Periodicity of the Terminal
                                  Digits in Fibonacci Sequences  . . . . . 535--538
               Charles W. Trigg   Geometric Proof of a Result of Lehmer's  539--540
               Walter W. Horner   Fibonacci and Apollonius . . . . . . . . 541--542
               Jerome Rothstein   A Method for Constructing Singly Even
                                  Magic Squares  . . . . . . . . . . . . . 543--544
              William L. Mathis   The $Z$ Transform and the Fibonacci
                                  Sequence . . . . . . . . . . . . . . . . 545--546
                 M. N. S. Swamy   On Generalized Fibonacci Quaternions . . 547--549
                  A. P. Hillman   Elementary Problems and Solutions  . . . 550--553
                      Anonymous   Volume Index . . . . . . . . . . . . . . 554


Fibonacci Quarterly
Volume 12, Number 1, February, 1974

                     L. Carlitz   Fibonacci Notes --- 1. Zero-One
                                  Sequences and Fibonacci Numbers of
                                  Higher Order . . . . . . . . . . . . . . 1--10
             Brother L. Raphael   Linearly Recursive Sequences of Integers 11--37
                  H. E. Huntley   The Golden Ellipse . . . . . . . . . . . 38--40
                   R. R. Laxton   On a Problem of M. Ward  . . . . . . . . 41--44
                    A. K. Gupta   Generalized Hidden Hexagon Squares . . . 45
                Donald E. Knuth   Letter to the Editor . . . . . . . . . . 46, 79, 82
         V. E. Hoggatt, Jr. and   
              Marjorie Bicknell   Diagonal Sums of the Trinomial Triangle  47--50
              Agnes Andreassian   Fibonacci Sequences Modulo $m$ . . . . . 51--64
                  H. E. Huntley   Phi: Another Hiding Place  . . . . . . . 65
                      Anonymous   Fibonacci Association Meeting: Program   66
                  D. V. Jaiswal   Some Geometrical Properties of the
                                  Generalized Fibonacci Sequences  . . . . 67--70
             Calvin T. Long and   
             V. E. Hoggatt, Jr.   Sets of Binomial Coefficients with Equal
                                  Products . . . . . . . . . . . . . . . . 71--79
                   V. C. Harris   On Daykin's Algorithm for Finding the G.
                                  C. D.  . . . . . . . . . . . . . . . . . 80
                    Sahib Singh   Stufe of a Finite Field  . . . . . . . . 81--82
                    Edgar Karst   Iteration Algorithms for Certain Sums of
                                  Squares  . . . . . . . . . . . . . . . . 83--86
              Michael R. Turner   Certain Congruence Properties (Modulo
                                  100) of Fibonacci Numbers  . . . . . . . 87--91
                  Santosh Kumar   Fibonaccian Pathological Curves  . . . . 92--94
               G. E. Bergum and   
             V. E. Hoggatt, Jr.   Irreducibility of Lucas and Generalized
                                  Lucas Polynomials  . . . . . . . . . . . 95--100
                  A. P. Hillman   Elementary Problems and Solutions  . . . 101--106
                  R. E. Whitney   Advanced Problems and Solutions  . . . . 107--112

Fibonacci Quarterly
Volume 12, Number 2, April, 1974

     Verner E. Hoggatt, Jr. and   
                 Calvin T. Long   Divisibility Properties of Generalized
                                  Fibonacci Polynomials  . . . . . . . . . 113--120
                  Carl Serkland   Generating Identities for Pell Triples   121--128
         G. L. Alexanderson and   
                L. F. Klosinski   A Fibonacci Analogue of Gaussian
                                  Binomial Coefficients  . . . . . . . . . 129--132
                   Joseph Arkin   A Solution of Orthogonal Triples in Four
                                  $ 10 \times 10 \times 10 $ Superimposed
                                  Latin Cubes  . . . . . . . . . . . . . . 133--140
              George E. Andrews   Combinatorial Analysis and Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 141--145
       Brother Alfred Brousseau   Fibonacci Summations Involving a Power
                                  of a Rational Number --- Summary . . . . 146
         V. E. Hoggatt, Jr. and   
              Marjorie Bicknell   A Primer for the Fibonacci Numbers: Part
                                  XIV  . . . . . . . . . . . . . . . . . . 147--156
                 Henry W. Gould   Generalization of Hermite's Divisibility
                                  Theorems and the Mann--Shanks Primality
                                  Criterion for $s$-Fibonomial Arrays  . . 157--166
       Brother Alfred Brousseau   Algorithms for Third-Order Recursion
                                  Sequences  . . . . . . . . . . . . . . . 167--174
                 Paul A. Catlin   On the Divisors of Second-Order
                                  Recurrences  . . . . . . . . . . . . . . 175--178
                     L. Carlitz   Fibonacci Notes --- 2. Multiple
                                  Generating Functions . . . . . . . . . . 179--185
                  Marcia Ascher   A Combinatorial Identity . . . . . . . . 186--188
         V. E. Hoggatt, Jr. and   
               Gerald E. Bergum   Divisibility and Congruence Relations    189--195
                   Myron Tepper   Combinations and Sums of Powers  . . . . 196--198
                    Barry Brent   Functional Equations with Prime Roots
                                  from Arithmetic Expressions for $
                                  G_\alpha $ . . . . . . . . . . . . . . . 199--207
                    Barry Brent   An Expansion of $ e^x $ off Roots of One 208
               Charles W. Trigg   Infinite Sequences of Palindromic
                                  Triangular Numbers . . . . . . . . . . . 209--211
               Gerald E. Bergum   A Note on the Fermat--Pellian Equation   212
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 213--219
                  A. P. Hillman   Elementary Problems and Solutions  . . . 220

Fibonacci Quarterly
Volume 12, Number 3, October, 1974

         V. E. Hoggatt, Jr. and   
              Marjorie Bicknell   Triangular Numbers . . . . . . . . . . . 221--230
                A. J. W. Hilton   On Fern's Theorem on the Expansion of
                                  Fibonacci and Lucas Numbers  . . . . . . 231
                      Anonymous   The Fibonacci Association Research
                                  Conference . . . . . . . . . . . . . . . 232
           F. J. Wunderlich and   
                 D. E. Shaw and   
                    M. J. Hones   Argand Diagrams of Extended Fibonacci
                                  and Lucas Numbers  . . . . . . . . . . . 233--234
              Duane W. DeTemple   A Pentagonal Arch  . . . . . . . . . . . 235--236
                  A. G. Shannon   A Generalization of the Hilton--Fern
                                  Theorem on the Expansion of Fibonacci
                                  and Lucas Numbers  . . . . . . . . . . . 237--240
               J. W. Walton and   
                  A. F. Horadam   Some Aspects of Generalized Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 241--250
                 P. J. deBruijn   An Extension of Fibonacci's Sequence . . 251--258
                A. J. W. Hilton   Spanning Trees and Fibonacci and Lucas
                                  Numbers  . . . . . . . . . . . . . . . . 259--262
                  D. V. Jaiswal   On Polynomials Related to Tchebichef
                                  Polynomials of the Second Kind . . . . . 263--264
                 L. Carlitz and   
                 Margaret Hodel   Corrigendum to: ``Enumeration of
                                  Two-Line Arrays''  . . . . . . . . . . . 265--266
                  A. F. Horadam   Oresme Numbers . . . . . . . . . . . . . 267--270
                  Daniel Shanks   Incredible Identities  . . . . . . . . . 271
               J. E. Walton and   
                  A. F. Horadam   Some Further Identities for the
                                  Generalized Fibonacci Sequence $ H_n $   272--280
                  A. G. Shannon   Explicit Expressions for Powers of
                                  Linear Recursive Sequences . . . . . . . 281--287
               Joseph Arkin and   
                   E. G. Straus   Latin $k$-Cubes  . . . . . . . . . . . . 288--291
                 M. G. Monzingo   On Extending the Fibonacci Numbers to
                                  the Negative Integers  . . . . . . . . . 292
                  A. G. Shannon   A Method of Carlitz Applied to the $k$
                                  th Power Generating Function for
                                  Fibonacci Numbers  . . . . . . . . . . . 293--298
                Richard Guy and   
                  Daniel Shanks   A Constructed Solution of $ \sigma (n) =
                                  \sigma (n + 1) $ . . . . . . . . . . . . 299
                    H. W. Gould   The Design of the Four Binomial
                                  Identities: Moriarty Intervenes  . . . . 300--308
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 309--312
                  A. P. Hillman   Elementary Problems and Solutions  . . . 313--316

Fibonacci Quarterly
Volume 12, Number 4, December, 1974

                     L. Carlitz   Fibonacci Notes --- 3: $q$-Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 317--322
                    Warren Page   P.Q.M.-Cycles, a Generalized Number
                                  Problem  . . . . . . . . . . . . . . . . 323--325
               Charles W. Trigg   The Apollonius Problem . . . . . . . . . 326
                  A. G. Shannon   Some Properties of a Fundamental
                                  Recursive Sequence of Arbitrary Order    327--334
                   Paul Erd\Hos   Letter to the Editor . . . . . . . . . . 335
              C. A. Church, Jr.   Lattice Paths and Fibonacci and Lucas
                                  Numbers  . . . . . . . . . . . . . . . . 336--338
                A. J. W. Hilton   On the Partition of Haradam's
                                  Generalized Sequences into Generalized
                                  Fibonacci and Generalized Lucas
                                  Sequences  . . . . . . . . . . . . . . . 339--344
                      Anonymous   Errata . . . . . . . . . . . . . . . . . 345
                     I. J. Good   A Reciprocal Series of Fibonacci Numbers 346
                 Norris Goodwin   Power Series and Cyclic Decimals . . . . 347
                  A. F. Horadam   On Generating Functions for Powers of a
                                  Generalized Sequence of Numbers  . . . . 348
                 Paul A. Catlin   A Lower Bound for the Period of the
                                  Fibonacci Series Modulo $M$  . . . . . . 349--350
              A. G. Shannon and   
              A. F. Horadam and   
                 S. N. Collings   Some Congruences for Fibonacci Numbers   351--354
              Daniel C. Fielder   Fibonacci Numbers in Tree Counts for
                                  Sector and Related Graphs  . . . . . . . 355--359
                    M. J. Hodel   Combinatorial Interpretation of an
                                  Analog of Generalized Binomial
                                  Coefficients . . . . . . . . . . . . . . 360--362
                Murray Hochberg   On the Set of Divisor of a Number  . . . 363--364
                 Paul A. Catlin   On the Multiplication of Recurrences . . 365--367
                  David Zeitlin   A Note on Fermat's Last Theorem  . . . . 368
                     L. Carlitz   A $q$-Identity . . . . . . . . . . . . . 369--372
                  R. C. Grimson   The Evaluation of Certain Arithmetic
                                  Sums . . . . . . . . . . . . . . . . . . 373--380
           Marcellus E. Waddill   Matrices and Generalized Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 381--386
               Charles W. Trigg   Antimagic Squares Derived from the
                                  Third-Order Magic Square . . . . . . . . 387--390
                   Emanuel Vegh   Concerning an Equivalence Relation for
                                  Matrices . . . . . . . . . . . . . . . . 391--392
                    H. W. Gould   Some Sequences Generated by Spiral
                                  Sieving Methods  . . . . . . . . . . . . 393--397
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 398--402
                  A. P. Hillman   Elementary Problems and Solutions  . . . 403--406
                      Anonymous   Volume Index . . . . . . . . . . . . . . 407


Fibonacci Quarterly
Volume 13, Number 1, February, 1975

            Krishnaswami Alladi   A Farey Sequence of Fibonacci Numbers    1--10
                     I. J. Good   The Number of Orderings of $n$
                                  Candidates When Ties are Permitted . . . 11--18
               G. E. Bergum and   
               W. J. Wagner and   
             V. E. Hoggatt, Jr.   Chebyshev Polynomials and Related
                                  Sequences  . . . . . . . . . . . . . . . 19--24
             W. L. McDaniel and   
               Peter Hagis, Jr.   Some Results Concerning the
                                  Non-Existence of Odd Perfect Numbers of
                                  the Form $ p^\alpha M^{2 \beta } $ . . . 25--28
             Joseph J. Heed and   
                  Lucille Kelly   An Interesting Sequence of Fibonacci
                                  Sequence Generators  . . . . . . . . . . 29--30
            Krishnaswami Alladi   A Rapid Method to Form Farey Fibonacci
                                  Fractions  . . . . . . . . . . . . . . . 31
                Jeffrey Shallit   A Simple Proof that Phi is Irrational    32
       Brother Alfred Brousseau   Symmetric Sequences  . . . . . . . . . . 33--41
                 John W. Layman   Some Interesting Necessary Conditions
                                  for $ (a - 1)^n + (b - 1)^n - (c - 1)^n
                                  = 0 $  . . . . . . . . . . . . . . . . . 42--44
              Herbert L. Holden   Fibonacci Tiles  . . . . . . . . . . . . 45--49
                    Hugo S. Sun   Embedding a Semigroup in a Ring  . . . . 50
              Kenneth R. Rebman   The Sequence: $ 1 5 16 45 121 320 $ ---
                                  In Combinatorics . . . . . . . . . . . . 51--55
                     Norman Woo   Non-Basic Triples  . . . . . . . . . . . 56--58
                   Paul F. Byrd   New Relations Between Fibonacci and
                                  Bernoulli Numbers  . . . . . . . . . . . 59--69
             Sin Hitotumatu and   
                Daihachiro Sato   Star of David Theorem (I)  . . . . . . . 70
                 L. Carlitz and   
               Richard Scoville   Eulerian Numbers and Operators . . . . . 71--83
                 James P. Jones   Diophantine Representation of the
                                  Fibonacci Numbers  . . . . . . . . . . . 84--88
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 89--93
                  A. P. Hillman   Elementary Problems and Solutions  . . . 94--96

Fibonacci Quarterly
Volume 13, Number 2, April, 1975

                     L. Carlitz   Fibonacci Notes --- 4: $q$-Fibonacci
                                  Polynomials  . . . . . . . . . . . . . . 97--102
               Paul S. Bruckman   A General Identity for Multisecting
                                  Generating Functions . . . . . . . . . . 103--104
               Paul S. Bruckman   A Formula for $ A_n^2 (x) $  . . . . . . 105--106
               Joseph Arkin and   
             V. E. Hoggatt, Jr.   The Generalized Fibonacci Number and Its
                                  Relation to Wilson's Theorem . . . . . . 107--109
          Delano P. Wegener and   
               Joseph A. Wehlen   Pythagorean Triangles --- Abstract . . . 110
                   Paul F. Byrd   Relations Between Euler and Lucas
                                  Numbers  . . . . . . . . . . . . . . . . 111--114
               G. E. Bergum and   
             V. E. Hoggatt, Jr.   Sums and Products for Recurring
                                  Sequences  . . . . . . . . . . . . . . . 115--120
                     L. Carlitz   Some Identities of Bruckman  . . . . . . 121--126
                 Henry W. Gould   Formal Proof of Equivalence of Two
                                  Solutions of the General Pascal
                                  Recurrence . . . . . . . . . . . . . . . 127--128
                     L. Carlitz   Note on Some Generating Functions  . . . 129--133
                 C. K. Wong and   
                 T. W. Maddocks   A Generalized Pascal's Triangle  . . . . 134--136
         V. E. Hoggatt, Jr. and   
            Krishnaswami Alladi   Generalized Fibonacci Tiling . . . . . . 137--144
       Brother Alfred Brousseau   A Least Integer Sequence Investigation   145--146
                H. L. Alder and   
                 Amin A. Muwafi   Identities Relating the Number of
                                  Partitions into an Even and Odd Number
                                  of Parts . . . . . . . . . . . . . . . . 147--149
                   D. H. Lehmer   Fibonacci and Related Sequences in
                                  Periodic Tridiagonal Matrices  . . . . . 150--158
          H. J. A. Sallé   A Maximum Value for the Rank of
                                  Apparition of Integers in Recursive
                                  Sequences  . . . . . . . . . . . . . . . 159--160
         V. E. Hoggatt, Jr. and   
               John W. Phillips   Fibonacci and Lucas Sums in the
                                  $r$-Normal Triangle --- Abstract . . . . 161
                     Sam Lindle   Exponential Modular Identity Elements
                                  and the Generalized Last Digit Problem   162--170
       Alexander G. Abercrombie   Letter to the Editor . . . . . . . . . . 171--173
                  James M. Mann   Signed $b$-Adic Partitions . . . . . . . 174--180
                      Ada Booth   Idiot's Roulette Revisited . . . . . . . 181--184
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 185--189
                  A. P. Hillman   Elementary Problems and Solutions  . . . 190--192

Fibonacci Quarterly
Volume 13, Number 3, October, 1975

         V. E. Hoggatt, Jr. and   
                   G. E. Bergum   Generalized Convolution Arrays . . . . . 193--197
                      Anonymous   Letter to the Editor . . . . . . . . . . 198
              Michael D. Miller   A Recursively Defined Divisor Function   199--203
        William Raymond Griffin   Significance of Even-Oddness of a
                                  Prime's Penultimate Digit  . . . . . . . 204
                     H. S. Hahn   Another Property of Magic Squares  . . . 205--208
                   M. W. Bunder   On Halsey's Fibonacci Function . . . . . 209--210
                Donald C. Cross   Fibonacci Multi-Multigrades  . . . . . . 211--212
                 H. C. Williams   On Fibonacci Numbers of the Form $ k^2 +
                                  1 $  . . . . . . . . . . . . . . . . . . 213--214
             Richard P. Stanley   The Fibonacci Lattice  . . . . . . . . . 215--232
        Krishnaswami Alladi and   
             V. E. Hoggatt, Jr.   Compositions with Ones and Twos  . . . . 233--239
                 H. C. Williams   The Rank of Apparition of a Generalized
                                  Fibonacci Sequences  . . . . . . . . . . 240--242
             Brian Peterson and   
             V. E. Hoggatt, Jr.   On the Solutions to the Diophantine
                                  Equation $ x^2 + x y - y^2 = \pm D $, or
                                  the Number of Fibonacci-Type Sequences
                                  with a Given Characteristic  . . . . . . 243--251
            Abbe Mowshowitz and   
                   Frank Harary   Enumeration of End-Labeled Trees . . . . 252--254
            Krishnaswami Alladi   Approximation of Irrationals with Farey
                                  Fibonacci Fractions  . . . . . . . . . . 255--259
                  C. J. Everett   A Greatest Integer Theorem for Fibonacci
                                  Spaces . . . . . . . . . . . . . . . . . 260--262
              Delano P. Wegener   Primitive Pythagorean Triples with Sum
                                  of Difference of Legs Equal to a Prime   263--277
         V. E. Hoggatt, Jr. and   
              Marjorie Bicknell   Special Partitions . . . . . . . . . . . 278
                   M. W. Bunder   Products and Powers  . . . . . . . . . . 279
                   M. W. Bunder   A Special Case of the Generalized
                                  Fibonacci Sequence Over an Arbitrary
                                  Ring with Identity . . . . . . . . . . . 280
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 281--284
                  A. P. Hillman   Elementary Problems and Solutions  . . . 285--288

Fibonacci Quarterly
Volume 13, Number 4, December, 1975

               Richard R. Stone   General Identities for Fibonacci and
                                  Lucas Numbers with Polynomial Subscripts
                                  in Several Variables . . . . . . . . . . 289--294
               David Singmaster   Repeated Binomial Coefficients and
                                  Fibonacci Numbers  . . . . . . . . . . . 295--298
               J. L. Brown, Jr.   A Recursive Method for Counting Integers
                                  not Representable in Certain Expansions  299--302
                 L. Carlitz and   
               Richard Scoville   A Note on Weighted Sequences . . . . . . 303--306
                      C. Ryavec   An Application of Spectral Theory to
                                  Fibonacci Numbers  . . . . . . . . . . . 307--308
                Gregory Wulczyn   Minimum Solutions to $ x^2 - D y^2 = \pm
                                  1 $  . . . . . . . . . . . . . . . . . . 309--311
                   N. Georgieva   Distribution of the Zeroes of One Class
                                  of Polynomials . . . . . . . . . . . . . 312--314
                  Andras Recski   On the Generalization of the Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 315--317
                   Larry Taylor   The General Law of Quadratic Reciprocity 318
                  Daniel Shanks   Non-Hypotenuse Numbers . . . . . . . . . 319--321
                 Lawrence Somer   The Fibonacci Ratios $ F_{k + 1} / F_k $
                                  Modulo $p$ . . . . . . . . . . . . . . . 322--324
                    S. M. Tanny   On Alternating Subsets of Integers . . . 325--328
                    Hugo S. Sun   Structure of the Reduced Residue System
                                  with Composite Modulus . . . . . . . . . 329--330
            J. L. Hunsucker and   
                 Carl Pomerance   On an Interesting Property of
                                  11234955056179752809 . . . . . . . . . . 331--333
                   William Webb   Distribution of the First Digits of
                                  Fibonacci Numbers  . . . . . . . . . . . 334--336
             Henry L. Alder and   
                 Amin A. Muwafi   Generalizations of Euler's Recurrence
                                  Formula for Partitions . . . . . . . . . 337--339
            Raphael Finkelstein   On Lucas Numbers which are One More than
                                  a Square . . . . . . . . . . . . . . . . 340--342
               George Berzsenyi   Sums of Products of Generalized
                                  Fibonacci Numbers  . . . . . . . . . . . 343--344
              Marjorie Bicknell   A Primer on the Pell Sequence and
                                  Related Sequences  . . . . . . . . . . . 345--349
         V. E. Hoggatt, Jr. and   
              Marjorie Bicknell   Palindromic Compositions . . . . . . . . 350--355
             A. R. Mitchell and   
                 R. W. Mitchell   A Note on Topologies on Finite Sets  . . 356
         V. E. Hoggatt, Jr. and   
               Paul S. Bruckman   The $H$-Convolution Transform  . . . . . 357--368
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 369--372
                  A. P. Hillman   Elementary Problems and Solutions  . . . 373--377
                      Anonymous   Volume Index . . . . . . . . . . . . . . 378


Fibonacci Quarterly
Volume 14, Number 1, February, 1976

                  Humphrey Nash   Some Operational Formulas  . . . . . . . 1--8
                P. Monteiro and   
                  R. W. Newcomb   Minimal and Maximal Fibonacci
                                  Representations: Boolean Generation  . . 9--11
                      Anonymous   Letter to the Editor . . . . . . . . . . 12
                    Basil Davis   Some Remarks on Initial Digits . . . . . 13--14
                Samuel T. Stern   On Isomorphisms Between the Naturals and
                                  Integers . . . . . . . . . . . . . . . . 15--16
                   Leon Bankoff   A Fibonacci Curiosity  . . . . . . . . . 17
                Gregory Wulczyn   On Continued Fraction Expansions Whose
                                  Elements are All Ones  . . . . . . . . . 18--22
                 M. G. Monzingo   On Congruences Modulo a Power of a Prime 23
                   Donald Cross   A More General Fibonacci Multigrade  . . 24
                 L. G. Zukerman   Fibonacci Ratio in Electric Wave Filters 25--26
                Michael Willett   On a Theorem of Kronecker  . . . . . . . 27--28
                   Leon Bankoff   A Fibonacci Pleasantry . . . . . . . . . 29
             Dean B. Priest and   
               Stephen W. Smith   Column Generators for Coefficients of
                                  Fibonacci and Fibonacci-Related
                                  Polynomials  . . . . . . . . . . . . . . 30--34
             Theodore J. Cullen   A Summation Identity . . . . . . . . . . 35--36
                T. G. Lewis and   
                B. J. Smith and   
                    M. Z. Smith   Fibonacci Sequences and Memory
                                  Management . . . . . . . . . . . . . . . 37--41
                  N. C. Mohanty   Interesting Properties of Laguerre
                                  Polynomials  . . . . . . . . . . . . . . 42
               G. E. Bergum and   
             V. E. Hoggatt, Jr.   Numerator Polynomial Coefficient Array
                                  for the Convolved Fibonacci Sequence . . 43--47
                      Anonymous   Letter to the Editor . . . . . . . . . . 48
                    Haim Hanani   A Combinatorial Identity . . . . . . . . 49--51
                  T. E. Stanley   Some Remarks on the Periodicity of the
                                  Sequence of Fibonacci Numbers  . . . . . 52--53
                  S. H. L. Kung   Parity Triangles of Pascal's Triangle    54
                     L. Carlitz   The Saalschützian Theorems  . . . . . . . 55--63
            Robert W. Stringall   A Density Relationship Between $ a x + b
                                  $ and $ [x / c] $  . . . . . . . . . . . 64--66
             E. A. Enneking and   
                    J. C. Ahuja   Generalized Bell Numbers . . . . . . . . 67--73
               T. K. Puttaswamy   A Note on a Theorem of W. B. Ford  . . . 74
            George H. Weiss and   
                Menachem Dishon   A Method for the Evaluation of Certain
                                  Sums Involving Binomial Coefficients . . 75--77
          Robert Gordon Babb II   On the Order of Systems of Two
                                  Simultaneous Linear Difference Equations
                                  in Two Variables . . . . . . . . . . . . 78--82
                   J. E. Walton   Lucas Polynomials and Certain Circular
                                  Functions of Matrices  . . . . . . . . . 83--87
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 88--92
                  A. P. Hillman   Elementary Problems and Solutions  . . . 93--96

Fibonacci Quarterly
Volume 14, Number 2, April, 1976

     Partha Pratim Majumder and   
            Aravinda Chakravati   Variation in the Number of Ray- and
                                  Disc-Florets in Four Species of
                                  Compositae . . . . . . . . . . . . . . . 97--100
                      S. Tauber   Combinatorial Numbers in $ C^n $ . . . . 101--110
                David T. Walker   Consecutive Integer Pairs of Powerful
                                  Numbers and Related Diophantine
                                  Equations  . . . . . . . . . . . . . . . 111--116
         V. E. Hoggatt, Jr. and   
             G. L. Alexanderson   Sums of Partition Sets in Generalized
                                  Pascal Triangles I . . . . . . . . . . . 117--125
                    Hugo Norden   Per Nòrgård's ``Canon''  . . . . . . . . . 126--128
               W. Elliott Greig   Bode's Rule and Folded Sequences . . . . 129--133
                 James P. Jones   Diophantine Representation of the Lucas
                                  Numbers  . . . . . . . . . . . . . . . . 134
         V. E. Hoggatt, Jr. and   
              Marjorie Bicknell   Pascal, Catalan, and General Sequence
                                  Convolution Arrays in a Matrix . . . . . 135--142
                    H. W. Gould   Letter to the Editor . . . . . . . . . . 143
         V. E. Hoggatt, Jr. and   
            Krishnaswami Alladi   In-Winding Spirals . . . . . . . . . . . 144--146
                   James Alonso   Arithmetic Sequences of Higher Order . . 147--152
                 Ronald Solomon   Divisibility Properties of Certain
                                  Recurring Sequences  . . . . . . . . . . 153--158
       Brother Alfred Brousseau   Recursion Relations of Products of
                                  Linear Recursion Sequences . . . . . . . 159--166
               Joseph Arkin and   
                     Paul Smith   Trebly-Magic Systems in a Latin $3$-Cube
                                  of Order Eight . . . . . . . . . . . . . 167--170
                   P. C. Consul   Some Factorable Determinants . . . . . . 171--172
                   Haruo Hosoya   Fibonacci Triangle . . . . . . . . . . . 173--179
                   Larry Taylor   A Conjecture Relating Quartic
                                  Reciprocity and Quartic Residuacity to
                                  Primitive Pythagorean Triples  . . . . . 180--181
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 182--187
                  A. P. Hillman   Elementary Problems and Solutions  . . . 188--192

Fibonacci Quarterly
Volume 14, Number 3, October, 1976

             P. S. Bruckman and   
                     I. J. Good   A Generalization of a Series of DeMorgan
                                  with Applications of Fibonacci Type  . . 193--195
                   G. J. Rieger   On the Harris Modification of the
                                  Euclidean Algorithm  . . . . . . . . . . 196--196
              David G. Beverage   Polynomials $ P_{2 n + 1}(x) $
                                  Satisfying $ P_{2 n + 1}(F_k) = F_{(2 n
                                  + 1)k} $ . . . . . . . . . . . . . . . . 197--200
                  Louis Shapiro   Fibonacci Numbers and Upper Triangular
                                  Groups . . . . . . . . . . . . . . . . . 201--202
             David Lee Hilliker   On the Infinite Multinomial Expansion    203--205
                R. B. Killgrove   The Sum of Two Powers is a Third,
                                  Sometimes  . . . . . . . . . . . . . . . 206--209
             Donald W. Robinson   The Rank and Period of a Linear
                                  Recurrent Sequence Over a Ring . . . . . 210--213
                     L. Kuipers   Letter to the Editor . . . . . . . . . . 214
                    F. P. Sayer   The Sums of Certain Series Containing
                                  Hyperbolic Functions . . . . . . . . . . 215--223
         V. E. Hoggatt, Jr. and   
              Marjorie Bicknell   Sequences of Matrix Inverses from
                                  Pascal, Catalan, and Related Convolution
                                  Arrays . . . . . . . . . . . . . . . . . 224--232
   Helaman Rolfe Pratt Ferguson   On a Generalization of the Fibonacci
                                  Numbers Useful in Memory Allocation
                                  Schema; or All About the Zeroes of $ Z^k
                                  - Z^{k - 1} - 1, k > 0 $  . . . . . . . . 233--243
             Theresa P. Vaughan   A Note on Some Arithmetic Functions
                                  Connected with the Fibonacci Numbers . . 244--248
                     L. Carlitz   Some Binomial Sums . . . . . . . . . . . 249--253
                     L. Carlitz   Restricted Compositions  . . . . . . . . 254--264
                   Myron Tepper   Sums of Combination Products . . . . . . 265--271
         V. E. Hoggatt, Jr. and   
              Marjorie Bicknell   A Primer for the Fibonacci Numbers, Part
                                  XV: Variations on Summing a Series of
                                  Reciprocals of Fibonacci Numbers . . . . 272--276
               David A. Klarner   A Model for Population Growth  . . . . . 277--281
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 282--285
                  A. P. Hillman   Elementary Problems and Solutions  . . . 286--288

Fibonacci Quarterly
Volume 14, Number 4, November, 1976

              Robert Silber and   
                   Ralph Gellar   The Algebra of Fibonacci Representations 289--326
                     L. Carlitz   Set Partitions . . . . . . . . . . . . . 327--342
              Claudia Smith and   
         Verner E. Hoggatt, Jr.   Primitive Periods of Generalized
                                  Fibonacci Sequences  . . . . . . . . . . 343--347
                 P. Erd\Hos and   
                   R. L. Graham   On the Prime Factors of \binom(n,k)  . . 348--352
                R. B. McQuistan   Mixed Nearest Neighbor Degeneracy for
                                  Particles on a One-Dimensional Lattice
                                  Space  . . . . . . . . . . . . . . . . . 353--357
                 Leon Bernstein   A Formula for Fibonacci Numbers From a
                                  New Approach to Generalized Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 358--367
                      Anonymous   Letter to the Editor . . . . . . . . . . 368
               Clark Kimberling   Divisibility Properties of Recurrent
                                  Sequences  . . . . . . . . . . . . . . . 369--376
                   Kurt Fischer   The Fibonacci Sequence Encountered in
                                  Nerve Physiology . . . . . . . . . . . . 377--379
                  Robert Silber   A Fibonacci Property of Wythoff Pairs    380--384

Fibonacci Quarterly
Volume 14, Number 5, December, 1976

              M. L. Glasser and   
                  M. S. Klamkin   On Some Inverse Tangent Summations . . . 385--387
                 M. C. Monzingo   A Note on the Golden Ellipse . . . . . . 388
                  Hansraj Gupta   A Direct Method of Obtaining
                                  Farey--Fibonacci Sequences . . . . . . . 389--390
                 M. G. Monzingo   On Consecutive Primitive Roots . . . . . 391
             David Lee Hilliker   On the Infinite Multinomial Expansion,
                                  II . . . . . . . . . . . . . . . . . . . 392--394
         V. E. Hoggatt, Jr. and   
              Marjorie Bicknell   Catalan and Related Sequences Arising
                                  from Inverses of Pascal's Triangle
                                  Matrices . . . . . . . . . . . . . . . . 395--404
           Bro. Basil Davis and   
             V. E. Hoggatt, Jr.   Exponentials and Bessel Functions  . . . 405, 418, 426
                  Helene Hedian   The Golden Section and the Artist  . . . 406--418
                Joseph Ercolano   Golden Sequences of Matrices with
                                  Application to Fibonacci Algebra . . . . 419--426
                     L. Carlitz   Some Sums of Multinomial Coefficients    427--438
                Morton Abramson   Restricted Combinations and Compositions 439--451
                      Bob Jones   Ode to Pascal's Triangle . . . . . . . . 452
         V. E. Hoggatt, Jr. and   
              Marjorie Bicknell   A Reciprocal Series of Fibonacci Numbers
                                  with Subscripts $ 2^n k $  . . . . . . . 453--454
         Verner E. Hoggatt, Jr.   Response . . . . . . . . . . . . . . . . 455
                   M. J. DeLeon   Pell's Equation and Pell Number Triples  456--460
            Krishnaswami Alladi   On Polynomials Generated by Triangular
                                  Arrays . . . . . . . . . . . . . . . . . 461--465
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 466--469
                  A. P. Hillman   Elementary Problems and Solutions  . . . 470--473
                      Anonymous   Volume Index . . . . . . . . . . . . . . 474


Fibonacci Quarterly
Volume 15, Number 1, February, 1977

                 C. C. Yalavigi   Residues of Generalized Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 1
         V. E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Composites and Primes Among Powers of
                                  Fibonacci Numbers, Increased or
                                  Decreased by One . . . . . . . . . . . . 2
         V. E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Divisibility by Fibonacci and Lucas
                                  Squares  . . . . . . . . . . . . . . . . 3--7
                John W. Jameson   Letter to the Editor . . . . . . . . . . 8
                     J. Spencer   An Elementary Proof of Kronecker's
                                  Theorem  . . . . . . . . . . . . . . . . 9--10
                Peter J. Slater   Fibonacci Numbers in the Count of
                                  Spanning Trees . . . . . . . . . . . . . 11--13
                      W. R. Utz   The Diophantine Equation $ (x_1 + x_2 +
                                  \cdots {} + x_n)^2 = x^3_1 + x^3_2 +
                                  \cdots {} + x^3_n $  . . . . . . . . . . 14
               Maurice Mignotte   An Application of W. Schmidt's Theorem
                                  Transcendental Numbers and Golden Number 15--16
                    W. E. Greig   The Reciprocal Period Law  . . . . . . . 17--20
                 A. K. Whitford   Binet's Formula Generalized  . . . . . . 21
             David Lee Hilliker   On the Multinomial Theorem . . . . . . . 22--24
                    H. W. Gould   A Fibonacci Formula of Lucas and its
                                  Subsequent Manifestations and
                                  Rediscoveries  . . . . . . . . . . . . . 25--29
         V. E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Numerator Polynomial Coefficient Arrays
                                  for Catalan and Related Sequence
                                  Convolution Triangles  . . . . . . . . . 30--34
                 Lawrence Somer   Fibonacci-Like Groups and Periods of
                                  Fibonacci-Like Sequences . . . . . . . . 35--40
               Douglas A. Fults   Solution of a Certain Recurrence
                                  Relation . . . . . . . . . . . . . . . . 41
        Krishnaswami Alladi and   
             V. E. Hoggatt, Jr.   On Tribonacci Numbers and Related
                                  Functions  . . . . . . . . . . . . . . . 42--45
                    W. E. Greig   Sums of Fibonacci Reciprocals  . . . . . 46--48
                     L. Carlitz   Fibonacci Notes --- 5. Zero-One
                                  Sequences Again  . . . . . . . . . . . . 49--56
                  Robert Silber   On the $N$-Canonical Fibonacci
                                  Representations of Order $N$ . . . . . . 57--66
                    H. W. Gould   A Rearrangement of Series Based on a
                                  Partition of the Natural Numbers . . . . 67--72
                 M. N. S. Swamy   A Formula for $ \sum_1^n F_k(x) y^{n -
                                  k} $ and its Generalization to
                                  $r$-bonacci Polynomials  . . . . . . . . 73--77
                     L. Carlitz   Some Sums Containing the Greatest
                                  Integer Function . . . . . . . . . . . . 78--84
                  Robert Silber   Wythoff's Nim and Fibonacci
                                  Representations  . . . . . . . . . . . . 85--88
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 89--92
                  A. P. Hillman   Elementary Problems and Solutions  . . . 93--96

Fibonacci Quarterly
Volume 15, Number 2, April, 1977

                 H. C. Williams   Properties of Some Functions Similar to
                                  Lucas Functions  . . . . . . . . . . . . 97--111
               Harvey J. Hinden   Phi Again: a Relationship Between the
                                  Golden Ratio and the Limit of a Ratio of
                                  Modified Bessel Functions  . . . . . . . 112, 152
           Gerald E. Bergum and   
         Verner E. Hoggatt, Jr.   Limits of Quotients for the Convolved
                                  Fibonacci Sequence and Related Sequences 113--115
                 B. J. Cerimele   Summation of Multiparameter Harmonic
                                  Series . . . . . . . . . . . . . . . . . 116, 144, 149, 172
         V. E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Fibonacci Convolution Sequences  . . . . 117--121
                 E. A. Parberry   Two Recursion Relations for $ F(F(n)) $  122
                Donald B. Small   A Matrix Sequence Associated with a
                                  Continued Fraction Expansion of a Number 123--130
     Verner E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Generalized Lucas Sequences  . . . . . . 131--139
           Stanley Bezuszka and   
                   Lou D'Angelo   An Application of Tribonacci Numbers . . 140--144
               Joseph Mandelson   Amateur Interests in the Fibonacci
                                  Series IV Calculation of Group Sizes of
                                  Residues of Moduli . . . . . . . . . . . 145--149
             C. C. Yalavigi and   
                  H. V. Krishna   Periodic Lengths of the Generalized
                                  Fibonacci Sequence Modulo $p$  . . . . . 150--152
        Krishnaswami Alladi and   
                  A. G. Shannon   On a Property of Consecutive
                                  Farey--Fibonacci Fractions . . . . . . . 153--154
               Doron Zeilberger   Sums of Products Involving Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 155
                  Walter Gerdes   Convergent Generalized Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 156--160
                O. R. Ainsworth   On Generating Functions  . . . . . . . . 161--163
                K. Joseph Davis   A Result in Analytic Number Theory . . . 164--165
             V. E. Hoggatt, Jr.   Additive Partition I . . . . . . . . . . 166
                   Barry Powell   Proof of a Special Case of Dirichlet's
                                  Theorem  . . . . . . . . . . . . . . . . 167--169
                   Ronald Evans   Diophantine Equations Involving the
                                  Greatest Integer Function  . . . . . . . 170--172
                Avery A. Morton   The Fibonacci Series and the Periodic
                                  Table of Elements  . . . . . . . . . . . 173--175
                    W. E. Greig   On Fibonacci and Triangular Numbers  . . 176--177
                  Chi-Leung Lau   The Periodic Generating Sequence . . . . 178--181
             V. E. Hoggatt, Jr.   Additive Partition II  . . . . . . . . . 182
                 Denton Hewgill   A Relationship Between Pascal's Triangle
                                  and Fermat's Numbers . . . . . . . . . . 183--184
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 185--188
                  A. P. Hillman   Elementary Problems and Solutions  . . . 189--192

Fibonacci Quarterly
Volume 15, Number 3, October, 1977

                April Scott and   
                Tom Delaney and   
             V. E. Hoggatt, Jr.   The Tribonacci Sequence  . . . . . . . . 193--200
                 W. Fred Lunnon   The Pascal Matrix  . . . . . . . . . . . 201--204
                     C. J. Park   Zero-One Sequences and Stirling Numbers
                                  of the Second Kind . . . . . . . . . . . 205--206
               W. D. Spears and   
             T. F. Higginbotham   On Powers of the Golden Ratio  . . . . . 207--208
              Stephan R. Cavior   Uniform Distribution for Prescribed
                                  Moduli . . . . . . . . . . . . . . . . . 209--210
         V. E. Hoggatt, Jr. and   
            Krishnaswami Alladi   Limiting Ratios of Convolved Recursive
                                  Sequences  . . . . . . . . . . . . . . . 211--214
               G. E. Bergum and   
             V. E. Hoggatt, Jr.   An Application of the Characteristic of
                                  the Generalized Fibonacci Sequence . . . 215--219
                    H. D. Allen   Metric Paper to Fall Short of ``Golden
                                  Mean'' . . . . . . . . . . . . . . . . . 220
                Blagoj S. Popov   Generating Functions for Powers of
                                  Certain Second-Order Recurrence
                                  Sequences  . . . . . . . . . . . . . . . 221--223
           Kenneth B. Stolarsky   A Set of Generalized Fibonacci Sequences
                                  Such That Each Natural Number Belongs to
                                  Exactly One  . . . . . . . . . . . . . . 224
         V. E. Hoggatt, Jr. and   
               Paul S. Bruckman   Periodic Continued Fraction
                                  Representations of Fibonacci-Type
                                  Irrationals  . . . . . . . . . . . . . . 225--229
               Paul S. Bruckman   Pi-Oh-MY!  . . . . . . . . . . . . . . . 230
                     C. J. Park   Zero-One Sequences and Stirling Numbers
                                  of the First Kind  . . . . . . . . . . . 231
              Guy A. R. Guillot   Problems . . . . . . . . . . . . . . . . 232
               George Berzsenyi   Gaussian Fibonacci Numbers . . . . . . . 233--235
               Paul S. Bruckman   Constantly Mean  . . . . . . . . . . . . 236
                        M. Deza   On Minimal Number of Terms in
                                  Representation of Natural Numbers as a
                                  Sum of Fibonacci Numbers . . . . . . . . 237
                    D. Beverage   Letter to the Editor . . . . . . . . . . 238
         V. E. Hoggatt, Jr. and   
            Krishnaswami Alladi   Compositions and Recurrence Relations II 239--244
                Ethan D. Bolker   A Topological Proof of a Well-Known Fact
                                  about Fibonacci Numbers  . . . . . . . . 245
                 L. Carlitz and   
               Richard Scoville   Zero-One Sequences and Fibonacci Numbers 246--253
              Guy A. R. Guillot   The Unified Number Theory  . . . . . . . 254
                  A. F. Horadam   Polynomials Associated with Chebyshev
                                  Polynomials of the First Kind  . . . . . 255--257
              Delano P. Wegener   Semi-Associates in $ Z[\sqrt {2}] $ and
                                  Primitive Pythagorean Triples  . . . . . 258--264
              Stephan R. Cavior   Uniform Distribution $ \pmod {m} $ of
                                  Recurrent Sequences  . . . . . . . . . . 265--267
                  A. G. Shannon   Tribonacci Numbers and Pascal's Pyramid  268
               Paul S. Bruckman   On Generating Functions with Composite
                                  Coefficients . . . . . . . . . . . . . . 269--275
                     L. Carlitz   Fibonacci Notes 6. A Generating Function
                                  for Halsey's Fibonacci Function  . . . . 276--280
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 281--284
                  A. P. Hillman   Elementary Problems and Solutions  . . . 285--288

Fibonacci Quarterly
Volume 15, Number 4, December, 1977

                  A. F. Horadam   Generating Identities for Generalized
                                  Fibonacci and Lucas Sequences  . . . . . 289--292
               Paul S. Bruckman   On the Evaluation of Certain Infinite
                                  Series by Elliptic Functions . . . . . . 293--310
                H. W. Gould and   
                  J. B. Kim and   
             V. E. Hoggatt, Jr.   Sequences Associated with $t$-Ary Coding
                                  of Fibonacci's Rabbits . . . . . . . . . 311--318
     Thomas B. Kirkpatrick, Jr.   Fibonacci Sequences and Additive
                                  Triangles of Higher Order and Degree . . 319--322
         V. E. Hoggatt, Jr. and   
                   G. E. Bergum   A Problem of Fermat and the Fibonacci
                                  Sequence . . . . . . . . . . . . . . . . 323--330
             Walter E. Beck and   
               Rudolph M. Najar   More Reduced Amicable Pairs  . . . . . . 331--332
              R. A. Brualdi and   
                       J. Csima   Fibonacci Sequence and Extremal
                                  Stochastic Matrices  . . . . . . . . . . 333--335
              Edward T. Frankel   Bell's Imperfect Perfect Numbers . . . . 336
             Walter E. Beck and   
               Rudolph M. Najar   Fixed Points of Certain Arithmetic
                                  Functions  . . . . . . . . . . . . . . . 337--341
                      Anonymous   Fibonacci Association Research
                                  Conference . . . . . . . . . . . . . . . 342
                    I. L. Iakin   Generalized Quaternions of Higher Order  343--345
                      Anonymous   Letter to the Editor . . . . . . . . . . 346
                 Peter Kiss and   
                 Bui Minh Phong   On the Connection Between the Rank of
                                  Apparition of a Prime $p$ in Fibonacci
                                  Sequence and the Fibonacci Primitive
                                  Roots  . . . . . . . . . . . . . . . . . 347--349
                    A. L. Iakin   Generalized Quaternions with Quaternion
                                  Components . . . . . . . . . . . . . . . 350--352
                   M. J. DeLeon   Fibonacci Primitive Roots and the Period
                                  of the Fibonacci Numbers Modulo $p$  . . 353--355
                    W. E. Greig   On Sums of Fibonacci-Type Reciprocals    356--358
           Stephen W. Smith and   
                 Dean B. Priest   Row and Rising Diagonal Sums for a Type
                                  of Pascal Triangle . . . . . . . . . . . 359--360
                      Anonymous   Addendum . . . . . . . . . . . . . . . . 361
                   J. W. Layman   Certain General Binomial--Fibonacci Sums 362--366
             V. E. Hoggatt, Jr.   A Note on the Summation of Squares . . . 367--369
       Brother Alfred Brousseau   Fibonacci Numbers in Diatoms?  . . . . . 370
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 371--374
                  A. P. Hillman   Elementary Problems and Solutions  . . . 375--377
                      Anonymous   Volume Index . . . . . . . . . . . . . . 378


Fibonacci Quarterly
Volume 16, Number 1, February, 1978

                  A. G. Shannon   Fibonacci and Lucas Numbers and the
                                  Complexity of a Graph  . . . . . . . . . 1--3
                    Hugo S. Sun   Embedding a Group in the $p$ th Powers   4
              Dean R. Hickerson   Identities Relating the Number of
                                  Partitions into an Even and Odd Number
                                  of Parts. II . . . . . . . . . . . . . . 5--6
               James E. Desmond   On the Existence of the Rank of
                                  Apparition of $m$ in the Lucas Sequence  7--10
                     L. Carlitz   Recurrences of the Third Order and
                                  Related Combinatorial Identities . . . . 11--18
               J. L. Brown, Jr.   Some Sequence-to-Sequence
                                  Transformations which Preserve
                                  Completeness . . . . . . . . . . . . . . 19--22
              Dean R. Hickerson   An Identity Relating Compositions and
                                  Partitions . . . . . . . . . . . . . . . 23--26
                  A. G. Shannon   On the Multiplication of Recursive
                                  Sequences  . . . . . . . . . . . . . . . 27--32
                  A. F. Horadam   Diagonal Functions . . . . . . . . . . . 33--36
                Douglas Hensley   Fibonacci Tiling and Hyperbolas  . . . . 37--40
           J. L. Brown, Jr. and   
             V. E. Hoggatt, Jr.   A Primer for the Fibonacci Numbers, Part
                                  XVI, The Central Column Sequence . . . . 41--46
             Joseph J. Heed and   
                  Lucille Kelly   Entry Points of the Fibonacci Sequence
                                  and the Euler $ \phi $ Function  . . . . 47--50
                    W. G. Brady   More on Benford's Law  . . . . . . . . . 51--52
       Brother Alfred Brousseau   Formula Development Through Finite
                                  Differences  . . . . . . . . . . . . . . 53--66
      Marjorie Bicknell-Johnson   A Golden Double Crostic  . . . . . . . . 67--69
                    M. D. Hendy   Stolarsky's Distribution of the Positive
                                  Integers . . . . . . . . . . . . . . . . 70--80
                  J. C. Butcher   On a Conjecture Concerning a Set of
                                  Sequences Satisfying the Fibonacci
                                  Difference Equation  . . . . . . . . . . 81--83
             Richard Austin and   
                    Richard Guy   Binary Sequences without Isolated Ones   84--85
               James E. Desmond   On the Equality of Periods of Different
                                  Moduli in the Fibonacci Sequence . . . . 86--87
                  A. P. Hillman   Elementary Problems and Solutions  . . . 88--91
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 92--96

Fibonacci Quarterly
Volume 16, Number 2, April, 1978

                   M. W. Bunder   More Fibonacci Functions . . . . . . . . 97--98
                  A. G. Shannon   Pellian Diophantine Sequences  . . . . . 99--102
                     L. Toscano   Some Results for Generalized Bernoulli,
                                  Euler, Stirling Numbers  . . . . . . . . 103--111
           Pamilla Graves Smith   Expansion  . . . . . . . . . . . . . . . 112
               G. E. Bergum and   
             V. E. Hoggatt, Jr.   A Combinatorial Problem Involving
                                  Recursive Sequences and Tridiagonal
                                  Matrices . . . . . . . . . . . . . . . . 113--117
              Peter G. Anderson   On the Formula $ \pi = 2 \sum \arccot
                                  f_{2k + 1} $ . . . . . . . . . . . . . . 118
              M. B. Gregory and   
                  J. M. Metzger   Fibonacci Sine Sequences . . . . . . . . 119--120
               Rodney T. Hansen   General Identities for Linear Fibonacci
                                  and Lucas Summations . . . . . . . . . . 121--127
                  David Zeitlin   An Inequality for a Class of Polynomials 128
         V. E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   A Primer for the Fibonacci Numbers XVII:
                                  Generalized Fibonacci Numbers Satisfying
                                  $ u_{n + 1} u_{n - 1} - u_n^2 = \pm 1 $  128--137
                 L. Carlitz and   
             V. E. Hoggatt, Jr.   Generalized Eulerian Numbers and
                                  Polynomials  . . . . . . . . . . . . . . 138--146
                  A. F. Horadam   Wythoff Pairs  . . . . . . . . . . . . . 147--151
             Raymond E. Whitney   Geometric Sequences and the Initial
                                  Digit Problem  . . . . . . . . . . . . . 152--153
                      Anonymous   Addenda to Advanced Problems and
                                  Solutions  . . . . . . . . . . . . . . . 154
                Burton W. Jones   A Second Variation on a Problem of
                                  Diophantus and Davenport . . . . . . . . 155--165
                    W. E. Greig   On Generalized $ G_{j, k} $ Numbers  . . 166--170
                     F. A. Zenz   The Fluid Mechanics of Bubbling Beds . . 171--183
                  A. P. Hillman   Elementary Problems and Solutions  . . . 184--187
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 188--192

Fibonacci Quarterly
Volume 16, Number 3, June, 1978

         Robert E. Dressler and   
                    Louis Pigno   Interpolation of Fourier Transforms on
                                  Sums of Fibonacci Numbers  . . . . . . . 193--194
         Robert E. Dressler and   
                    Louis Pigno   Topological, Measure Theoretic and
                                  Analytic Properties of the Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 195--197
            Donald E. Knuth and   
            Michael S. Paterson   Identities from Partition Involutions    198--212
                  A. S. Gladwin   Expansion of the Fibonacci Number $ F_{n
                                  m} $ in $n$ th Powers of Fibonacci or
                                  Lucas Numbers  . . . . . . . . . . . . . 213--215
                Leonard Carlitz   Some Polynomials Related to Fibonacci
                                  and Eulerian Numbers . . . . . . . . . . 216--226
                Leonard Carlitz   A Recurrence Suggested by a
                                  Combinatorial Problem  . . . . . . . . . 227--242
                Leonard Carlitz   Some Remarks on a Combinatorial Identity 243--248
                Leonard Carlitz   Enumeration of Certain Weighted
                                  Sequences  . . . . . . . . . . . . . . . 249--254
                Leonard Carlitz   The Number of Derangements of a Sequence
                                  with Given Specification . . . . . . . . 255--258
                Leonard Carlitz   Enumeration of Permutations by Sequences 259--268
                  Walter Gerdes   Generalized Tribonacci Numbers and Their
                                  Convergent Sequences . . . . . . . . . . 269--275
                  Paul Cull and   
             Jeffery De Curtins   Knight's Tour Revisited  . . . . . . . . 276--284
           Gerald E. Bergum and   
         Verner E. Hoggatt, Jr.   A Family of Tridiagonal Matrices . . . . 285--288

Fibonacci Quarterly
Volume 16, Number 4, August, 1978

     Verner E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Properties of Generating Functions of a
                                  Convolution Array  . . . . . . . . . . . 289--295
                 O. D. Anderson   Some More Pattern from Pascal's Triangle 296--301
                  Marion Beiter   Coefficients of the Cyclotomic
                                  Polynomial $ F_{3qr}(x) $  . . . . . . . 302--306
               J. L. Brown, Jr.   Simplified Proof of a Greatest Integer
                                  Function Theorem . . . . . . . . . . . . 307--309
                A. Eswarathasan   On Square Pseudo-Fibonacci Numbers . . . 310--314
                 Joseph De Vita   Fibonacci, Insects, and Flowers  . . . . 315--317
              Rosalind Guaraldo   On the Density of the Image Sets of
                                  Certain Arithmetic Functions --- I . . . 318--326
                   E. E. Guerin   Matrices and Convolutions of Arithmetic
                                  Functions  . . . . . . . . . . . . . . . 327--334
      James M. Suttenfield, Jr.   A New Series . . . . . . . . . . . . . . 335--343
           Marcellus E. Waddill   Some Properties of a Generalized
                                  Fibonacci Sequence Modulo $m$  . . . . . 344--353
                 Leon Bernstein   An Invariant for Combinatorial
                                  Identities . . . . . . . . . . . . . . . 354--369
                  E. M. Horadam   Solved, Semi-Solved, and Unsolved
                                  Problems in Generalized Integers: a
                                  Survey . . . . . . . . . . . . . . . . . 370--380
                  S. P. Mohanty   The Number of Primes is Infinite . . . . 381--384

Fibonacci Quarterly
Volume 16, Number 5, October, 1978

         V. E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Convolution Arrays for Jacobsthal and
                                  Fibonacci Polynomials  . . . . . . . . . 385--402
                   Andrew Vince   The Fibonacci Sequence Modulo $N$  . . . 403--406
                J. A. H. Hunter   Congruent Primes of Form $ (8 r + 1) $   407--410
                Leonard Carlitz   Some Classes of Fibonacci Sums . . . . . 411--425
      Marjorie Bicknell-Johnson   Fibonacci Chromotology or How to Paint
                                  Your Rabbit  . . . . . . . . . . . . . . 426--427
              Rosalind Guaraldo   On the Density of the Image Sets of
                                  Certain Arithmetic Functions --- II  . . 428--434
   Helaman Rolfe Pratt Ferguson   The Fibonacci Pseudogroup,
                                  Characteristic Polynomials and
                                  Eigenvalues of Tridiagonal Matrices,
                                  Periodic Linear Recurrence Systems and
                                  Application to Quantum Mechanics . . . . 435--446
              Leonard E. Fuller   Vectors Whose Elements Belong to a
                                  Generalized Fibonacci Sequence . . . . . 447--450
                    Ray Steiner   On $N$ th Powers in the Lucas and
                                  Fibonacci Series . . . . . . . . . . . . 451--458
                   Jim Flanigan   Generalized Two-Pile Fibonacci Nim . . . 459--469
                    Ray Steiner   On $k$ th-Power Numerical Centers  . . . 470--471
         V. E. Hoggatt, Jr. and   
                  A. P. Hillman   A Property of Wythoff Pairs  . . . . . . 472
                  A. P. Hillman   Elementary Problems and Solutions  . . . 473--476
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 477--480

Fibonacci Quarterly
Volume 16, Number 6, December, 1978

              Rosalind Guaraldo   On the Density of the Image Sets of
                                  Certain Arithmetic Functions --- III . . 481--487
                    H. W. Gould   Evaluation of Sum of Convolved Powers
                                  Using Stirling and Eulerian Numbers  . . 488--496
                 Heiko Harborth   $b$-Adic Numbers in Pascal's Triangle
                                  Modulo $b$ . . . . . . . . . . . . . . . 497--500
         V. E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Divisibility Properties of Polynomials
                                  in Pascal's Triangle . . . . . . . . . . 501--512
                    Paul Larson   The Golden Section in the Earliest
                                  Notated Western Music  . . . . . . . . . 513--514
                Neville Robbins   On Fibonacci Numbers Which are Powers    515--517
                  B. de La Rosa   Primes, Powers, and Partitions . . . . . 518--522
                    G. L. Cohen   On Odd Perfect Numbers . . . . . . . . . 523--526
                   Irving Adler   A Simple Continued Fraction Represents a
                                  Mediant Nest of Intervals  . . . . . . . 527--529
                    W. E. Greig   Folded Sequences and Bode's Problem  . . 530--538
           Mark Finkelstein and   
                 Robert Whitley   Fibonacci Numbers in Coin Tossing
                                  Sequences  . . . . . . . . . . . . . . . 539--540
               Clark Kimberling   Strong Divisibility Sequences with
                                  Nonzero Initial Term . . . . . . . . . . 541--543
                      W. Herget   Minimum Periods Modulo $n$ for Bernoulli
                                  Numbers  . . . . . . . . . . . . . . . . 544--547
                  Hansraj Gupta   The Rank-Vector of a Partition . . . . . 548--551
                  Hansraj Gupta   The Andrews Formula for Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 552--554
                    H. W. Gould   Operational Formulas for Unusual
                                  Fibonacci Series . . . . . . . . . . . . 555--560
               Harvey J. Hindin   A Figurate Number Curiosity: Every
                                  Integer is a Quadratic Function of a
                                  Figurate Number  . . . . . . . . . . . . 561
                  A. P. Hillman   Elementary Problems and Solutions  . . . 562--565
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 566--569
                      Anonymous   Volume Index . . . . . . . . . . . . . . 570


Fibonacci Quarterly
Volume 17, Number 1, February, 1979

      Marjorie Bicknell-Johnson   Pythagorean Triples Containing Fibonacci
                                  Numbers: Solution for $ F_n^2 \pm F_k^2
                                  = K^2 $  . . . . . . . . . . . . . . . . 1--12
               Clark Kimberling   Strong Divisibility Sequences and Some
                                  Conjectures  . . . . . . . . . . . . . . 13--17
               Clark Kimberling   Greatest Common Divisors of Sums and
                                  Differences of Fibonacci, Lucas and
                                  Chebyshev Polynomials  . . . . . . . . . 18--22
            Stephen John Turner   Probability via the $N$ th Order
                                  Fibonacci-$T$ Sequence . . . . . . . . . 23--28
                Charles R. Wall   Some Congruences Involving Generalized
                                  Fibonacci Numbers  . . . . . . . . . . . 29--33
               F. W. Light, Jr.   Enumeration of Truncated Latin
                                  Rectangles . . . . . . . . . . . . . . . 34--36
                  John Boardman   The Normal Modes of a Hanging Oscillator
                                  of Order $N$ . . . . . . . . . . . . . . 37--39
                Norvald Midttun   Congruences for Certain Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 40--41
               Paul S. Bruckman   Some Divisibility Properties of
                                  Generalized Fibonacci Sequences  . . . . 42--48
           William J. O'Donnell   A Note on a Pell-Type Sequence . . . . . 49--50
                  A. Allard and   
                     P. Lecomte   Periods and Entry Points in Fibonacci
                                  Sequence . . . . . . . . . . . . . . . . 51--57
              Claudia Smith and   
         Verner E. Hoggatt, Jr.   Generating Functions of Central Values
                                  in Generalized Pascal Triangles  . . . . 58--66
           James C. Owings, Jr.   Solution of $ \binom (y + 1, x) = \binom
                                  (y, x + 1) $ in Terms of Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 67--68
          David A. Anderson and   
                Milton W. Loyer   The Diophantine Equation $ N b^2 = c^2 +
                                  N + 1 $  . . . . . . . . . . . . . . . . 69--70
                Joseph Ercolano   Matrix Generators of Pell Sequences  . . 71--76
           William J. O'Donnell   Two Theorems Concerning Hexagonal
                                  Numbers  . . . . . . . . . . . . . . . . 77--79
              B. H. Neumann and   
                   L. G. Wilson   Some Sequences like Fibonacci's  . . . . 80--83
         V. E. Hoggatt, Jr. and   
                  A. P. Hillman   Nearly Linear Functions  . . . . . . . . 84--89
                  A. P. Hillman   Elementary Problems and Solutions  . . . 90--93
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 94--96

Fibonacci Quarterly
Volume 17, Number 2, April, 1979

                James E. Joseph   Maximum Cardinalities for Topologies on
                                  Finite Sets  . . . . . . . . . . . . . . 97--102
            Christine Giuli and   
                   Robert Giuli   A Primer on Stern's Diatomic Sequence    103--107
                   Louis Comtet   A Multinomial Generalization of a
                                  Binomial Identity  . . . . . . . . . . . 108--110
                 Lawrence Somer   Which Second-Order Linear Integral
                                  Recurrences Have Almost All Primes as
                                  Divisors?  . . . . . . . . . . . . . . . 111--115
          William I. McLaughlin   Note on a Tetranacci Alternative to
                                  Bode's Law . . . . . . . . . . . . . . . 116--117
         V. E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Reflections Across Two and Three Glass
                                  Plates . . . . . . . . . . . . . . . . . 118--141
                A. Eswarathasan   On Pseudo-Fibonacci Numbers of the Form
                                  $ 2 S^2 $, Where $S$ is an Integer . . . 142--146
           Gerald E. Bergum and   
         Verner E. Hoggatt, Jr.   Infinite Series with Fibonacci and Lucas
                                  Polynomials  . . . . . . . . . . . . . . 147--150
             Edward M. Reingold   A Note on $3$-$2$ Trees  . . . . . . . . 151--157
                J. C. Ahuja and   
                 E. A. Enneking   Concavity Property and a Recurrence
                                  Relation for Associated Lah Numbers  . . 158--161
       J. C. de Almeida Azevedo   Fibonacci Numbers  . . . . . . . . . . . 162--164
                     Norman Woo   A Note on Basic $M$-Tuples . . . . . . . 165--167
            David W. Ballew and   
                Ronald C. Weger   Pythagorean Triples and Triangular
                                  Numbers  . . . . . . . . . . . . . . . . 168--171
               Haig E. Bohigian   Extensions of the W. Mnich Problem . . . 172--177
                    Harvey Cohn   Growth Types of Fibonacci and Markoff    178--183
                  A. P. Hillman   Elementary Problems and Solutions  . . . 184--187
                      Anonymous   Errata . . . . . . . . . . . . . . . . . 188
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 189--192

Fibonacci Quarterly
Volume 17, Number 3, October, 1979

                   Rada Higgins   More in the Theory of Sequences  . . . . 193--197
         V. E. Hoggatt, Jr. and   
  Marjorie Bicknell-Johnson and   
              Richard Sarsfield   A Generalization of Wythoff's Game . . . 198--211
           A. S. Adikesavan and   
               S. Narayanaswami   A Modification of Goka's Binary Sequence 212--219
                Leonard Carlitz   Restricted Multipartite Compositions . . 220--227
                    F. P. Sayer   The Recurrence Relation $ (r + 1)f_{r +
                                  1} = x f_r^\prime + (K - r + 1) x^2 f_{r
                                  - 1} $ . . . . . . . . . . . . . . . . . 228--238
           Jean-Pierre Gallinar   Fibonacci Ratio in a Thermodynamical
                                  Case . . . . . . . . . . . . . . . . . . 239--240
                      H. S. Sun   On Groups Generated by the Squares . . . 241--245
            Christine Giuli and   
                   Robert Giuli   A Primer on Stern's Diatomic Sequence
                                  --- II . . . . . . . . . . . . . . . . . 246--247
                  A. F. Horadam   Sums of Products: An Extension . . . . . 248--249
                Murray Hochberg   A Conjecture in Game Theory  . . . . . . 250--252
               Louis W. Shapiro   The Cycle of Six . . . . . . . . . . . . 253--258
            Arnold L. Rosenberg   Profile Numbers  . . . . . . . . . . . . 259--263
              Claudia Smith and   
         Verner E. Hoggatt, Jr.   A Study of the Maximal Values in
                                  Pascal's Quadrinomial Triangle . . . . . 264--268
              Peter Heichelheim   The Study of Positive Integers $ (a, b)
                                  $ Such that $ a b + 1 $ is a Square  . . 269--274
                Frederick Stern   Absorption Sequences . . . . . . . . . . 275--280
                  A. P. Hillman   Elementary Problems and Solutions  . . . 281--285
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 286--288

Fibonacci Quarterly
Volume 17, Number 4, December, 1979

               Gerald Weinstein   An Algorithm for Packing Complements of
                                  Finite Sets of Integers  . . . . . . . . 289--292
      Marjorie Bicknell-Johnson   Addenda to ``Pythagorean Triples
                                  Containing Fibonacci Numbers: Solutions
                                  for $ F_n^2 \pm F_k^2 = K^2 $''  . . . . 293
              A. G. Shannon and   
                  A. F. Horadam   Special Recurrence Relations Associated
                                  with the Sequence $ \{ w_n(a, b; p, q)
                                  \} $ . . . . . . . . . . . . . . . . . . 294--298
                M. E. Cohen and   
                         H. Sun   On Some Extensions of the Wang--Carlitz
                                  Identity . . . . . . . . . . . . . . . . 299--305
         V. E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Representations of Integers in Terms of
                                  Greatest Integer Functions and the
                                  Golden Section Ratio . . . . . . . . . . 306--317
            Christine Giuli and   
                   Robert Giuli   A Primer on Stern's Diatomic Sequence:
                                  Part III: Additional Results . . . . . . 318--320
                Leonard Carlitz   Restricted Compositions II . . . . . . . 321--327
                  A. F. Horadam   Chebyshev and Fermat Polynomials for
                                  Diagonal Functions . . . . . . . . . . . 328--332
               Joseph Arkin and   
         V. E. Hoggatt, Jr. and   
                  E. G. Strasus   On Euler's Solution of a Problem of
                                  Diophantus . . . . . . . . . . . . . . . 333--339
            T. Antony Davis and   
                Rudolf Altevogt   Golden Mean of the Human Body  . . . . . 340--343
                  A. G. Shannon   A Recurrence Relation for Generalized
                                  Multinomial Coefficients . . . . . . . . 344--346
                  A. G. Shannon   Generalized Fibonacci Numbers as
                                  Elements of Ideals . . . . . . . . . . . 347--348
                  A. G. Shannon   A Generalization of Hilton's Partition
                                  of Horadam's Sequences . . . . . . . . . 349--357
                Graham Lord and   
                 Herve G. Morin   Degeneracy of Transformed Complete
                                  Sequences  . . . . . . . . . . . . . . . 358--360
              Susumu Morito and   
               Harvey M. Salkin   Finding the General Solution of a Linear
                                  Diophantine Equation . . . . . . . . . . 361--368
                  A. P. Hillman   Elementary Problems and Solutions  . . . 369--373
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 374--378
                      Anonymous   Index of Advanced Problems . . . . . . . 379
                      Anonymous   Volume Index . . . . . . . . . . . . . . 380


Fibonacci Quarterly
Volume 18, Number 1, February, 1980

                  John A. Ewell   Recurrences for Two Restricted Partition
                                  Function . . . . . . . . . . . . . . . . 1--2
                  A. F. Horadam   Extensions of a Paper on Diagonal
                                  Functions  . . . . . . . . . . . . . . . 3--8
                    J. S. Frame   Factors of the Binomial Circulant
                                  Determinant  . . . . . . . . . . . . . . 9--23
                 Ronald C. Read   A Note on Tiling Rectangles with
                                  Dominoes . . . . . . . . . . . . . . . . 24--27
           Gerald E. Bergum and   
         Verner E. Hoggatt, Jr.   Some Extensions of Wythoff Pair
                                  Sequences  . . . . . . . . . . . . . . . 28--32
                  F. R. Baudert   The Apollonius Problem . . . . . . . . . 33
                L. A. G. Dresel   Letter to the Editor . . . . . . . . . . 34
               W. G. Waller and   
               Mahadev Banerjee   Summation of the Series $ y^n + (y +
                                  1)^n + \cdots {} + x^n $ . . . . . . . . 35
              Claudia Smith and   
         Verner E. Hoggatt, Jr.   Roots of $ (H - L) / 15 $ Recurrence
                                  Equations in Generalized Pascal
                                  Triangles  . . . . . . . . . . . . . . . 36--42
              A. G. T. Babu and   
                  Wei Shen Hsia   A Note on the Multiplication of Two $ 3
                                  \times 3 $ Fibonacci-Rowed Matrices  . . 43
                  T. E. Stanley   Powers of the Period Function for the
                                  Sequence of Fibonacci Numbers  . . . . . 44
                  T. E. Stanley   Some Remarks on the Periodicity of the
                                  Sequence of Fibonacci Numbers --- II . . 45--46
                   Steven Kahan   Mutually Counting Sequences  . . . . . . 47--50
         V. E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Multisection of the Fibonacci
                                  Convolution Array and Generalized Lucas
                                  Squence  . . . . . . . . . . . . . . . . 51--57
                Leonard Carlitz   Some Restricted Multiple Sums  . . . . . 58--65
                Leonard Carlitz   Some Remarks on the Bell Numbers . . . . 66--72
                  A. G. Shannon   Some Lacunary Recurrence Relations . . . 73--79
     Verner E. Hoggatt, Jr. and   
                     Hugh Edgar   Another Proof that $ \phi (F_n) \equiv 0
                                  \bmod 4 $ for All $ n > 4 $ . . . . . . . 80--81
               David L. Russell   Letter to the Editor . . . . . . . . . . 82
                      Anonymous   Corrections  . . . . . . . . . . . . . . 82--83
                  A. P. Hillman   Elementary Problems and Solutions  . . . 84--89
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 90--96

Fibonacci Quarterly
Volume 18, Number 2, April, 1980

         V. E. Hoggatt, Jr. and   
                  A. P. Hillman   Recursive, Spectral, and Self-Generating
                                  Sequences  . . . . . . . . . . . . . . . 97--103
                 Gary L. Mullen   Local Permutation Polynomials Over $ Z_p
                                  $  . . . . . . . . . . . . . . . . . . . 104--107
               Clark Kimberling   Generalized Cyclotomic Polynomials,
                                  Fibonacci Cyclotomic Polynomials, and
                                  Lucas Cyclotomic Polynomials . . . . . . 108--125
              Leonard E. Fuller   Geometric Recurrence Relation  . . . . . 126--128
              Leonard E. Fuller   Representations for $ r, s $ Recurrence
                                  Relations  . . . . . . . . . . . . . . . 129--134
                    Sahib Singh   Thoro's Conjecture and Allied
                                  Divisibility Property of Lucas Numbers   135--136
                Neville Robbins   A Class of Solutions of the Equation $
                                  \sigma (n) = 2 n + t $ . . . . . . . . . 137--146
                     L. Carlitz   Weighted Stirling Numbers of the First
                                  and Second Kind --- I  . . . . . . . . . 147--162
            O. R. Ainsworth and   
          Joseph E. Morris, Jr.   A Property of Quasi-Orthogonal
                                  Polynomials  . . . . . . . . . . . . . . 163--164
           Andrzej Wi\keckowski   On Some Systems of Diophantine equations
                                  Including the Algebraic Sum of
                                  Triangular Numbers . . . . . . . . . . . 165--169
               Joseph Arkin and   
         V. E. Hoggatt, Jr. and   
                   E. G. Straus   On Euler's Solution to a Problem of
                                  Diophantus --- II  . . . . . . . . . . . 170--176
                     L. Carlitz   Fibonacci Notes 6. Zero-One Sequence
                                  Once More  . . . . . . . . . . . . . . . 177--184
                      Anonymous   Book Announcement  . . . . . . . . . . . 185
                  A. P. Hillman   Elementary Problems and Solutions  . . . 186--189
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 190--192

Fibonacci Quarterly
Volume 18, Number 3, October, 1980

               Clark Kimberling   Generating Functions of Linear
                                  Divisibility Sequences . . . . . . . . . 193--207
                 Gary L. Mullen   Local Permutation Polynomials in Three
                                  Variables over $ Z_p $ . . . . . . . . . 208--213
                Mordechai Lewin   Some Combinatorial Identities  . . . . . 214--219
             V. E. Hoggatt, Jr.   Additive Partitions of the Positive
                                  Integers . . . . . . . . . . . . . . . . 220--225
                    G. Kreweras   The Number of More or Less ``Regular''
                                  Permutations . . . . . . . . . . . . . . 226--228
                Aaron B. Budgor   Star Polygons, Pascal's Triangle, and
                                  Fibonacci Numbers  . . . . . . . . . . . 229--230
                  Masaji Yamada   A Convergence Proof about an Integral
                                  Sequence . . . . . . . . . . . . . . . . 231--241
                     L. Carlitz   Weighted Stirling Numbers of the First
                                  and Second Kind --- II . . . . . . . . . 242--257
               Harvey J. Hindin   A Theorem Concerning Heptagonal Numbers  258
               Harvey J. Hindin   An Alternate Representation for Césaro's
                                  Fibonacci--Lucas Identity  . . . . . . . 259--260
             Jack M. Pollin and   
               I. J. Schoenberg   On the Matrix Approach to Fibonacci
                                  Numbers and the Fibonacci Pseudoprimes   261--267
                     G. Walther   Free Group and Fibonacci Sequence  . . . 268--272
                  A. P. Hillman   Elementary Problems and Solutions  . . . 273--279
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 280--288

Fibonacci Quarterly
Volume 18, Number 4, December, 1980

      Marjorie Bicknell-Johnson   In Memoriam --- Verner E. Hoggatt, Jr.   289
                 Anne Silva and   
         Verner E. Hoggatt, Jr.   Generalized Fibonacci Number . . . . . . 290--299
              Robert J. Epp and   
             Thomas S. Ferguson   A Note on Take-Away Games  . . . . . . . 300--302
                   F. T. Howard   Associated Stirling Numbers  . . . . . . 303--315
                 Lawrence Somer   The Divisibility Properties of Primary
                                  Lucas Recurrences with Respect to Primes 316--333
               Clark Kimberling   Mixing Properties of Mixed Chebyshev
                                  Polynomials  . . . . . . . . . . . . . . 334--340
             Michael Creutz and   
              R. M. Sternheimer   On the Convergence of Iterated
                                  Exponentiation --- I . . . . . . . . . . 341--346
                     L. Carlitz   The Number of Permutations with a Given
                                  Number of Sequences  . . . . . . . . . . 347--352
               Clark Kimberling   Four Composition Identities for
                                  Chebyshev Polynomials  . . . . . . . . . 353--369
                  A. P. Hillman   Elementary Problems and Solutions  . . . 370--374
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 375--381
                      Anonymous   Volume Index . . . . . . . . . . . . . . 382


Fibonacci Quarterly
Volume 19, Number 1, February, 1981

                  John Gill and   
                    Gary Miller   Newton's Method and Ratios of Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 1--3
                   M. J. DeLeon   A Characterization of the Fundamental
                                  Solutions to Pell's Equation $ u^2 - D
                                  v^2 = C $  . . . . . . . . . . . . . . . 4--5
                  Daniel Minoli   Structural Issues for Hyperperfect
                                  Numbers  . . . . . . . . . . . . . . . . 6--13
            Robert P. Backstrom   On Reciprocal Series Related to
                                  Fibonacci Numbers with Subscripts in
                                  Arithmetic Progression . . . . . . . . . 14--20
                  Masao Kishore   On the Equation $ \sigma (m) \sigma (n)
                                  = (m + n)^2 $  . . . . . . . . . . . . . 21--23
              Leonard E. Fuller   A Special $m$ th-Order Recurrence
                                  Relation . . . . . . . . . . . . . . . . 24--27
                D. W. Bange and   
           A. E. Barkauskas and   
                   P. J. Slater   Fibonacci Numbers in Tree Counts for
                                  Maximal Outerplane and Related Graphs    28--34
              Duane W. DeTemple   A New Angle on the Geometry of the
                                  Fibonacci Numbers  . . . . . . . . . . . 35--38
             J. C. Lagarias and   
                  D. P. Weisser   Fibonacci and Lucas Cubes  . . . . . . . 39--42
            Michael J. Magazine   The Number of States in a Class of
                                  Serial Queueing Systems  . . . . . . . . 43--44
             G. D. Prichett and   
            A. L. Ludington and   
                  J. F. Lapenta   The Determination of All Decadic
                                  Kaprekar Constants . . . . . . . . . . . 45--52
                     C. T. Long   The Decimal Expansion of $ 1 / 89 $ and
                                  Related Results  . . . . . . . . . . . . 53--55
                  Furio Alberti   A Root Property of a Psi-Type Equation   56
        Dennis C. Smolarski and   
           Leonard F. Klosinski   Recognition Algorithms for Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 57--60
        Robert S. Garfinkel and   
              Stanley M. Selkow   On Some Conjectures of Gould on the
                                  Parities of the Binomial Coefficients    61--63
              Leonard E. Fuller   Solutions for General Recurrence
                                  Relations  . . . . . . . . . . . . . . . 64--68
                M. E. Cohen and   
                      H. S. Sun   On Generating Functions and Double
                                  Series Expansions  . . . . . . . . . . . 69--73
                James V. Peters   An Equivalent Form of Benford's Law  . . 74--75
                   J. Arkin and   
                       K. Singh   A New Type Magic Latin $3$-Cube of Order
                                  Ten  . . . . . . . . . . . . . . . . . . 76--81
                   C. J. Harman   Complex Fibonacci Numbers  . . . . . . . 82--86
                  A. P. Hillman   Elementary Problems and Solutions  . . . 87--92
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 93--96

Fibonacci Quarterly
Volume 19, Number 2, April, 1981

              Brian Alspach and   
             Katherine Heinrich   Perfect Magic Cubes of Order $ 4^m $ . . 97--105
              Leonard E. Fuller   Generating Functions for Recurrence
                                  Relations  . . . . . . . . . . . . . . . 106--109
                 Lawrence Somer   The Residues of $ n^n $ Modulo $p$ . . . 110--116
                   Mary E. Gbur   A Generalization of a Problem of
                                  Stolarsky  . . . . . . . . . . . . . . . 117--120
                 J. Knopfmacher   Initial Digits in Number Theory  . . . . 121--126
                Robert Chen and   
                      Alan Zame   Fibonacci Numbers and Stopping Times . . 127--130
             Robert R. Hill and   
           Kenneth L. Goldstein   A Non-Fibonacci Search Plan with
                                  Fibonacci-Like Results . . . . . . . . . 131--136
                     Ira Gessel   Congruences for Bell and Tangent Numbers 137--143
           Julio R. Bastida and   
                   M. J. DeLeon   A Quadratic Property of Certain Linearly
                                  Recurrent Sequences  . . . . . . . . . . 144--146
               Julio R. Bastida   The Determination of Certain Fields of
                                  Invariants . . . . . . . . . . . . . . . 147--148
            Constantine Kliorys   Fibonacci Number Identities from
                                  Algebraic Units  . . . . . . . . . . . . 149--152
                   B. Gleijeses   Points at Mutual Integral Distances in $
                                  S^n $  . . . . . . . . . . . . . . . . . 153--159
                  Robert Schoen   Means, Circles, Right Triangles, and the
                                  Fibonacci Ratio  . . . . . . . . . . . . 160--162
                 Calvin T. Long   A Limited Arithmetic on Simple Continued
                                  Fractions --- III  . . . . . . . . . . . 163--174
         Lawrence C. Washington   Benford's Law for Fibonacci and Lucas
                                  Numbers  . . . . . . . . . . . . . . . . 175--177
                  Rasul A. Khan   A Simple Derivation of a Formula for $
                                  \sum_{k = 1}^n k^r $ . . . . . . . . . . 177--179
                     Shiro Ando   A Note on the Polygonal Numbers  . . . . 180--183
                  A. P. Hillman   Elementary Problems and Solutions  . . . 184--188
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 189--192

Fibonacci Quarterly
Volume 19, Number 3, August, 1981

                    Howard Eves   Hail to Thee, Blithe Spirit! . . . . . . 193--195
      Marjorie Bicknell-Johnson   Diagonal Sums in the Harmonic Triangle   196--199
                     L. Carlitz   Some Generalizations of a Binomial
                                  Identity Conjectured by Hoggatt  . . . . 200--207
                   Paul Erd\Hos   Some Extremal Problems on Divisibility
                                  Properties of Sequences of Integers  . . 208--213
                Lester H. Lange   Hommage \`a Archim\`ede  . . . . . . . . 214--218
               David A. Klarner   The Ubiquitous Rational Sequence . . . . 219--227
            Krishnaswami Alladi   On the Probability That $n$ and $ \Omega
                                  (n) $ are Relatively Prime . . . . . . . 228--232
                  A. P. Hillman   Proportional Allocation in Integers  . . 233--239
              A. F. Horadam and   
                  A. G. Shannon   Irrational Sequence-Generated Factors of
                                  Integers . . . . . . . . . . . . . . . . 240--249
                    H. W. Gould   A History of the Fibonacci $ {Q}
                                  $-Matrix and a Higher-Dimensional
                                  Problem  . . . . . . . . . . . . . . . . 250--256
                 Calvin T. Long   Some Divisibility Properties of Pascal's
                                  Triangle . . . . . . . . . . . . . . . . 257--263
             Karel De Bouv\`ere   Fibonacci Induced Groups and Their
                                  Hierarchies  . . . . . . . . . . . . . . 264--270
               Dmitri Thoro and   
                     Hugh Edgar   Exploring an Algorithm . . . . . . . . . 271--275
                Dave Logothetti   An Implicit Triangle of Numbers  . . . . 276--279
               Clark Kimberling   Fractional Parts $ (n r - s) $, Almost
                                  Arithmetic Sequences, and Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 280--284
                    Ray Steiner   On the ``$ Q X + 1 $ Problem,'' $Q$ Odd  285--288

Fibonacci Quarterly
Volume 19, Number 4, October, 1981

               Joseph Arkin and   
                   E. G. Straus   Orthogonal Latin Systems . . . . . . . . 289--292
                    Ray Steiner   On the ``$ Q X + 1 $ Problem,'' $Q$ Odd
                                  --- II . . . . . . . . . . . . . . . . . 293--296
               Bart F. Rice and   
                    Robert Ward   Binary Words with Minimal
                                  Autocorrelation at Offset One  . . . . . 297--312
                 William Squire   Fibonacci Cubature . . . . . . . . . . . 313
                  S. P. Mohanty   On a Problem of S. J. Bezuszka and M. J.
                                  Kenney on Cyclic Difference of Pairs of
                                  Integers . . . . . . . . . . . . . . . . 314--317
              John R. Burke and   
                William A. Webb   Asymptotic Behavior of Linear
                                  Recurrences  . . . . . . . . . . . . . . 318--321
                    A. L. Iakin   Anomalies in Higher-Order Conjugate
                                  Quaternions: a Clarification . . . . . . 322--325
             Michael Creutz and   
              R. M. Sternheimer   On the Convergence of Iterated
                                  Exponentiation --- II  . . . . . . . . . 326--335
               David L. Russell   Summation of Second-Order Recurrence
                                  Terms and Their Squares  . . . . . . . . 336--339
        Samuel S. Wagstaff, Jr.   Iterating the Product of Shifted Digits  340--346
                  Refael Hassin   On Maximizing Functions by Fibonacci
                                  Search . . . . . . . . . . . . . . . . . 347--350
                Donald J. Mintz   $ 2, 3 $ Sequence as Binary Mixture  . . 351--360
                Robert D. Girse   Identities for Certain Partition
                                  Functions and Their Differences  . . . . 361--368
                Neville Robbins   Fibonacci and Lucas Numbers of the Forms
                                  $ w^2 - 1, w^3 \pm 1 $ . . . . . . . . . 369--372
          Michael D. Hirschhorn   The Andrews Formula for Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 373--374
               J. H. Clarke and   
                  A. G. Shannon   Some Constraints on Fermat's Last
                                  Theorem  . . . . . . . . . . . . . . . . 375--376
                  A. P. Hillman   Elementary Problems and Solutions  . . . 377--380
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 381--384

Fibonacci Quarterly
Volume 19, Number 5, December, 1981

                Gregory Wulczyn   A Generalized Extension of Some
                                  Fibonacci--Lucas Identities to Primitive
                                  Unit Identities  . . . . . . . . . . . . 385--390
                Carl P. McCarty   A Formula for Tribonacci Numbers . . . . 391--392
              A. F. Horadam and   
                       S. Pethe   Polynomials Associated with Gegenbauer
                                  Polynomials  . . . . . . . . . . . . . . 393--397
                     L. Carlitz   Enumeration of Permutations by Sequences
                                  --- II . . . . . . . . . . . . . . . . . 398--405
                 Roger Fischler   How to Find the ``Golden Number''
                                  without Really Trying  . . . . . . . . . 406--409
                    A. L. Iakin   Extended Binet Forms for Generalized
                                  Quaternions of Higher Order  . . . . . . 410--413
          Richard H. Hudson and   
                   C. F. Winans   A Complete Characterization of the
                                  Decimal Fractions That Can be
                                  Represented as $ \sum 10^{-k (i + 1)}
                                  {F}_{ai} $, Where $ F_{ai} $ is the $ a
                                  i $ th Fibonacci Number  . . . . . . . . 414--421
                M. E. Cohen and   
                      H. S. Sun   On Some Extensions of the
                                  Meixner--Weisner Generating Functions    422--425
               Clark Kimberling   Almost Arithmetic Sequences and
                                  Complementary Systems  . . . . . . . . . 426--432
              Andrew M. Rockett   Sums of the Inverses of Binomial
                                  Coefficients . . . . . . . . . . . . . . 433--436
                     Hans Herda   Tiling the Plane with Incongruent
                                  Regular Polygons . . . . . . . . . . . . 437--439
                   M. W. Bunder   A New Definition of Division in Rings of
                                  Quotients of Euclidean Rings . . . . . . 440--446
                 Amin A. Muwafi   A Recursion-Type Formula for Some
                                  Partitions . . . . . . . . . . . . . . . 447--448
              Delano P. Wegener   Primitive Pythagorean Triples and the
                                  Infinitude of Primes . . . . . . . . . . 449
              Delano P. Wegener   An Application of Pell's Equation  . . . 450
           Ch. A. Charalambides   Central Factorial Numbers and Related
                                  Expansions . . . . . . . . . . . . . . . 451--455
                  G. Geldenhuys   On the Fibonacci Numbers Minus One . . . 456--457
                 Calvin T. Long   Pascal's Triangle Modulo $p$ . . . . . . 458--462
               Helmut Prodinger   On the Number of Fibonacci Partitions of
                                  a Set  . . . . . . . . . . . . . . . . . 463--465
                  A. P. Hillman   Elementary Problems and Solutions  . . . 466--469
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 470--476
                      Anonymous   Volume Index . . . . . . . . . . . . . . 477


Fibonacci Quarterly
Volume 20, Number 1, February, 1982

                   L. C. Botten   On the Use of Fibonacci Recurrence
                                  Relations in the Design of Long
                                  Wavelength Filters and Interferometers   1--6
             Michael Creutz and   
              R. M. Sternheimer   On the Convergence of Iterated
                                  Exponentiation --- III . . . . . . . . . 7--11
                 Steve Ligh and   
                      Pat Jones   Generalized Fermat and Mersenne Numbers  12--15
           Helmut Prodinger and   
                Robert F. Tichy   Fibonacci Numbers of Graphs  . . . . . . 16--20
                Neville Robbins   Some Identities and Divisibility
                                  Properties of Linear Second-Order
                                  Recursion Sequences  . . . . . . . . . . 21--23
                L. C. Eggan and   
             Peter C. Eggan and   
                J. L. Selfridge   Polygonal Products of Polygonal Numbers
                                  and the Pell Equation  . . . . . . . . . 24--27
            A. N. Philippou and   
                   A. A. Muwafi   Waiting for the $K$ th Consecutive
                                  Success and the Fibonacci Sequence of
                                  Order $K$  . . . . . . . . . . . . . . . 28--32
                William A. Webb   The Length of the Four-Number Game . . . 33--35
                     Robert Guy   Sums of Consecutive Integers . . . . . . 36--37
              A. G. Shannon and   
                  A. F. Horadam   Concerning a Paper by L. G. Wilson . . . 38--40
                K. Joseph Davis   A Generalization of the Dirichlet
                                  Product  . . . . . . . . . . . . . . . . 41--43
              A. F. Horadam and   
                  A. G. Shannon   Combinatorial Aspects of an Infinite
                                  Pattern of Integers  . . . . . . . . . . 44--50
                   Jim Flanigan   One-Pile Time and Size Dependent
                                  Take-Away Games  . . . . . . . . . . . . 51--58
     P. V. Satyanarayana Murthy   Fibonacci--Cayley Numbers  . . . . . . . 59--64
     P. V. Satyanarayana Murthy   Generalizations of Some Problems on
                                  Fibonacci Numbers  . . . . . . . . . . . 65
            Mark E. Kidwell and   
            Clifford M. Hurvich   A Variant of the Fibonacci Polynomials
                                  Which Arises in the Gambler's Ruin
                                  Problem  . . . . . . . . . . . . . . . . 66--72
                     Dan Kalman   Generalized Fibonacci Numbers by Matrix
                                  Methods  . . . . . . . . . . . . . . . . 73--76
                  J. O. Shallit   Explicit Descriptions of Some Continued
                                  Fractions  . . . . . . . . . . . . . . . 77--80
                Graeme L. Cohen   The Nonexistence of Quasiperfect Numbers
                                  of Certain Forms . . . . . . . . . . . . 81--84
              Wayne L. McDaniel   Representations of Every Integer as the
                                  Difference of Powerful Numbers . . . . . 85--87
                      Anonymous   Acknowledgments  . . . . . . . . . . . . 88
                  A. P. Hillman   Elementary Problems and Solutions  . . . 89--92
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 93--96

Fibonacci Quarterly
Volume 20, Number 2, May, 1982

                  Fook-Bun Wong   Ducci Processes  . . . . . . . . . . . . 97--105
                Wilfried Herget   Minimum Periods Modulo $n$ for Bernoulli
                                  Polynomials  . . . . . . . . . . . . . . 106--110
                Michael E. Mays   A Note on Fibonacci Primitive Roots  . . 111
                     L. Kuipers   A Property of the Fibonacci Sequence $
                                  (F_m), m = 0, 1, \ldots $  . . . . . . . 112--113
               David L. Russell   Notes on Sums of Products of Generalized
                                  Fibonacci Numbers  . . . . . . . . . . . 114--117
               W. R. Spickerman   Binets's Formula for the Tribonacci
                                  Sequence . . . . . . . . . . . . . . . . 118--120
                  A. F. Horadam   Pythagorean Triples  . . . . . . . . . . 121
         V. E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Composition Arrays Generated by
                                  Fibonacci Numbers  . . . . . . . . . . . 122--128
                   M. J. DeLeon   The Congruence $ x^n \equiv a \pmod {m}
                                  $, Where $ (n, \phi (m)) = 1 $ . . . . . 129--134
           Ch. A. Charalambides   On the Enumeration of Certain
                                  Compositions and Related Sequences of
                                  Numbers  . . . . . . . . . . . . . . . . 135--145
                   D. H. Fowler   A Generalization of the Golden Section   146--158
                  Robert Schoen   The Fibonacci Sequence in Successive
                                  Partitions of a Golden Triangle  . . . . 159--163
                  A. F. Horadam   Geometry of a Generalized Simson's
                                  Formula  . . . . . . . . . . . . . . . . 164--167
                Yasuichi Horibe   An Entropy View of Fibonacci Trees . . . 168--178
                  A. P. Hillman   Elementary Problems and Solutions  . . . 179--184
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 185--191
                      Anonymous   Errata . . . . . . . . . . . . . . . . . 192

Fibonacci Quarterly
Volume 20, Number 3, August, 1982

         V. E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Lexicographic Ordering and Fibonacci
                                  Representations  . . . . . . . . . . . . 193--218
              A. F. Horadam and   
                  E. M. Horadam   Roots of Recurrence-Generated
                                  Polynomials  . . . . . . . . . . . . . . 219--226
                 Leon Bernstein   Primitive Pythagorean Triples  . . . . . 227--241
                   K. C. Prasad   A Note on the Farey--Fibonacci Sequence  242--244
                William P. Risk   Thevenin Equivalents of Ladder Networks  245--247
                      Anonymous   Announcement of Fibonacci Research
                                  Conference . . . . . . . . . . . . . . . 248
                 Mauro Boscarol   A Property of Binomial Coefficients  . . 249--251
                  Joseph McHugh   Characterization of a Sequence . . . . . 252--255
                  John A. Ewell   Consequences of Watson's
                                  Quintuple-Product Identity . . . . . . . 256--262
                John Rabung and   
                     Jim Hyland   Analysis of a Betting System . . . . . . 263--278
                  A. P. Hillman   Elementary Problems and Solutions  . . . 279--283
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 284--288

Fibonacci Quarterly
Volume 20, Number 4, November, 1982

         V. E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Sequence Transforms Related to
                                  Representations Using Generalized
                                  Fibonacci Numbers  . . . . . . . . . . . 289--298
                 Richard Grassl   Self-Generating Systems  . . . . . . . . 299--310
                 Lawrence Somer   Possible Periods of Primary
                                  Fibonacci-Like Sequences with Respect to
                                  a Fixed Odd Prime  . . . . . . . . . . . 311--333
          Miomir S. Stankovi\'c   On a Convolution Product for the
                                  Transform Which Maps Derivatives into
                                  Differences  . . . . . . . . . . . . . . 334--342
              Elmer D. Robinson   Letter to the Editor . . . . . . . . . . 343
                Douglas Hensley   Eulerian Numbers and the Unit Cube . . . 344--348
                     Shiro Ando   On a System of Diophantine Equations
                                  Concerning the Polygonal Numbers . . . . 349--353
Geröcs László   Some Properties of Divisibility of
                                  Higher-Ordered Linear Recursive
                                  Sequences  . . . . . . . . . . . . . . . 354--359
                      John Kerr   The Existence of $K$ Orthogonal Latin
                                  $K$-Cubes of Order $6$ . . . . . . . . . 360--362
                 Phyllis Lefton   A Trinomial Discriminant Formula . . . . 363--365
                  A. P. Hillman   Elementary Problems and Solutions  . . . 366--371
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 372--380
                      Anonymous   Volume Index . . . . . . . . . . . . . . 381


Fibonacci Quarterly
Volume 21, Number 1, February, 1983

                      Anonymous   Acknowledgments  . . . . . . . . . . . . 2
                Neville Robbins   On Fibonacci and Lucas Numbers Which are
                                  Sums of Precisely Four Squares . . . . . 3--5
                  A. G. Shannon   Intersections of Second-Order Linear
                                  Recursive Sequences  . . . . . . . . . . 6--12
      Christopher D. Godsil and   
                 Reinhard Razen   A Property of Fibonacci and Tribonacci
                                  Numbers  . . . . . . . . . . . . . . . . 13--17
                Charles R. Wall   Unitary Harmonic Numbers . . . . . . . . 18--25
               P. G. Garcia and   
                     Steve Ligh   A Generalization of Euler's $ \phi
                                  $-Function . . . . . . . . . . . . . . . 26--28
               C. Georghiou and   
                A. N. Philippou   Harmonic Sums and the Zeta Function  . . 29--36
      Karel L. de Bouv\`ere and   
              Regina E. Lathrop   Injectivity of Extended Generalized
                                  Fibonacci Sequences  . . . . . . . . . . 37--52
               Clark Kimberling   One-Free Zeckendorf Sums . . . . . . . . 53--57
                    Shmuel Zaks   Generalized Profile Numbers  . . . . . . 58--61
               D. H. Lehmer and   
                    Emma Lehmer   Properties of Polynomials having
                                  Fibonacci Numbers for Coefficients . . . 62--64
          Ömer Egecio\uglu   The Parity of the Catalan Number via
                                  Lattice Paths  . . . . . . . . . . . . . 65--66
                  A. P. Hillman   Elementary Problems and Solutions  . . . 67--73
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 74--81

Fibonacci Quarterly
Volume 21, Number 2, May, 1983

           Andreas N. Philippou   A Note on the Fibonacci Sequence of
                                  Order $K$ and the Multinomial
                                  Coefficients . . . . . . . . . . . . . . 82--86
                     E. Ehrhart   Associated Hyperbolic and Fibonacci
                                  Identities . . . . . . . . . . . . . . . 87--96
           Wesley A. Darbro and   
         Georg von Tiesenhausen   Sequences Generated by Self-Replicating
                                  Systems  . . . . . . . . . . . . . . . . 97--106
                 M. G. Monzingo   Why are 8:18 and 10:09 Such Pleasant
                                  Times? . . . . . . . . . . . . . . . . . 107--110
                M. E. Cohen and   
                   D. L. Hudson   On Exponential Series Expansions and
                                  Convolutions . . . . . . . . . . . . . . 111--117
                Yasuichi Horibe   Notes on Fibonacci Trees and Their
                                  Optimality . . . . . . . . . . . . . . . 118--128
                Robert D. Girse   A Note on Fibonacci Cubature . . . . . . 129--131
            O. R. Ainsworth and   
                     J. Neggers   A Family of Polynomials and Powers of
                                  the Secant . . . . . . . . . . . . . . . 132--138
                  David R. Hale   A Variant of Nim and a Function Defined
                                  by Fibonacci Representation  . . . . . . 139--142
                Wayne M. Lawton   Kronecker's Theorem and Rational
                                  Approximation of Algebraic Numbers . . . 143--146
                  A. P. Hillman   Elementary Problems and Solutions  . . . 147--152
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 153--161

Fibonacci Quarterly
Volume 21, Number 3, August, 1983

                S. N. Singh and   
                      B. K. Rai   Properties of Some Extended Bernoulli
                                  and Euler Polynomials  . . . . . . . . . 162--172
                 Wilhelm Werner   Comment on Problem H-315 . . . . . . . . 173
             David W. Bange and   
          Anthony E. Barkauskas   Fibonacci Graceful Graphs  . . . . . . . 174--188
               Lee Erlebach and   
     William Yslas Vélez   Equiprobability in the Fibonacci
                                  Sequence . . . . . . . . . . . . . . . . 189--191
              Sána Josef   Lucas Triangle . . . . . . . . . . . . . 192--195
                 J. L. Hock and   
                R. B. McQuistan   The Occupational Degeneracy for $
                                  \lambda $-Bell Particles on a Saturated
                                  $ \lambda \times N $ Lattice Space . . . 196--202
               Narsingh Deo and   
                  Michael Quinn   Pascal Graphs and Their Properties . . . 203--214
                Neville Robbins   On Fibonacci Numbers Which are Powers:
                                  II . . . . . . . . . . . . . . . . . . . 215--218
        Peter Kirschenhofer and   
           Helmut Prodinger and   
                Robert F. Tichy   Fibonacci Numbers of Graphs: II  . . . . 219--228
              B. H. Neumann and   
                   L. G. Wilson   Corrigenda to ``Some Sequences Like
                                  Fibonacci's''  . . . . . . . . . . . . . 229
              A. P. Hillman and   
                  G. C. Padilla   Elementary Problems and Solutions  . . . 230--235
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 236--241

Fibonacci Quarterly
Volume 21, Number 4, November, 1983

          V. R. R. Uppuluri and   
                    S. A. Patil   Waiting Times and Generalized Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 242--249
                John H. Selleck   Powers of $T$ and Soddy Circles  . . . . 250--252
            Gerhard Rosenberger   On Some Divisibility Properties of
                                  Fibonacci and Related Numbers  . . . . . 253--258
                 John Brillhart   Letter to the editor: ``Properties of
                                  polynomials having Fibonacci numbers for
                                  coefficients'' [Fibonacci Quart. \bf 21
                                  (1983), no. 1, 62--64; MR 84f:10018a] by
                                  D. H. Lehmer and E. Lehmer . . . . . . . 259--259
                    H. N. Malik   On the Solution of $ \{ E^2 + (\lambda p
                                  - 2) E + (1 - \lambda p - \lambda^2 q)
                                  \}^m G_n = n^k $ by Expansions and
                                  Operators  . . . . . . . . . . . . . . . 260--265
                Neville Robbins   On Fibonacci Numbers of the Form $ P X^2
                                  $, Where $P$ is Prime  . . . . . . . . . 266--271
                W. J. A. Colman   A General Method for Determining a
                                  Closed Formula for the Number of
                                  Partitions of the Integer $n$ into $m$
                                  Positive Integers for Small Values of
                                  $m$  . . . . . . . . . . . . . . . . . . 272--284
                  Malvina Baica   $n$-Dimensional Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 285--301
                       T. C. Wu   Counting the Profiles in Domino Tiling   302--303
              Karolyn A. Morgan   The Fibonacci Sequence $ F_n $ Modulo $
                                  L_m $  . . . . . . . . . . . . . . . . . 304--305
              A. P. Hillman and   
              G. C. Padalla and   
                     C. R. Wall   Elementary Problems and Solutions  . . . 306--311
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 312--317
                      Anonymous   Conference Announcement  . . . . . . . . 318
                      Anonymous   Volume Index . . . . . . . . . . . . . . 319


Fibonacci Quarterly
Volume 22, Number 1, February, 1984

         V. E. Hoggatt, Jr. and   
      Marjorie Bicknell-Johnson   Additive Partition of the Positive
                                  Integers and Generalized Fibonacci
                                  Representations  . . . . . . . . . . . . 2--21
               Gerald E. Bergum   Addenda to Geometry of a Generalized
                                  Simson's Formula . . . . . . . . . . . . 22--28
                Alain J. Phares   General Solution of a Fibonacci-Like
                                  Recursion Relation and Applications  . . 29--41
                   Eduard Fuchs   Partitions, Compositions and Cyclomatic
                                  Number of Function Lattices  . . . . . . 42--49
              H. J. J. te Riele   Rules for Constructing Hyperperfect
                                  Numbers  . . . . . . . . . . . . . . . . 50--60
                       S. Pethe   On Lucas Polynomials and Some Summation
                                  Formulas for Chebychev Polynomial
                                  Sequences via Them . . . . . . . . . . . 61--69
         Oreste W. Lombardi and   
           Margaret A. Lombardi   The Golden Mean in the Solar System  . . 70--75
                 Kenji Nagasaka   Distribution Property of Recursive
                                  Sequences Defined by $ u_{n + 1} \equiv
                                  u_n + u_n^{-1} \pmod {m} $ . . . . . . . 76--81
                      Anonymous   Fibonacci Research Conference
                                  Announcement . . . . . . . . . . . . . . 82
                      Anonymous   Acknowledgments  . . . . . . . . . . . . 83
              A. P. Hillman and   
          Gloria C. Padilla and   
                Charles R. Wall   Elementary Problems and Solutions  . . . 84--88
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 89--97

Fibonacci Quarterly
Volume 22, Number 2, May, 1984

                 Lawrence Somer   The Generation of Higher-Order Linear
                                  Recurrences from Second-Order Linear
                                  Recurrences  . . . . . . . . . . . . . . 98--100
                 D. S. Meek and   
              G. H. J. Van Rees   The Solution of an Iterated Recurrence   101--104
      William I. McLaughlin and   
                Sylvia A. Lundy   Digit Functions of Integer Sequences . . 105--115
                 Joseph J. Heed   Wieferichs and the Problems $z(p^2) =
                                  z(p)$  . . . . . . . . . . . . . . . . . 116--118
               T. Cacoullos and   
                H. Papageorgiou   Multiparameter Stirling and $C$-Numbers:
                                  Recurrences and Applications . . . . . . 119--133
                       M. C. Er   The Matrices of Fibonacci Numbers  . . . 134--139
               Peter Hagis, Jr.   Lower Bounds for Unitary Multiperfect
                                  Numbers  . . . . . . . . . . . . . . . . 140--143
              Peter H. St. John   On the Asymptotic Proportions of Zeros
                                  and Ones in Fibonacci Sequences  . . . . 144--145
           Richard C. Bollinger   Fibonacci $k$-Sequences, Pascal-$T$
                                  Triangles, and $k$-In-a-Row Problems . . 146--151
                 Kent D. Boklan   The $n$-Number Game  . . . . . . . . . . 152--155
                   F. T. Howard   Weighted Associated Stirling Numbers . . 156--165
             Nadhla A. Al-Salam   Some Operational Formulas for the
                                  $q$-Laguerre Polynomials . . . . . . . . 166--170
                      Fred Dodd   The Number Field $ Q(\sqrt {5}) $ and
                                  the Fibonacci Numbers  . . . . . . . . . 171--177
                 Derek K. Chang   A Note on Apery Numbers  . . . . . . . . 178--180
                      Anonymous   Fibonacci Research Conference
                                  Announcement . . . . . . . . . . . . . . 181--182
              A. P. Hillman and   
          Gloria C. Padilla and   
                Charles R. Wall   Elementary Problems and Solutions  . . . 183--187
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 188--193

Fibonacci Quarterly
Volume 22, Number 3, August, 1984

                Ernst S. Selmer   A Note on Somer's Paper on Linear
                                  Recurrences  . . . . . . . . . . . . . . 194--195
             P. Ligomenides and   
                     R. Newcomb   Multilevel Fibonacci Conversion and
                                  Addition . . . . . . . . . . . . . . . . 196--203
                       M. C. Er   Sums of Fibonacci Numbers by Matrix
                                  Methods  . . . . . . . . . . . . . . . . 204--207
                Gonzalo R. Arce   Fibonacci and Related Sequences in
                                  Digital Filtering  . . . . . . . . . . . 208--217
                     E. Ehrhart   Euler's Integers . . . . . . . . . . . . 218--228
                    Pin-Yen Lin   The General Solution to the Decimal
                                  Fraction of Fibonacci Series . . . . . . 229--234
                Hugo S. Sun and   
                    M. E. Cohen   An Easy Proof of the Greenwood--Gleason
                                  Evaluation of the Ramsey Number $ R(3,
                                  3, 3) $  . . . . . . . . . . . . . . . . 235--238
                  A. G. Shannon   Some Asymptotic Properties of
                                  Generalized Fibonacci Numbers  . . . . . 239--243
                      Ian Bruce   A Modified Tribonacci Sequence . . . . . 244--246
              A. G. Shannon and   
              A. F. Horadam and   
               Gerald E. Bergum   Infinite Classes of Sequence-Generated
                                  Circles  . . . . . . . . . . . . . . . . 247--251
                   Naomi Levine   The Goose That Laid the Golden Egg . . . 252--254
              Glenn Hopkins and   
                 William Staton   Some Identities Arising from the
                                  Fibonacci Numbers of Certain Graphs  . . 255--258
                     Shiro Ando   On the Numbers of the Form $ a n^2 + b n
                                  $  . . . . . . . . . . . . . . . . . . . 259--260
                Blagoj S. Popov   On Certain Series of Reciprocals of
                                  Fibonacci Numbers  . . . . . . . . . . . 261--265
                     L. Carlitz   An Application of the Reciprocity
                                  Theorem for Dedekind Sums  . . . . . . . 266--269
                  A. F. Horadam   Coaxal Circles Associated with
                                  Recurrence-Generated Sequences . . . . . 270--272
              A. P. Hillman and   
          Gloria C. Padilla and   
                Charles R. Wall   Elementary Problems and Solutions  . . . 273--278
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 279--289

Fibonacci Quarterly
Volume 22, Number 4, November, 1984

                    C. S. Bisht   Some Congruence Properties of
                                  Generalized Lucas Integral Sequences . . 290--295
           Ch. A. Charalambides   On Weighted Stirling and Other Related
                                  Numbers and Some Combinatorial
                                  Applications . . . . . . . . . . . . . . 296--309
            Peter J. Downey and   
              Ralph E. Griswold   On a Family of Nested Recurrences  . . . 310--317
          Hartmut Höft and   
              Margret Höft   An Order-Theoretic Representation of the
                                  Polygonal Numbers  . . . . . . . . . . . 318--323
                  A. F. Horadam   Pell Numbers and Coaxal Circles  . . . . 324--326
           W. R. Spickerman and   
                   R. N. Joyner   Binet's Formula for the Recursive
                                  Sequence of Order $K$  . . . . . . . . . 327--331
                  J. O. Shallit   Some Predictable Pierce Expansions . . . 332--335
               J. E. Walton and   
                  A. F. Horadam   Generalized Pell Polynomials and Other
                                  Polynomials  . . . . . . . . . . . . . . 336--339
                Neville Robbins   On Pell Numbers of the form $ P X^2 $,
                                  Where $P$ is Prime . . . . . . . . . . . 340--348
                Charles R. Wall   A Fibonacci-Like Sequence of Abundant
                                  Numbers  . . . . . . . . . . . . . . . . 349
           Ourania Chrysaphinou   A Note on the Cycle Indicator  . . . . . 350--353
                  Robert Schoen   Harmonic, Geometric, and Arithmetic
                                  Means in Generalized Fibonacci Sequences 354--357
                   M. J. DeLeon   $n$ th Power Residues Congruent to One   358--364
           Peter Hagis, Jr. and   
                    Graham Lord   Letter to the Editor . . . . . . . . . . 365
                Charles R. Wall   Response . . . . . . . . . . . . . . . . 365
              J. O. Shallit and   
                   J. P. Yamron   On Linear Recurrences and Divisibility
                                  by Primes  . . . . . . . . . . . . . . . 366--368
              A. P. Hillman and   
              Gloria C. Padilla   Elementary Problems and Solutions  . . . 369--373
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 374--381
                      Anonymous   Volume Index . . . . . . . . . . . . . . 382


Fibonacci Quarterly
Volume 23, Number 1, February, 1985

                      Anonymous   Acknowledgments  . . . . . . . . . . . . 2
                Karel Zikan and   
              Edward Schmeichel   A Path Counting Problem in Digraphs  . . 3--6
              A. F. Horadam and   
               Bro. J. M. Mahon   Pell and Pell--Lucas Polynomials . . . . 7--20
     Krassimir T. Atanassov and   
       Liliya C. Atanassova and   
            Dimitar D. Sasselov   A New Perspective to the Generalization
                                  of the Fibonacci Sequence  . . . . . . . 21--28
        Günter Köhler   Generating Functions of Fibonacci-Like
                                  Sequences and Decimal Expansions of Some
                                  Fractions  . . . . . . . . . . . . . . . 29--35
              S. P. Mohanty and   
              A. M. S. Ramasamy   On $ P_{r, k} $ Sequences  . . . . . . . 36--44
                A. Kyriakoussis   A Congruence for a Class of Exponential
                                  Numbers  . . . . . . . . . . . . . . . . 45--48
                     A. J. Stam   Regeneration Points in Random
                                  Permutations . . . . . . . . . . . . . . 49--56
                       S. Pethe   On Lucas Fundamental Functions and
                                  Chebychev Polynomial Sequences . . . . . 57--65
                H. W. Gould and   
                    W. E. Greig   A Lucas Triangle Primality Criterion
                                  Dual to that of Mann--Shanks . . . . . . 66--69
                G. L. Cohen and   
                 R. J. Williams   Extensions of Some Results Concerning
                                  Odd Perfect Numbers  . . . . . . . . . . 70--76
                Charles R. Wall   On Triangular Fibonacci Numbers  . . . . 77--79
                Charles R. Wall   Guessing Exact Solutions . . . . . . . . 80
              Dorin Andrica and   
               Serban Buzeteanu   On the Reduction of a Linear Recurrence
                                  of Order $r$ . . . . . . . . . . . . . . 81--84
              A. P. Hillman and   
          Gloria C. Padilla and   
                Charles R. Wall   Elementary Problems and Solutions  . . . 85--88
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 89--97

Fibonacci Quarterly
Volume 23, Number 2, May, 1985

      Karel L. de Bouv\`ere and   
               Herta T. Freitag   First International Conference on
                                  Fibonacci Numbers and Their
                                  Applications: Two Reports  . . . . . . . 98--99
       Andreas N. Philippou and   
           Costas Georghiou and   
            George N. Philippou   Fibonacci-Type Polynomials of Order $K$
                                  with Probability Applications  . . . . . 100--105
                I. N. Baker and   
                   P. J. Rippon   A Note on Infinite Exponentials  . . . . 106--112
             Henry L. Alder and   
             Amin A. Muwafi and   
               Jeffrey K. Lewis   Euler's Partition Identity --- Are There
                                  Any More Like It?  . . . . . . . . . . . 113--119
               J. H. Clarke and   
                  A. G. Shannon   Some Generalized Lucas Sequences . . . . 120--125
            P. Horák and   
                       L. Skula   A Characterization of the Second-Order
                                  Strong Divisibility Sequences  . . . . . 126--132
                 M. G. Monzingo   On the Distribution of Consecutive
                                  Triples of Quadratic Residues and
                                  Quadratic Nonresidues and Related Topics 133--138
            Charles Laywine and   
                 Gary L. Mullen   Latin Cubes and Hypercubes of Prime
                                  Order  . . . . . . . . . . . . . . . . . 139--145
              R. M. Sternheimer   A Corollary to Iterated Exponentiation   146--148
                  Blake Ralston   Elemental Complete Composite Number
                                  Generators . . . . . . . . . . . . . . . 149--150
               Nicholas J. Rose   A Note on a Fibonacci Identity . . . . . 151--152
                Marshall Walker   Golden Cuboid Sequences  . . . . . . . . 153--154
        Tony Van Ravenstein and   
              Graham Winley and   
                 Keith Tognetti   A Property of Convergents to Golden Mean 155--157
                  O. W. McClung   Generators of Unitary Amicable Numbers   158--165
                 Mauro Boscarol   A Note on Binomial Coefficients and
                                  Chebyshev Polynomials  . . . . . . . . . 166--168
                  R. Dawson and   
                   G. Gabor and   
              R. Nowakowski and   
                       D. Wiens   Random Fibonacci-Type Sequences  . . . . 169--176
                P. W. Epasinghe   Euclid's Algorithm and the Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 177--179
               Gerald E. Bergum   Letter from the Editor . . . . . . . . . 180
              A. P. Hillman and   
          Gloria C. Padilla and   
                Charles R. Wall   Elementary Problems and Solutions  . . . 181--185
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 186--193

Fibonacci Quarterly
Volume 23, Number 3, August, 1985

         Vichian Laohakosol and   
                    Nit Roenrom   A Third-Order Analog of a Result of L.
                                  Carlitz  . . . . . . . . . . . . . . . . 194--198
           Jannis A. Antoniadis   Generalized Fibonacci Numbers and Some
                                  Diophantine Equations  . . . . . . . . . 199--213
                  A. F. Horadam   Zigzag Polynomials . . . . . . . . . . . 214--220
                 Calvin T. Long   On a Fibonacci Arithmetical Trick  . . . 221--231
          Hartmut Höft and   
              Margret Höft   A Fibonacci Sequence of Distributive
                                  Lattices . . . . . . . . . . . . . . . . 232--237
                Blagoj S. Popov   A Note on the Sums of Fibonacci and
                                  Lucas Polynomials  . . . . . . . . . . . 238--239
               G. E. Bergum and   
              Larry Bennett and   
              A. F. Horadam and   
                    S. D. Moore   Jacobsthal Polynomials and a Conjecture
                                  Concerning Fibonacci-Like Matrices . . . 240--248
                   F. T. Howard   Integers Related to the Bessel Function
                                  $ J_1 (z) $  . . . . . . . . . . . . . . 249--257
                   G. Baron and   
               F. T. Boesch and   
               H. Prodinger and   
                R. F. Tichy and   
                     J. F. Wang   The Number of Spanning Trees in the
                                  Square of a Cycle  . . . . . . . . . . . 258--264
       Kenneth B. Stolarsky and   
               Steven Greenbaum   A Ratio Associated with $ \Phi (x) = n $ 265--269
             Walter E. Beck and   
               Rudolph M. Najar   Hyperperfect and Unitary Hyperperfect
                                  Numbers  . . . . . . . . . . . . . . . . 270--275
                      Anonymous   Announcement . . . . . . . . . . . . . . 276
              A. P. Hillman and   
          Gloria C. Padilla and   
                Charles R. Wall   Elementary Problems and Solutions  . . . 277--281
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 282--289

Fibonacci Quarterly
Volume 23, Number 4, November, 1985

                Claude Levesque   On $m$-th Order Linear Recurrences . . . 290--293
                  A. F. Horadam   Gegenbauer Polynomials Revisited . . . . 294--299
           Jannis A. Antoniadis   Fibonacci and Lucas Numbers of the Form
                                  $ 3 z^2 + 1 $  . . . . . . . . . . . . . 300--307
      Marjorie Bicknell-Johnson   Generalized Wythoff Numbers form
                                  Simultaneous Fibonacci Representations   308--318
           Bro. J. M. Mahon and   
                  A. F. Horadam   Inverse Trigonometrical Summation
                                  Formulas Involving Pell Polynomials  . . 319--324
                  Georg Schrage   A Two-Dimensional Generalization of
                                  Grundy's Game  . . . . . . . . . . . . . 325--329
            Eric M. Neufeld and   
            Charles J. Colbourn   Lucas Sequences in Subgraph Counts of
                                  Series-Parallel and Related Graphs . . . 330--337
       Andreas N. Philippou and   
                Frosso S. Makri   Longest Success Runs and Fibonacci-Type
                                  Polynomials  . . . . . . . . . . . . . . 338--345
                      Anonymous   Announcement . . . . . . . . . . . . . . 346
        Marie-Louis Lavertu and   
                Claude Levesque   On Bernstein's Combinatorial Identities  347--355
                 Craig A. Tovey   Multiple Occurrences of Binomial
                                  Coefficients . . . . . . . . . . . . . . 356--358
              Michael Frenklach   Linear Recurrence Relations with
                                  Binomial Coefficients  . . . . . . . . . 359--363
                     Hans Herda   The Series of Prime Square Reciprocals   364--365
              C. A. Church, Jr.   Combinatorial Proof for a Sorting
                                  Problem Identity . . . . . . . . . . . . 366--368
               Arthur Barry and   
        Stanley Bezuszka, S. J.   A Fibonacci and Lucas Tannenbaum . . . . 369--370
              A. P. Hillman and   
          Gloria C. Padilla and   
                Charles R. Wall   Elementary Problems and Solutions  . . . 371--375
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 376--382
                      Anonymous   Volume Index . . . . . . . . . . . . . . 383


Fibonacci Quarterly
Volume 24, Number 1, February, 1986

             Talbot M. Katz and   
             Daniel I. A. Cohen   The First Digit Property for Exponential
                                  Sequences is Independent of the
                                  Underlying Distribution  . . . . . . . . 2--7
                  A. F. Horadam   Generalized Zigzag Polynomials . . . . . 8--16
                Blagoj S. Popov   Summation of Reciprocal Series of
                                  Numerical Functions of Second Order  . . 17--21
                  J. O. Shallit   Metric Theory of Pierce Expansions . . . 22--40
               Michael Filaseta   Newton's Method and Simple Continued
                                  Fractions  . . . . . . . . . . . . . . . 41--45
                   G. E. Bergum   Letter from the Editor . . . . . . . . . 46
                     I. J. Good   Skew Circulants and the Theory of
                                  Numbers  . . . . . . . . . . . . . . . . 47--60
                   J. C. Turner   On a Class of Knots with Fibonacci
                                  Invariant Numbers  . . . . . . . . . . . 61--66
                  John A. Ewell   On Two- and Four-Part Partitions of
                                  Numbers Each Part a Square . . . . . . . 67--69
              Dario Castellanos   Rapidly Converging Expansions with
                                  Fibonacci Coefficients . . . . . . . . . 70--82
                      Anonymous   Announcement . . . . . . . . . . . . . . 83
              A. P. Hillman and   
          Gloria C. Padilla and   
                Charles R. Wall   Elementary Problems and Solutions  . . . 84--87
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 88--97

Fibonacci Quarterly
Volume 24, Number 2, May, 1986

                      Anonymous   Acknowledgements . . . . . . . . . . . . 98
                 Shoichi Hirose   On Some Polygonal Numbers Which are, at
                                  the Same Time, the Sums, Differences,
                                  and Products of Two Other Polygonal
                                  Numbers  . . . . . . . . . . . . . . . . 99--105
             O. William McClung   Letter to the Editor . . . . . . . . . . 106
              R. M. Sternheimer   Some Results Concerning Pythagorean
                                  Triplets . . . . . . . . . . . . . . . . 107--128
             Werner Georg Nowak   On the Minimum of a Ternary Cubic Form   129--132
                      Tad White   On the Coefficients of a Recursion
                                  Relation for the Fibonacci Partition
                                  Function . . . . . . . . . . . . . . . . 133--137
                 Derek K. Chang   Higher-Order Fibonacci Sequences Modulo
                                  $M$  . . . . . . . . . . . . . . . . . . 138--139
           Richard C. Bollinger   A Note on Pascal-$T$ Triangles,
                                  Multinomial Coefficients, and Pascal
                                  Pyramids . . . . . . . . . . . . . . . . 140--143
                      Anonymous   Research Conference Announcement . . . . 144
                  A. W. Goodman   An Entire Function That Gives the
                                  Fibonacci Numbers at the Integers  . . . 145--149
                  John A. Ewell   On the Enumerator for Sums of Three
                                  Squares  . . . . . . . . . . . . . . . . 150--153
              Harlan R. Stevens   Bernoulli Numbers and Kummer's Criterion 154--159
                 Calvin T. Long   Discovering Fibonacci Identities . . . . 160--167
                   F. T. Howard   Explicit Formulas for Numbers of
                                  Ramanujan  . . . . . . . . . . . . . . . 168--175
                     I. J. Good   Skew Circulants and the Theory of
                                  Numbers: An Addendum . . . . . . . . . . 176--177
                 Derek K. Chang   On Fibonacci Binary Sequences  . . . . . 178--179
              A. P. Hillman and   
          Gloria C. Padilla and   
                Charles R. Wall   Elementary Problems and Solutions  . . . 180--184
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 185--193

Fibonacci Quarterly
Volume 24, Number 3, August, 1986

               James E. Desmond   Expansion of the Fibonacci Numbers $
                                  F_{m n + r} $ in the $m$ th Powers of
                                  Fibonacci or Lucas Numbers . . . . . . . 194--208
               Joseph W. Creely   Some Combinatorial Sequences . . . . . . 209--220
                  A. F. Horadam   Hypersurfaces Associated with Simson
                                  Formula Analogues  . . . . . . . . . . . 221--226
                  A. F. Horadam   Determinantal Hypersurfaces for Lucas
                                  Sequences of Order $r$, and a
                                  Generalization . . . . . . . . . . . . . 227--237
                  E. J. Farrell   On the Occurrences of Fibonacci
                                  Sequences in the Counting of Matchings
                                  in Linear Polygonal Chains . . . . . . . 238--246
                 J.-P. Gallinar   The Fibonacci Ratio in a Thermodynamical
                                  Problem: a Combinatorial Approach  . . . 247--250
                B. P. Sinha and   
                   S. Ghose and   
         B. B. Bhattacharya and   
                  P. K. Srimani   A Further Note on Pascal Graphs  . . . . 251--257
                 Derek K. Chang   On Fibonacci $k$-ary Trees . . . . . . . 258--262
                  Dean S. Clark   Fibonacci Numbers as Expected Values in
                                  a Game of Chance . . . . . . . . . . . . 263--267
                      Ian Bruce   Sequences Generated by Multiple
                                  Reflections  . . . . . . . . . . . . . . 268--272
               Paul S. Bruckman   A Relation for the Prime Distribution
                                  Function . . . . . . . . . . . . . . . . 273--276
              A. P. Hillman and   
          Gloria C. Padilla and   
                Charles R. Wall   Elementary Problems and Solutions  . . . 277--282
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 283--289

Fibonacci Quarterly
Volume 24, Number 4, November, 1986

           Bro. J. M. Mahon and   
                  A. F. Horadam   Matrix and Other Summation Techniques
                                  for Pell Polynomials . . . . . . . . . . 290--308
      Marjorie Bicknell-Johnson   Letter to the Editor . . . . . . . . . . 309
                  Hugh M. Edgar   On the Least Common Multiple of Some
                                  Binomial Coefficients  . . . . . . . . . 310--312
            Clarence B. Larison   Sidney's Series  . . . . . . . . . . . . 313--315
                  Gert Almkvist   A Solution to a Tantalizing Problem  . . 316--322
                J. M. H. Peters   Tenth Roots and the Golden Ratio . . . . 323--327
                     G. L. Chia   A Note Concerning the Number of
                                  Odd-Order Magic Squares  . . . . . . . . 328--331
              H. T. Freitag and   
                 G. M. Phillips   A Congruence Relation for Certain
                                  Recursive Sequences  . . . . . . . . . . 332--335
                Piero Filipponi   A Note on the Representation of Integers
                                  as a Sum of Distinct Fibonacci Numbers   336--343
              A. F. Horadam and   
                  A. P. Treweek   Simson's Formula and an Equation of
                                  Degree $ 24 $  . . . . . . . . . . . . . 344--346
          Charles Vanden Eynden   Differences between Squares and Powerful
                                  Numbers  . . . . . . . . . . . . . . . . 347--348
                 Calvin T. Long   A Note on Moessner's Process . . . . . . 349--355
               Howard J. Wilcox   Fibonacci Sequences of Period $n$ in
                                  Groups . . . . . . . . . . . . . . . . . 356--361
         Krassimir T. Atanassov   On a Second New Generalization of the
                                  Fibonacci Sequence . . . . . . . . . . . 362--365
              A. F. Horadam and   
                       S. Pethe   Euclidean Coordinates as Generalized
                                  Fibonacci Numbers Products . . . . . . . 366--370
              A. P. Hillman and   
          Gloria C. Padilla and   
                Charles R. Wall   Elementary Problems and Solutions  . . . 371--375
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 376--381
               R. Herz-Fischler   Letter to the Editor . . . . . . . . . . 382
                      Anonymous   Volume Index . . . . . . . . . . . . . . 383


Fibonacci Quarterly
Volume 25, Number 1, February, 1987

      Marjorie Bicknell-Johnson   A Short History of \booktitleThe
                                  Fibonacci Quarterly  . . . . . . . . . . 2--5
               Peter Hagis, Jr.   A Systematic Search for Unitary
                                  Hyperperfect Numbers . . . . . . . . . . 6--10
                   Steven Kahan   Cyclic Counting Trios  . . . . . . . . . 11--20
           Bro. J. M. Mahon and   
                  A. F. Horadam   Pell Polynomial Matrices . . . . . . . . 21--28
                Neville Robbins   Representing \binom(2n, n) as a Sum of
                                  Squares  . . . . . . . . . . . . . . . . 29--33
               R. A. Mollin and   
                    P. G. Walsh   On Nonsquare Powerful Numbers  . . . . . 34--37
                W. J. A. Colman   An Upper Bound for the General
                                  Restricted Partition Problem . . . . . . 38--44
           Bro. J. M. Mahon and   
                  A. F. Horadam   Ordinary Generating Functions for Pell
                                  Polynomials  . . . . . . . . . . . . . . 45--56
               Peter M. Higgins   The Naming of Popes and a Fibonacci
                                  Sequence in Two Noncommuting
                                  Indeterminates . . . . . . . . . . . . . 57--61
               Richard T. Bumby   Incredible Identities Revisited  . . . . 62--64
                  W. Aiello and   
                G. E. Hardy and   
                 M. V. Subbarao   On the Existence of $e$-Multiperfect
                                  Numbers  . . . . . . . . . . . . . . . . 65--71
                Jin-Zai Lee and   
                  Jia-Sheng Lee   A Complete Characterization of $B$-Power
                                  Fractions That can be Represented as
                                  Series of General $n$-Bonacci Numbers    72--75
              Wayne L. McDaniel   The Existence of Infinitely Many
                                  $k$-Smith Numbers  . . . . . . . . . . . 76--80
             Peter R. J. Asveld   A Family of Fibonacci-Like Sequences . . 81--83
                      Anonymous   Referees . . . . . . . . . . . . . . . . 84
              A. P. Hillman and   
          Gloria C. Padilla and   
                Charles R. Wall   Elementary Problems and Solutions  . . . 85--89
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 90--97

Fibonacci Quarterly
Volume 25, Number 2, May, 1987

               Herta T. Freitag   The Second International Conference on
                                  Fibonacci Numbers and Their
                                  Applications: a Memory-Laden Experience  98--99
                  A. G. Shannon   A. F. Horadam --- Ad Multos Annos  . . . 100--104
                      Anonymous   Third International Conference
                                  Announcement . . . . . . . . . . . . . . 105
               Br. J. Mahon and   
                  A. F. Horadam   A Constellation of Sequences of
                                  Generalized Pell Polynomials . . . . . . 106--110
                Jin-Zai Lee and   
                  Jia-Sheng Lee   Some Properties of the Generalization of
                                  the Fibonacci Sequence . . . . . . . . . 111--117
             Philip G. Engstrom   Sections, Golden and Not So Golden . . . 118--127
                S. B. Nandi and   
                    S. K. Dutta   On Associated and Generalized Lah
                                  Numbers and Applications to Discrete
                                  Distributions  . . . . . . . . . . . . . 128--136
                Thomas P. Dence   Ratios of Generalized Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 137--143
               Peter Hagis, Jr.   Bi-Unitary Amicable and Multiperfect
                                  Numbers  . . . . . . . . . . . . . . . . 144--150
           Evdokia Xekalaki and   
             John Panaretos and   
              Andreas Philippou   On Some Mixtures of Distributions of
                                  Order $k$  . . . . . . . . . . . . . . . 151--160
           Daniel A. Rawsthorne   Counting the ``Good'' Sequences  . . . . 161--162
              Richard H. Hudson   Convergence of Tribonacci Decimal
                                  Expansions . . . . . . . . . . . . . . . 163--170
              Graham Winley and   
             Keith Tognetti and   
            Tony van Ravenstein   A Property of Numbers Equivalent to the
                                  Golden Mean  . . . . . . . . . . . . . . 171--173
               Joseph W. Creely   The Length of a Two-Number Game  . . . . 174--179
              A. P. Hillman and   
          Gloria C. Padilla and   
                Charles R. Wall   Elementary Problems and Solutions  . . . 180--184
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 185--193

Fibonacci Quarterly
Volume 25, Number 3, August, 1987

           Bro. J. M. Mahon and   
                  A. F. Horadam   Exponential Generating Functions for
                                  Pell Polynomials . . . . . . . . . . . . 194--203
                Michael E. Mays   Iterating the Division Algorithm . . . . 204--213
                  R. B. McNeill   A Note on Divisibility Sequences . . . . 214--215
              J. M. Metzger and   
                    S. P. Kaler   A Note on the Pell Equation  . . . . . . 216--220
                 Lawrence Somer   On $r$ th-Order Recurrences  . . . . . . 221--224
              Wayne L. McDaniel   Powerful $k$-Smith Numbers . . . . . . . 225--228
               Clement Frappier   On the Derivatives of Composite
                                  Functions  . . . . . . . . . . . . . . . 229--239
          Thomas H. Hildebrandt   Letter to the Editor . . . . . . . . . . 240
László Tóth   A Note on a Generalization of Euler's $
                                  \Phi $ Function  . . . . . . . . . . . . 241--243
                      Anonymous   Third International Conference
                                  Announcement . . . . . . . . . . . . . . 244
           James C. Owings, Jr.   Solution of the System $ a^2 \equiv - 1
                                  \pmod {b} $, $ b^2 \equiv - 1 \pmod {a}
                                  $  . . . . . . . . . . . . . . . . . . . 245--249
               Sajal D. Das and   
                   Narsingh Deo   Rencontres Graphs: a Family of
                                  Bipartitie Graphs  . . . . . . . . . . . 250--262
              Anne L. Ludington   Transposable Integers in Arbitrary Bases 263--267
                Jin-Zai Lee and   
                  Jia-Sheng Lee   Some Properties of the Sequence $ \{
                                  W_n(a, b; p, q) \} $ . . . . . . . . . . 268--278
              A. P. Hillman and   
          Gloria C. Padilla and   
                Charles R. Wall   Elementary Problems and Solutions  . . . 279--283
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 284--289

Fibonacci Quarterly
Volume 25, Number 4, November, 1987

                      Anonymous   Third Annual Conference Announcement . . 290
              A. F. Horadam and   
               Bro. J. M. Mahon   Mixed Pell Polynomials . . . . . . . . . 291--299
                   Karl Dilcher   A Generalization of Fibonacci
                                  Polynomials and a Representation of
                                  Gegenbauer Polynomials of Integer Order  300--303
                   F. T. Howard   The Reciprocal of the Bessel Function $
                                  J_k(z) $ . . . . . . . . . . . . . . . . 304--311
                Charles R. Wall   On the Largest Odd Component of a
                                  Unitary Perfect Number . . . . . . . . . 312--316
                  A. K. Agarwal   A Note on $ n(x, y) $-Reflected Lattice
                                  Paths  . . . . . . . . . . . . . . . . . 317--319
        N. Balasubrahmanyan and   
            R. Sivaramakrishnan   Friendly-Pairs of Multiplicative
                                  Functions  . . . . . . . . . . . . . . . 320--321
         V. E. Hoggatt, Jr. and   
                    M. A. Owens   Hoggatt Sequences and Lexicographic
                                  Ordering . . . . . . . . . . . . . . . . 322--332
                 Steve Ligh and   
                Charles R. Wall   Functions of Non-Unitary Divisors  . . . 333--338
                Jin-Zai Lee and   
                  Jia-Sheng Lee   Some Properties of Binomial Coefficients 339--342
                Charles R. Wall   Analogs of Smith's Determinant . . . . . 343--345
                      L. C. Hsu   Generalized Stirling Number Pairs
                                  Associated with Inverse Relations  . . . 346--351
             Allan M. Krall and   
            Lance L. Littlejohn   A Curious Set of Numbers . . . . . . . . 352--355
        G. V. Milovanovi\'c and   
                G. Djordjevi\'c   On Some Properties of Humbert's
                                  Polynomials  . . . . . . . . . . . . . . 356--360
             Peter R. J. Asveld   Another Family of Fibonacci-Like
                                  Sequences  . . . . . . . . . . . . . . . 361--364
                  Sharon Kunoff   $ N! $ has the First Digit Property  . . 365--367
                  Jia-Sheng Lee   The $K$ th-Order Analog of a Result of
                                  L. Carlitz . . . . . . . . . . . . . . . 368--369
                  A. P. Hillman   Elementary Problems and Solutions  . . . 370--375
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 376--382
                      Anonymous   Volume Index . . . . . . . . . . . . . . 383


Fibonacci Quarterly
Volume 26, Number 1, February, 1988

                      Anonymous   Third International Conference
                                  Announcement . . . . . . . . . . . . . . 2
              A. F. Horadam and   
                  A. G. Shannon   Fibonacci and Lucas Curves . . . . . . . 3--13
                Jin-Zai Lee and   
                  Jia-Sheng Lee   A Note on the Generalized Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 14--19
                   S. Pethe and   
                  A. F. Horadam   Generalized Gaussian Lucas Primordial
                                  Functions  . . . . . . . . . . . . . . . 20--30
                 M. G. Monzingo   On Prime Divisors of Sequences of
                                  Integers Involving Squares . . . . . . . 31--32
              Yasuyuki Imai and   
                 Yasuo Seto and   
             Shotaro Tanaka and   
                 Hiroshi Yutani   An Expansion of $ x^m $ and Its
                                  Coefficients . . . . . . . . . . . . . . 33--39
                 Douglas Bowman   A New Generalization of Davison's
                                  Theorem  . . . . . . . . . . . . . . . . 40--45
                   R. A. Mollin   Generalized Fibonacci Primitive Roots,
                                  and Class Numbers of Real Quadratic
                                  Fields . . . . . . . . . . . . . . . . . 46--53
                W. J. A. Colman   On Certain Semi-Perfect Cuboids  . . . . 54--57
              Anne L. Ludington   Generalized Transposable Integers  . . . 58--63
                  Kung-Wei Yang   Limits of $q$-Polynomial Coefficients    64--69
                   Bjorn Poonen   Periodicity of a Combinatorial Sequence  70--76
                  A. F. Horadam   Jacobsthal and Pell Curves . . . . . . . 77--83
                      Anonymous   Referees . . . . . . . . . . . . . . . . 84
                  A. P. Hillman   Elementary Problems and Solutions  . . . 85--88
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 89--97

Fibonacci Quarterly
Volume 26, Number 2, May, 1988

                  A. F. Horadam   Elliptic Functions and Lambert Series in
                                  the Summation of Reciprocals in Certain
                                  Recurrence-Generated Sequences . . . . . 98--114
            Piero Filipponi and   
                  A. F. Horadam   A Matrix Approach to Certain Identities  115--126
                     Peter Kiss   On the Number of Solutions of the
                                  Diophantine Equation $ \binom (x, p) =
                                  \binom (y, 2) $  . . . . . . . . . . . . 127--129
                      Anonymous   Third International Conference
                                  Announcement . . . . . . . . . . . . . . 130
                    Pin-Yen Lin   De Moivre-Type Identities for the
                                  Tribonacci Numbers . . . . . . . . . . . 131--134
                Yasuichi Horibe   Entropy of Terminal Distributions and
                                  the Fibonacci Trees  . . . . . . . . . . 135--140
               Joseph W. Creely   The Length of a Three-Number Game  . . . 141--143
                       S. Pethe   Some Identities for Tribonacci Sequences 144--151
                  A. Zulauf and   
                   J. C. Turner   Fibonacci Sequences of Sets and Their
                                  Duals  . . . . . . . . . . . . . . . . . 152--156
                 L. Kuipers and   
                    J.-S. Shiue   On the $ L^p $-Discrepancy of Certain
                                  Sequences  . . . . . . . . . . . . . . . 157--162
           Curtis N. Cooper and   
              Robert E. Kennedy   A Partial Asymptotic Formula for the
                                  Niven Numbers  . . . . . . . . . . . . . 163--168
                  R. B. McNeill   On Certain Divisibility Sequences  . . . 169--171
          William C. Waterhouse   Integral $4$ by $4$ Skew Circulants  . . 172--177
              R. M. Sternheimer   On a Result Involving Iterated
                                  Exponentiation . . . . . . . . . . . . . 178--180
                  A. P. Hillman   Elementary Problems and Solutions  . . . 181--185
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 186--193

Fibonacci Quarterly
Volume 26, Number 3, August, 1988

                      Anonymous   A Tribute to Brother Alfred Brousseau    194
              Anne L. Ludington   Length of the $7$-Number Game  . . . . . 195--204
                 John C. Turner   On Folyominoes and Feudominoes . . . . . 205--218
              A. G. Shannon and   
                  A. F. Horadam   Generalized Fibonacci Continued
                                  Fractions  . . . . . . . . . . . . . . . 219--223
             Morris Jack DeLeon   Carlitz Four-Tuples  . . . . . . . . . . 224--232
                   J. C. Turner   Fibonacci Word Patterns and Binary
                                  Sequences  . . . . . . . . . . . . . . . 233--246
                Gerhard Larcher   A New Extremal Property of the Fibonacci
                                  Ratio  . . . . . . . . . . . . . . . . . 247--255
                    Jukka Pihko   On Fibonacci and Lucas Representations
                                  and a Theorem of Lekkerkerker  . . . . . 256--261
                Douglas Hensley   A Winning Strategy at Taxman . . . . . . 262--270
                 Eugene Ehrhart   On Prime Numbers . . . . . . . . . . . . 271--274
                 P. J. McCarthy   A Generalization of Metrod's Identity    275--277
                  A. P. Hillman   Elementary Problems and Solutions  . . . 278--282
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 283--288

Fibonacci Quarterly
Volume 26, Number 4, November, 1988

               Herta T. Freitag   A Report on the Third International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 289
                 Doug Wiedemann   An Iterated Quadratic Extension of GF(2) 290--295
                 H. C. Williams   A Note on the Primality of $ 6^{2^n} + 1
                                  $ and $ 10^{2^n} + 1 $ . . . . . . . . . 296--305
              Shari Lynn Levine   Suppose More Rabbits are Born  . . . . . 306--311
                Charles R. Wall   New Unitary Perfect Numbers have at
                                  Least Nine Odd Components  . . . . . . . 312--317
            Renato M. Capocelli   A Note on Fibonacci Trees and the
                                  Zeckendorf Representation of Integers    318--324
               Pentti Haukkanen   A Note on Specially Multiplicative
                                  Arithmetic Functions . . . . . . . . . . 325--327
               Alvin Tirman and   
        T. Henry Jablonski, Jr.   Identities Derived on a Fibonacci
                                  Multiplication Table . . . . . . . . . . 328--331
                  John A. Ewell   On Sums of Three Triangular Numbers  . . 332--335
               Andrzej Makowski   Stroeker's Equation and Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 336--337
                W. J. A. Colman   Some Observations on the Classical
                                  Cuboid and Its Parametric Solutions  . . 338--343
                Paul Duvall and   
                Theresa Vaughan   Pell Polynomials and a Conjecture of
                                  Mahon and Horadam  . . . . . . . . . . . 344--353
                 John C. Turner   Convolution Trees and Pascal-$T$
                                  Triangles  . . . . . . . . . . . . . . . 354--365
             Pavel Horák   A Note on the Third-Order Strong
                                  Divisibility Sequences . . . . . . . . . 366--371
                  A. P. Hillman   Elementary Problems and Solutions  . . . 372--376
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 377--381
                      Anonymous   Book Review: \booktitleThe Book of
                                  Squares  . . . . . . . . . . . . . . . . 382
                      Anonymous   Volume Index . . . . . . . . . . . . . . 383


Fibonacci Quarterly
Volume 27, Number 1, February, 1989

                 Leon Bernstein   On Primitive Pythagorean Triangles with
                                  Equal Perimeters . . . . . . . . . . . . 2--6
         Krassimir T. Atanassov   On a Generalization of the Fibonacci
                                  Sequence in the Case of Three Sequences  7--10
                   Amos Ehrlich   On the Periods of the Fibonacci Sequence
                                  Modulo $m$ . . . . . . . . . . . . . . . 11--13
           Daniel A. Rawsthorne   How Many $1$'s Are Needed? . . . . . . . 14--17
            Tony van Ravenstein   Optimal Spacing of Points on a Circle    18--24
                 Lawrence Somer   Congruence Relations for $k$ th-Order
                                  Linear Recurrences . . . . . . . . . . . 25--30
                      Anonymous   Referees . . . . . . . . . . . . . . . . 31--32
              Robert A. Sulanke   A Recurrence Restricted by a Diagonal
                                  Condition: Generalized Catalan Arrays    33--46
               John F. Morrison   Fibonacci-Like Matrices  . . . . . . . . 47--48
         Arnold Knopfmacher and   
               John Knopfmacher   Representations for Real Numbers via $k$
                                  th Powers of Integers  . . . . . . . . . 49--60
               F. T. Howard and   
                  E. K. Hayashi   Congruences for Numbers of Ramanujan . . 61--69
         Alejandro Necochea and   
                  Larry Bennett   On a Certain Sequence of Quotients of a
                                  Sequence . . . . . . . . . . . . . . . . 70--75
                   J. C. Turner   The Alpha and the Omega of the Wythoff
                                  Pairs  . . . . . . . . . . . . . . . . . 76--86
                  A. P. Hillman   Elementary Problems and Solutions  . . . 87--91
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 92--97

Fibonacci Quarterly
Volume 27, Number 2, May, 1989

                       Luo Ming   On Triangular Fibonacci Numbers  . . . . 98--108
             Frank S. Gillespie   A Generalization of Fermat's Little
                                  Theorem  . . . . . . . . . . . . . . . . 109--115
                     Bau-Sen Du   A Simple Method which Generates
                                  Infinitely Many Congruence Identities    116--123
                      Anonymous   Announcement on Fourth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 124
                  Padmavathamma   On Andrews' Generalized Frobenius
                                  Partitions . . . . . . . . . . . . . . . 125--130
                Paul Duvall and   
             Theresa P. Vaughan   Recursions for Carlitz Triples . . . . . 131--138
          Robert E. Kennedy and   
               Curtis N. Cooper   Niven Repunits and $ 10^n \equiv 1 \pmod
                                  {n} $  . . . . . . . . . . . . . . . . . 139--143
               Rudolph M. Najar   Operations on Generators of Unitary
                                  Amicable Pairs . . . . . . . . . . . . . 144--152
  László Cseh and   
            Imre Merényi   Recurrence Relations for a Power Series  153--155
                   C. Georghiou   On Some Second-Order Linear Recurrences  156--159
          Daniel C. Fielder and   
                Cecil O. Alford   On a Conjecture by Hoggatt with
                                  Extensions to Hoggatt Sums and Hoggatt
                                  Triangles  . . . . . . . . . . . . . . . 160--168
                  A. K. Agarwal   Properties of a Recurring Sequences  . . 169--175
             L. Tóth and   
               J. Sándor   An Asymptotic Formula Concerning a
                                  Generalized Euler Function . . . . . . . 176--180
                  A. P. Hillman   Elementary Problems and Solutions  . . . 181--185
                Jeffrey Shallit   Letter to the Editor . . . . . . . . . . 186
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 27, Number 3, June, 1989

                   Selmo Tauber   Some New Results on Quasi-Orthogonal
                                  Numbers  . . . . . . . . . . . . . . . . 194--200
             Bruce E. Sagan and   
                  Yeong-Nan Yeh   Probabilistic Algorithms for Trees . . . 201--207
                      Anonymous   Announcement: Fourth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 208
       Andreas N. Philippou and   
               Costas Georghiou   Convolutions of Fibonacci-Type
                                  Polynomials of Order $K$ and the
                                  Negative Binomial Distributions of the
                                  Same Order . . . . . . . . . . . . . . . 209--216
             Y. H. Harris Kwong   Minimum Periods of $ S(n, k) $ Modulo
                                  $M$  . . . . . . . . . . . . . . . . . . 217--220
         François Dubeau   On $r$-Generalized Fibonacci Numbers . . 221--228
                 John C. Turner   Note on a Family of Fibonacci-Like
                                  Sequences  . . . . . . . . . . . . . . . 229--231
             Adina Di Porto and   
                Piero Filipponi   Note on the Fibonacci Pseudoprimes . . . 232--241
                   J. W. Sander   A Remark on a Theorem of Weinstein . . . 242--246
               A. F. Alameddine   Fibonacci Numbers and Bipyramids . . . . 247--252
               Andrew Granville   On a Class of Determinants . . . . . . . 253--256
               Joseph W. Creely   Generating Partitions Using a Modified
                                  Greedy Algorithm . . . . . . . . . . . . 257--258
                   Irving Adler   Concerning the Divisors of $N$ and the
                                  Exponents They Belong to Modulo $ (N -
                                  1) $ or $ (N + 1) $  . . . . . . . . . . 259--266
              Jeffrey A. Brooks   A General Recurrence Relation for
                                  Reflections in Multiple Glass Plates . . 267--271
           Richard C. Bollinger   The Mann--Shanks Primality Criterion in
                                  the Pascal-$T$ Triangle $ T_3 $  . . . . 272--275
           Herta T. Freitag and   
                Piero Filipponi   On the $F$-Representation of Integral
                                  Sequences $ \{ F^2_n / d \} $ and $ \{
                                  L^2_n / d \} $ Where $d$ is Either a
                                  Fibonacci or a Lucas Number  . . . . . . 276--282
                   H. W. Corley   The Convolved Fibonacci Equation . . . . 283--284
                G. L. Cohen and   
                    S. L. Segal   A Note Concerning Those $n$ for Which $
                                  \Phi (n) + 1 $ Divides $n$ . . . . . . . 285--286
       Vamsi Krishna Mootha and   
               George Berzsenyi   Characterizations and Extendibility of $
                                  P_t $-Sets . . . . . . . . . . . . . . . 287--289

Fibonacci Quarterly
Volume 27, Number 4, August, 1989

                Thomas E. Moore   Euclid's Algorithm and Lamé's Theorem on
                                  a Microcomputer  . . . . . . . . . . . . 290--295
                   J. Arkin and   
                D. C. Arney and   
               G. E. Bergum and   
                 S. A. Vurr and   
                   B. J. Porter   Unique Fibonacci Formulas  . . . . . . . 296--302
             Peter R. J. Asveld   Fibonacci-Like Differential Equations
                                  with a Polynomial Nonhomogeneous Part    303--309
            Aleck J. Hunter and   
                     M. Kovarik   Integral Triangles and Circles . . . . . 310--315
                      Anonymous   Announcement: Fourth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 316
                   S. W. Graham   Unitary Perfect Numbers with Squarefree
                                  Odd Part . . . . . . . . . . . . . . . . 317--322
                   J. Arkin and   
                D. C. Arney and   
               G. E. Bergum and   
                 S. A. Burr and   
                   B. J. Porter   Recurring-Sequence Tiling  . . . . . . . 323--332
                    Sahib Singh   A Diophantine Equation with
                                  Generalization . . . . . . . . . . . . . 333--334
                 Eliot Jacobson   Almost Uniform Distribution of the
                                  Fibonacci Sequence . . . . . . . . . . . 335--337
               Paul S. Bruckman   The Generalized Zeckendorf Theorems  . . 338--347
             Y. H. Harris Kwong   Minimum Periods of Binomial Coefficients
                                  Modulo $M$ . . . . . . . . . . . . . . . 348--351
          Peter C. Fishburn and   
          Andrew M. Odlyzko and   
                Fred S. Roberts   Two-Sided Generalized Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 352--361
                    H. W. Gould   Equivalence of Piza's Primality
                                  Criterion with that of Gould--Greig and
                                  Its Dual Relationship to the
                                  Mann--Shanks Criterion . . . . . . . . . 362--365
        V. Siva Rama Prasad and   
         M. V. S. Bhramarambica   On the Schnirelmann Density of $M$-Free
                                  Integers . . . . . . . . . . . . . . . . 366--368
                  Harry D'Souza   Trapping a Real Number between Adjacent
                                  Rationals  . . . . . . . . . . . . . . . 369--371
               Doron Zeilberger   A Combinatorial Problem that Arose in
                                  Biophysics . . . . . . . . . . . . . . . 372
                  A. P. Hillman   Elementary Problems and Solutions  . . . 373--377
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 378--385

Fibonacci Quarterly
Volume 27, Number 5, November, 1989

              Pierre Damphousse   The Arithmetic of Powers and Roots in $
                                  G l_2 (C) $ and $ S l_2 (C) $  . . . . . 386--401
                    N. Gauthier   Derivation of a Formula for $ \sum r^k
                                  x^r $  . . . . . . . . . . . . . . . . . 402--407
                      Anonymous   Announcement: Fourth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 408
                  Eric Schissel   Characterizations of Three Types of
                                  Completeness . . . . . . . . . . . . . . 409--419
              Graham Winley and   
             Keith Tognetti and   
            Tony van Ravenstein   Hurwitz's Theorem and the Continued
                                  Fraction with Constant Terms . . . . . . 420--423
              Dario Castellanos   A Generalization of Binet's Formula and
                                  Some of Its Consequences . . . . . . . . 424--438
               J. C. Turner and   
                  A. G. Shannon   On $K$ th-Order Colored Convolution
                                  Trees and a Generalized Zeckendorf
                                  Integer Representation Theorem . . . . . 439--447
      Marjorie Bicknell-Johnson   Retrograde Renegades and the Pascal
                                  Connection: Repeating Decimals
                                  Represented by Fibonacci and Other
                                  Sequences Appearing from Right to Left   448--457
           Ernest J. Eckert and   
        Preben Dahl Vestergaard   Groups of Integral Triangles . . . . . . 458--464
              Amitabha Tripathi   A Box Filling Problem  . . . . . . . . . 465--466
                  A. P. Hillman   Elementary Problems and Solutions  . . . 467--472
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 473--478
                      Anonymous   Volume Index . . . . . . . . . . . . . . 479


Fibonacci Quarterly
Volume 28, Number 1, February, 1990

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2
            Br. J. M. Mahon and   
                  A. F. Horadam   Third-Order Diagonal Functions of Pell
                                  Polynomials  . . . . . . . . . . . . . . 3--10
               Peter Hagis, Jr.   Odd Nonunitary Perfect Numbers . . . . . 11--14
                      Anonymous   Announcement: Fourth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 15
          Esayas George Kundert   A Von Staudt--Clausen Theorem for
                                  Certain Bernoullianlike Numbers and
                                  Regular Primes of the First and Second
                                  Kind . . . . . . . . . . . . . . . . . . 16--21
               Clark Kimberling   Fibonacci Hyperbolas . . . . . . . . . . 22--27
                 Derek K. Chang   On Circular Fibonacci Binary Sequences   28--30
            Supriya Mohanty and   
                  S. P. Mohanty   Pythagorean Numbers  . . . . . . . . . . 31--42
             N. Balasubramanian   On Friendly-Pairs of Arithmetic
                                  Functions  . . . . . . . . . . . . . . . 43--47
            Lee Knisley Sanders   A Proof from Graph Theory for a
                                  Fibonacci Identity . . . . . . . . . . . 48--55
                 M. G. Monzingo   On the Sum $ \sum_{a = 1}^{p - 1} (a /
                                  p)a $  . . . . . . . . . . . . . . . . . 56--59
                     Dan Kalman   Sums of Powers by Matrix Methods . . . . 60--71
                   Konrad Engel   On the Fibonacci Number of an $ M \times
                                  N $ Lattice  . . . . . . . . . . . . . . 72--78
                   J. W. Sander   On Fibonacci Primitive Roots . . . . . . 79--80
                Ivan Gutman and   
                  Sven J. Cyvin   A Result on $1$-Factors Related to
                                  Fibonacci Numbers  . . . . . . . . . . . 81--84
                  A. P. Hillman   Elementary Problems and Solutions  . . . 85--89
              A. F. Horadam and   
                        J. Lahr   Letter to the Editor . . . . . . . . . . 90
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 91--97

Fibonacci Quarterly
Volume 28, Number 2, May, 1990

                Charles R. Wall   Terminating Decimals in the Cantor
                                  Ternary Set  . . . . . . . . . . . . . . 98--101
                    Mark Nodine   Note on the Resistance through a Static
                                  Carry Look-Ahead Gate  . . . . . . . . . 102--106
      Marjorie Bicknell-Johnson   Divisibility Properties of the Fibonacci
                                  Numbers Minus One, Generalized to $ C_n
                                  = C_{n - 1} + C_{n - 2} + k $  . . . . . 107--112
                  J. H. E. Cohn   Palindromic Differences  . . . . . . . . 113--120
             Karen Anne Johnson   A Hypercube Problem  . . . . . . . . . . 121--128
                    Pin-Yen Lin   Repeating Decimals Represented by
                                  Tribonacci Sequences Appearing from Left
                                  to Right or from Right to Left . . . . . 129--139
                      Anonymous   Book Review: \booktitleA new chapter for
                                  Pythagorean triples, by A. G. Schaake
                                  and J. C. Turner . . . . . . . . . . . . 140, 155
                 Leon J. Lander   Equal Sums of Unlike Powers  . . . . . . 141--150
           Stanley Bezuszka and   
                Stephen Kokoska   A Polynomial Formula for Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 151--155
              P. R. Subramanian   Springs of the Hermite Polynomials . . . 156--161
                 Patricia Jones   On the Equation $ \phi $ (x) + $ \phi $
                                  (k) = $ \phi $ (x+k) . . . . . . . . . . 162--165
                    H. W. Gould   Series Transformations for Finding
                                  Recurrences for Sequences  . . . . . . . 166--171
                    Istvan Beck   Partial Orders and the Fibonacci Numbers 172--174
                  Kevin Burrage   Generalized Fibonacci Polynomials and
                                  the Functional Iteration of Rational
                                  Functions of Degree One  . . . . . . . . 175--180
                 M. G. Monzingo   On Certain Divisibility Sequences  . . . 181
                  A. P. Hillman   Elementary Problems and Solutions  . . . 182--186
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 187--191
                      Anonymous   Announcement of Fourth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 192--193

Fibonacci Quarterly
Volume 28, Number 3, August, 1990

                  A. K. Agarwal   On a New Kind of Numbers . . . . . . . . 194--199
                  Henry Ibstedt   Some Sequences of Large Integers . . . . 200--203
        Tony van Ravenstein and   
              Graham Winley and   
                 Keith Tognetti   Characteristics and the Three Gap
                                  Theorem  . . . . . . . . . . . . . . . . 204--213
                      Anonymous   Announcement: Fourth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 214
        Christian Krattenthaler   A Two-Variable Lagrange-Type Inversion
                                  Formula with Applications to Expansion
                                  and Convolution Identities . . . . . . . 215--222
        R. André-Jeannin   Lambert Series and the Summation of
                                  Reciprocals in Certain
                                  Fibonacci--Lucas-Type Sequences  . . . . 223--226
                 Eliot Jacobson   The Distribution of Residues of Two-Term
                                  Recurrence Sequences . . . . . . . . . . 227--229
               J. C. Turner and   
                     T. D. Robb   Generalizations of the Dual Zeckendorf
                                  Integer Representation Theorems ---
                                  Discovery by Fibonacci Trees and Word
                                  Patterns . . . . . . . . . . . . . . . . 230--239
            Phillip G. Bradford   The Fibonacci Sequence and the Time
                                  Complexity of Generating the Conway
                                  Polynomial and Related Topological
                                  Invariants . . . . . . . . . . . . . . . 240--251
                      W. C. Chu   An Algebraic Identity and Some Partial
                                  Convolutions . . . . . . . . . . . . . . 252--254
           J. Sándor and   
                 L. Tóth   On Certain Number-Theoretic Inequalities 255--258
           Anne Ludington-Young   Length of the $n$-Number Game  . . . . . 259--265
                   J. Arkin and   
                D. C. Arney and   
               G. E. Bergum and   
                 S. A. Burr and   
                   B. J. Porter   Tiling the $k$ th Power of a Power
                                  Series . . . . . . . . . . . . . . . . . 266--272
                    Sahib Singh   On a Hoggatt--Bergum Paper with Totient
                                  Function Approach for Divisibility and
                                  Congruence Relations . . . . . . . . . . 273--276
                  A. P. Hillman   Elementary Problems and Solutions  . . . 277--282
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 283--289

Fibonacci Quarterly
Volume 28, Number 4, November, 1990

             Arnold Knopfmacher   A Radix Product Representation for Real
                                  Numbers  . . . . . . . . . . . . . . . . 290--297
                   E. E. Guerin   Partitions with ``$ M(a) $ Copies of
                                  $a$''  . . . . . . . . . . . . . . . . . 298--301
                   Amos Ehrlich   Periods in Ducci's $n$-Number Game of
                                  Differences  . . . . . . . . . . . . . . 302--305
                Neville Robbins   Fibonacci Numbers of the Form $ C X^2 $,
                                  Where $ 1 \leq C \leq 1000 $ . . . . . . 306--315
               Pentti Haukkanen   Vinogradov's Inversion Theorem for
                                  Generalized Arithmetical Functions . . . 316--320
                     M. Koutras   Two Classes of Numbers Appearing in the
                                  Convolution of Binomial-Truncated
                                  Poisson and Poisson-Truncated Binomial
                                  Random Variables . . . . . . . . . . . . 321--333
                  Jon T. Butler   On teh Number of Propagation Paths in
                                  Multilayer Media . . . . . . . . . . . . 334--339
             Kenji Nagasaka and   
               Jau-Shyong Shiue   Asymptotic Positiveness of Linear
                                  Recurrence Sequences . . . . . . . . . . 340--346
             Adino Di Porto and   
            Piero Filipponi and   
               Emilio Montolivo   On the Generalized Fibonacci
                                  Pseudoprimes . . . . . . . . . . . . . . 347--353
               Herta T. Freitag   Report on the Fourth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 354
                   F. T. Howard   Extensions of Congruences of Glaisher
                                  and Nielsen Concerning Stirling Numbers  355--362
             P. J. McCarthy and   
            R. Sivaramakrishnan   Generalized Fibonacci Sequences via
                                  Arithmetical Functions . . . . . . . . . 363--370
                  A. P. Hillman   Elementary Problems and Solutions  . . . 371--375
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 376--382
                      Anonymous   Volume Index . . . . . . . . . . . . . . 383
                      Anonymous   Announcement: Fifth International
                                  Conference . . . . . . . . . . . . . . . 384


Fibonacci Quarterly
Volume 29, Number 1, February, 1991

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2
          Joseph E. Carroll and   
                    Ken Yanosko   The Determination of a Class of
                                  Primitive Integral Triangles . . . . . . 3--6
                Ratko Tosic and   
                   Olga Bodroza   An Algebraic Expression for the Number
                                  of Kekulé Structures of Benzenoid Chains  7--12
   Richard André-Jeannin   Generalized Complex Fibonacci and Lucas
                                  Functions  . . . . . . . . . . . . . . . 13--18
                John Slivka and   
               Norman C. Severo   Measures of Sets Partitioning Borel's
                                  Simple Normal Numbers to Base $2$ in $
                                  [0, 1] $ . . . . . . . . . . . . . . . . 19--22
                      Anonymous   Announcement: Fifth International
                                  Conference . . . . . . . . . . . . . . . 23
              Wayne L. McDaniel   The G.C.D. in Lucas Sequences and Lehmer
                                  Number Sequences . . . . . . . . . . . . 24--29
                  J. H. E. Cohn   Recurrent Sequences Including $N$  . . . 30--36
                 Dixon J. Jones   Continued Powers and Roots . . . . . . . 37--46
              A. G. Shannon and   
                  A. F. Horadam   Generalized Staggered Sums . . . . . . . 47--51
                Allen R. Miller   Solutions of Fermat's Last Equation in
                                  Terms of Wright's Hypergeometric
                                  Function . . . . . . . . . . . . . . . . 52--56
              Dario Castellanos   A Generalization of a Result of Shannon
                                  and Horadam  . . . . . . . . . . . . . . 57--58
            Richard J. Moll and   
          Shankar M. Venkatesan   Fibonacci Numbers are not Context-Free   59--61
            Krystyna Bialek and   
            Aleksander Grytczuk   On Fermat's Equation . . . . . . . . . . 62--65
                 Bui Minh Phong   Lucas Primitive Roots  . . . . . . . . . 66--71
                 Lawrence Somer   Distribution of Residues of Certain
                                  Second-Order Linear Recurrences Modulo
                                  $p$ --- II . . . . . . . . . . . . . . . 72--78
           Kenneth S. Davis and   
                William A. Webb   Pascal's Triangle Modulo $4$ . . . . . . 79--83
                  A. P. Hillman   Elementary Problems and Solutions  . . . 84--88
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 89--97

Fibonacci Quarterly
Volume 29, Number 2, May, 1991

              Dario Castellanos   A Note on Bernoulli Polynomials  . . . . 98--102
                  A. F. Horadam   Fibonacci's Mathematical Letter to
                                  Master Theodorus . . . . . . . . . . . . 103--107
                Supriya Mohanty   On Multi-Sets  . . . . . . . . . . . . . 108--113
               V. Giambalvo and   
                  Ray Mines and   
             David J. Pengelley   $p$-Adic Congruences Between Binomial
                                  Coefficients . . . . . . . . . . . . . . 114--119
               Clark Kimberling   Zeckendorf Number Systems and Associated
                                  Partitions . . . . . . . . . . . . . . . 120--123
                Shmuel T. Klein   Combinatorial Representation of
                                  Generalized Fibonacci Numbers  . . . . . 124--131
   Richard André-Jeannin   A Note on the Irrationality of Certain
                                  Lucas Infinite Series  . . . . . . . . . 132--135
                      Anonymous   Announcement: Fifth International
                                  Conference . . . . . . . . . . . . . . . 136
                  A. K. Agarwal   Combinatorial Interpretations of the
                                  $q$-Analogues of $ L_{2 n + 1} $ . . . . 137--140
             John Konvalina and   
                    Yi-Hsin Liu   Subsets Without Unit Separation and
                                  Products of Fibonacci Numbers  . . . . . 141--144
          Robert E. Kennedy and   
               Curtis N. Cooper   An Extension of a Theorem by Cheo and
                                  Yien Concerning Digital Sums . . . . . . 145--149
                   Karl Dilcher   Zeros of Certain Cyclotomy-Generated
                                  Polynomials  . . . . . . . . . . . . . . 150--156
               Tom C. Brown and   
              Allen R. Freedman   Some Sequences Associated with the
                                  Golden Ratio . . . . . . . . . . . . . . 157--159
                  Kung-Wei Yang   $q$-Determinants and Permutations  . . . 160--163
           Alwyn F. Horadam and   
                Piero Filipponi   Cholesky Algorithm Matrices of Fibonacci
                                  Type and Properties of Generalized
                                  Sequences  . . . . . . . . . . . . . . . 164--173
                   Timothy Chow   A New Characterization of the
                                  Fibonacci-Free Partition . . . . . . . . 174--179
                      Anonymous   Elementary Problems Editor Retires . . . 180
                  A. P. Hillman   Elementary Problems and Solutions  . . . 181--185
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 186--193

Fibonacci Quarterly
Volume 29, Number 3, August, 1991

               Clark Kimberling   Second-Order Recurrence and Iterates of
                                  $ [a n + 1 / 2] $  . . . . . . . . . . . 194--196
                  David Englund   Entry Point Reciprocity of
                                  Characteristic Conjugate Generalized
                                  Fibonacci Sequences  . . . . . . . . . . 197--198
                      Anonymous   Announcement: Fifth International
                                  Conference . . . . . . . . . . . . . . . 199
   Richard André-Jeannin   Summation of Certain Reciprocal Series
                                  Related to Fibonacci and Lucas Numbers   200--204
   Richard André-Jeannin   Sequences of Integers Satisfying
                                  Recurrence Relations . . . . . . . . . . 205--208
                Steven R. Finch   Conjectures about $s$-Additive Sequences 209--214
                  Nenad Caki\'c   A Note on Euler's Numbers  . . . . . . . 215--216
              Martin Bunder and   
                 Keith Tognetti   The Zeckendorf Representation and the
                                  Golden Sequence  . . . . . . . . . . . . 217--219
              R. A. Bateman and   
                E. A. Clark and   
              M. L. Hancock and   
                   C. A. Reiter   The Period of Convergents Modulo $M$ of
                                  Reduced Quadratic Irrationals  . . . . . 220--229
         Rita Giuliano Antonini   On the Notion of Uniform Distribution
                                  Mod $1$  . . . . . . . . . . . . . . . . 230--234
             R. N. Whitaker and   
                  A. G. Shannon   Some Recursive Asymptotes  . . . . . . . 235--238
                Calvin Long and   
                  John Bradshaw   Second-Order Recurrences and the
                                  Schröder--Bernstein Theorem . . . . . . . 239--243
               Clark Kimberling   Sets of Terms that Determine all the
                                  Terms of a Linear Recurrence Sequence    244--248
                Neville Robbins   Some Convolution-Type and Combinatorial
                                  Identities Pertaining to Binary Linear
                                  Recurrences  . . . . . . . . . . . . . . 249--255
                Piero Filipponi   A Note on a Class of Lucas Sequences . . 256--263
           Bruce M. Landman and   
           Raymond N. Greenwell   Multiplicative Partitions of Bipartite
                                  Numbers  . . . . . . . . . . . . . . . . 264--267
             John Konvalina and   
                    Yi-Hsin Liu   A Combinatorial Interpretation of the
                                  Square of a Lucas Number . . . . . . . . 268--270
                Scott J. Beslin   Reciprocal GCD Matrices and LCM Matrices 271--274
                 Herb Silverman   Summing Infinite Series with Sex . . . . 275--276
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 277--282
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 283--289

Fibonacci Quarterly
Volume 29, Number 4, November, 1991

           Ch. A. Charalambides   Lucas Numbers and Polynomials of Order
                                  $K$ and the Length of the Longest
                                  Circular Success Run . . . . . . . . . . 290--297
              Franz Halter-Koch   Continued Fractions of Given Symmetric
                                  Period . . . . . . . . . . . . . . . . . 298--303
   Richard André-Jeannin   On Determinants Whose Elements are
                                  Recurring Sequences of Arbitrary Order   304--308
                      Anonymous   Announcement: Fifth International
                                  Conference . . . . . . . . . . . . . . . 309
                Mordechai Lewin   Periodic Fibonacci and Lucas Sequences   310--315
                   G. Ferri and   
                  M. Faccio and   
                     A. D'Amico   A New Numerical Triangle Showing Links
                                  with Fibonacci Numbers . . . . . . . . . 316--321
       Andreas N. Philippou and   
        Demetris L. Antzoulakos   Generalized Multivariate Fibonacci
                                  Polynomials of Order $K$ and the
                                  Multivariate Negative Binomial
                                  Distributions of the Same Order  . . . . 322--328
           Pentti Haukkanen and   
                Jerzy Rutkowski   On Generating Functions for Powers of
                                  Recurrence Sequences . . . . . . . . . . 329--332
                    Jukka Pihko   A Note on a Theorem of Schinzel  . . . . 333--338
               Clark Kimberling   Second-Order Stolarsky Arrays  . . . . . 339--342
          Mahesh K. Mahanthappa   Arithmetic Sequences and Fibonacci
                                  Quadratics . . . . . . . . . . . . . . . 343--346
                 Patricia Jones   $ \phi $-Partitions  . . . . . . . . . . 347--350
        Clément Frappier   Iterations of a Kind of Exponentials . . 351--361
                Neville Robbins   A New Formula for Lucas Numbers  . . . . 362--363
   Richard André-Jeannin   Divisibility of Generalized Fibonacci
                                  and Lucas Numbers by Their Subscripts    364--366
          Robert E. Kennedy and   
               Curtis N. Cooper   The Statistics of the Smallest Space on
                                  a Lottery Ticket . . . . . . . . . . . . 367--370
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 371--376
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 377--382
                      Anonymous   Volume Index . . . . . . . . . . . . . . 383


Fibonacci Quarterly
Volume 30, Number 1, February, 1992

                     Bolian Liu   A Matrix Method to Solve Linear
                                  Recurrences with Constant Coefficients   2--8
           Marcellus E. Waddill   The Tetranacci Sequence and
                                  Generalizations  . . . . . . . . . . . . 9--19
                      Anonymous   Announcement: Fifth International
                                  Conference . . . . . . . . . . . . . . . 20
                  A. F. Horadam   Negative Order Genocchi Polynomials  . . 21--34
             Bernard R. Hodgson   On Some Number Sequences Related to the
                                  Parity of Binomial Coefficients  . . . . 35--47
             Steven T. Kuhn and   
                    Andrew Vogt   Numbers Without Ones . . . . . . . . . . 48--53
                Michel Deza and   
                Monique Laurent   The Fibonacci and Parachute Inequalities
                                  for $ l_1 $-Metrics  . . . . . . . . . . 54--61
                   G. Ferri and   
                  M. Faccio and   
                     A. D'Amico   Fibonacci Numbers and Ladder Network
                                  Impedance  . . . . . . . . . . . . . . . 62--67
                 Wai-Fong Chuan   Fibonacci Words  . . . . . . . . . . . . 68--76
               K. Atanassov and   
               J. Hlebarska and   
                       S. Mihov   Recurrent Formulas of the Generalized
                                  Fibonacci and Tribonacci Sequences . . . 77--79
             Arnold Knopfmacher   Elementary Properties of the Subtractive
                                  Euclidean Algorithm  . . . . . . . . . . 80--83
                      Anonymous   Referees . . . . . . . . . . . . . . . . 84
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 85--89
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 90--97

Fibonacci Quarterly
Volume 30, Number 2, May, 1992

             Pavel Horák   Strong Divisibility Linear Recurrences
                                  of the Third Order . . . . . . . . . . . 98--101
                Leonard Gillman   Miscellanea  . . . . . . . . . . . . . . 102
          Péter Kiss and   
                Béla Zay   On a Generalization of a Recursive
                                  Sequence . . . . . . . . . . . . . . . . 103--109
                  R. B. McNeill   On a Theorem of Monzingo Characterizing
                                  the Prime Divisors of Certain Sequences
                                  of Integers  . . . . . . . . . . . . . . 110
                   M. W. Bunder   Zeckendorf Representations Using
                                  Negative Fibonacci Numbers . . . . . . . 111--115
                 Steven W. Knox   Fibonacci Sequences in Finite Groups . . 116--120
                   D. F. Bailey   More Binomial Coefficient Congruences    121--125
           Anne Ludington Young   $k$-Reverse Multiples  . . . . . . . . . 126--131
                      Anonymous   Announcement: Fifth International
                                  Conference . . . . . . . . . . . . . . . 132
   Richard André-Jeannin   On the Equations $ U_n = U q x^2 $,
                                  Where $q$ is Odd, and $ V_n = V q x^2 $,
                                  Where $q$ is Even  . . . . . . . . . . . 133--135
                     A. V. Boyd   Bounds for the Catalan Numbers . . . . . 136--138
             Huang Minqiang and   
                    Dai Zongduo   Projective Maps of Linear Recurring
                                  Sequences with Maximal $p$-adic Periods  139--143
          William C. Waterhouse   Continued Fractions and Pythagorean
                                  Triples  . . . . . . . . . . . . . . . . 144--147
                  John B. Kelly   Schur Functions and Fibonacci Identities 148--156
               Scott Beslin and   
                     Steve Ligh   GCD-Closed Sets and the Determinants of
                                  GCD Matrices . . . . . . . . . . . . . . 157--160
                Thomas E. Moore   On the Least Absolute Remainder
                                  Euclidean Algorithm  . . . . . . . . . . 161--165
           Anne Ludington Young   Trees for $k$-Reverse Multiples  . . . . 166--174
                  John A. Ewell   On Representations of Numbers by Sums of
                                  Two Triangular Numbers . . . . . . . . . 175--178
                  Peter Griffin   Acceleration of the Sum of Fibonacci
                                  Reciprocals  . . . . . . . . . . . . . . 179--181
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 182--186
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 30, Number 3, August, 1992

            P. G. Tsangaris and   
                    J. P. Jones   And Old Theorem on the GCD and Its
                                  Application to Primes  . . . . . . . . . 194--198
                Wolfdieter Lang   A Combinatorial Problem in the Fibonacci
                                  Number System and Two-Variable
                                  Generalizations of Chebyshev's
                                  Polynomials  . . . . . . . . . . . . . . 199--210
              Eliot T. Jacobson   Distribution of the Fibonacci Numbers
                                  Mod $ 2 K $  . . . . . . . . . . . . . . 211--215
                    Jack Y. Lee   The Golden-Fibonacci Equivalence . . . . 216--220
           Gordon L. Miller and   
                 Mary T. Whalen   Armstrong Numbers: $ 153 = 1^3 + 5^3 +
                                  3^3 $  . . . . . . . . . . . . . . . . . 221--224
                Piero Filipponi   Waring's Formula, the Binomial Formula,
                                  and Generalized Fibonacci Matrices . . . 225--231
           Marcellus E. Waddill   Some Properties of the Tetranacci
                                  Sequence Modulo $m$  . . . . . . . . . . 232--238
                  A. F. Horadam   Generation of Genocchi Polynomials of
                                  First Order by Recurrence Relations  . . 239--243
                Yasuichi Horibe   A Fibonacci Theme on Balanced Binary
                                  Trees  . . . . . . . . . . . . . . . . . 244--250
             Calvin T. Long and   
                     Shiro Ando   Another Generalization of Gould's Star
                                  of David Theorem . . . . . . . . . . . . 251--255
                Ana Andrade and   
                    S. P. Pethe   On the $r$ th-Order Nonhomogeneous
                                  Recurrence Relation and Some Generalized
                                  Fibonacci Sequences  . . . . . . . . . . 256--262
                Warren Page and   
                K. R. S. Sastry   Area-Bisecting Polygonal Paths . . . . . 263--273
              Duane W. DeTemple   The Triangle of Smallest Perimeter which
                                  Circumscribes a Semicircle . . . . . . . 274
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 275--281
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 282--289

Fibonacci Quarterly
Volume 30, Number 4, November, 1992

            Allen R. Miller and   
               H. M. Srivastava   On Glaisher's Infinite Sums Involving
                                  the Inverse Tangent Function . . . . . . 290--294
                 Owen J. Brison   Complete Fibonacci Sequences in Finite
                                  Fields . . . . . . . . . . . . . . . . . 295--304
    Konstantine Dabmian Zelator   The Diophantine Equation $ x^2 + a^2 y^m
                                  = z^2 n $ with $ (x, a y) = 1 $  . . . . 305--309
           W. R. Spickerman and   
               R. N. Joyner and   
                   R. L. Creech   On the $ (2, F) $ Generalizations of the
                                  Fibonacci Sequence . . . . . . . . . . . 310--314
            Ratko To\vsi\'c and   
             Ivan Stojmenovi\'c   Fibonacci Numbers and the Numbers of
                                  Perfect Matchings of Square, Pentagonal,
                                  and Hexagonal Chains . . . . . . . . . . 315--321
      Earle L. Blanton, Jr. and   
            Spencer P. Hurd and   
             Judson S. McCranie   On a Digraph Defined by Squaring Modulo
                                  $n$  . . . . . . . . . . . . . . . . . . 322--333
               Herta T. Freitag   The Fibonacci Conference in Scotland . . 334
               Edward K. Hinson   On the Distribution of Pythagorean
                                  Triples  . . . . . . . . . . . . . . . . 335--338
             Adina Di Porto and   
                Piero Filipponi   Generating $M$-Strong Fibonacci
                                  Pseudoprimes . . . . . . . . . . . . . . 339--343
                    Jukka Pihko   On Sequences Having Same Minimal
                                  Elements in the Lemoine--Kátai Algorithm  344--348
             Frank S. Gillespie   A Generalization of Kummer's Congruences
                                  and Related Results  . . . . . . . . . . 349--367
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 368--375
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 376--382
                      Anonymous   Volume Index . . . . . . . . . . . . . . 383


Fibonacci Quarterly
Volume 31, Number 1, February, 1993

                       W. Moser   Cyclic Binary Strings without Long Runs
                                  of Like (Alternating) Bits . . . . . . . 2--6
                     I. J. Good   Complex Fibonacci and Lucas Numbers,
                                  Continued Fractions, and the Square Root
                                  of the Golden Ratio  . . . . . . . . . . 7--20
              E. A. Marchisotto   Connections in Mathematics: An
                                  Introduction to Fibonacci via Pythagoras 21--27
               Pentti Haukkanen   Formal Power Series for Binomial Sums of
                                  Sequences of Numbers . . . . . . . . . . 28--31
               Tom C. Brown and   
         Peter Jau-Shyong Shiue   A Remark Related to the Frobenius
                                  Problem  . . . . . . . . . . . . . . . . 32--36
                Jeffrey Shallit   Rational Numbers with Non-Terminating,
                                  Non-Periodic Modified Engel-Type
                                  Expansions . . . . . . . . . . . . . . . 37--39
                      Anonymous   Author and Title Index for Sale  . . . . 40
                Vamsi K. Mootha   Unary Fibonacci Numbers are
                                  Context-Sensitive  . . . . . . . . . . . 41--43
             A. G. Kyriakoussis   On Extended Generalized Stirling Pairs   44--51
                      Anonymous   Book Announcement: \booktitleGeneralized
                                  Pascal Triangles and Pyramids. Their
                                  Fractals and Graphs and Applications, by
                                  Boris A. Bondarenko  . . . . . . . . . . 52
                   F. T. Howard   Multinomial and $Q$-Binomial Coefficient
                                  Modulo $4$ and Modulo $P$  . . . . . . . 53--64
                  W.-J. Hsu and   
                 C. V. Page and   
                      J.-S. Liu   Fibonacci Cubes --- a Class of
                                  Self-Similar Graphs  . . . . . . . . . . 65--71
                      Anonymous   A New Book on Liber Abaci  . . . . . . . 72
               Rhodes Peele and   
            A. J. Radcliffe and   
                Herbert S. Wilf   Congruence Problems Involving Stirling
                                  Numbers on the First Kind  . . . . . . . 73--80
                      Anonymous   Referees . . . . . . . . . . . . . . . . 81
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 82--89
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 90--97

Fibonacci Quarterly
Volume 31, Number 2, May, 1993

                  R. Dutton and   
         N. Chandrasekharam and   
                     R. Brigham   On the Number of Independent Sets of
                                  Nodes in a Tree  . . . . . . . . . . . . 98--104
              A. G. Shannon and   
                   R. S. Melham   Carlitz Generalizations of Lucas and
                                  Lehmer Sequences . . . . . . . . . . . . 105--111
            Ashley Melia Reiter   Determining the Dimension of Fractals
                                  Generated by Pascal's Triangle . . . . . 112--120
                 Paul Peart and   
                   Leon Woodson   Triple Factorization of Some Riordan
                                  Matrices . . . . . . . . . . . . . . . . 121--128
                S. Bhargava and   
        Chandrashekar Adiga and   
              D. D. Somashekara   Three-Square Theorem as an Application
                                  of Andrews' Identity . . . . . . . . . . 129--132
                      Anonymous   Correction . . . . . . . . . . . . . . . 133
                 Derek Jennings   Some Polynomial Identities for the
                                  Fibonacci and Lucas Numbers  . . . . . . 134--137
           Anne Ludington Young   A Variation on the Two-Digit Kaprekar
                                  Routine  . . . . . . . . . . . . . . . . 138--144
                      Anonymous   Announcement: Sixth International
                                  Conference . . . . . . . . . . . . . . . 145
              Curtis Cooper and   
              Robert E. Kennedy   On Consecutive Niven Numbers . . . . . . 146--151
            Gospava B. Dordevic   Mixed Fermat Convolutions  . . . . . . . 152--157
                   Herman Haase   Hyperspaces and Fibonacci Numbers  . . . 158--161
           Joachim Zöllner   A Disjoint System of Linear Recurring
                                  Sequences Generated by $ u_{n + 2} =
                                  u_{n + 1} + u_n $ Which Contains Every
                                  Natural Number . . . . . . . . . . . . . 162--164
                      Anonymous   Book Announcement: \booktitleGeneralized
                                  Pascal Triangles and Pyramids. Their
                                  Fractals Graphs and Applications, by
                                  Boris A. Bondarenko  . . . . . . . . . . 165
                  A. F. Horadam   Associated Sequences of General Order    166--172
                 Adino Di Porto   Nonexistence of Even Fibonacci
                                  Pseudoprimes of the 1st Kind . . . . . . 173--177
        Michael J. J. Barry and   
            Anthony J. Lo Bello   The Moment Generating Function of the
                                  Geometric Distribution of Order $k$  . . 178--180
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 181--186
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 31, Number 3, August, 1993

            Piero Filipponi and   
               Alwyn F. Horadam   Second Derivative Sequences of Fibonacci
                                  and Lucas Polynomials  . . . . . . . . . 194--204
          Dario Castellanos and   
           William E. Rosenthal   Rational Chebyshev Approximations of
                                  Analytic Functions . . . . . . . . . . . 205--215
              Clifford S. Queen   Palindromes  . . . . . . . . . . . . . . 216--225
                      Anonymous   Book Announcement: \booktitleGeneralized
                                  Pascal Triangles and Pyramids, by Boris
                                  A. Bondarenko  . . . . . . . . . . . . . 226
                      C. Bender   Fibonacci Transmission Lines . . . . . . 227--238
                J. P. Jones and   
                     Peter Kiss   On Points Whose Coordinates Are Terms of
                                  a Linear Recurrence  . . . . . . . . . . 239--245
          Scott H. Hochwald and   
                 Jingcheng Tong   On the Reciprocals of the Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 246--250
                 Wai-fong Chuan   Symmetric Fibonacci Words  . . . . . . . 251--254
                      Anonymous   Announcement: Sixth International
                                  Conference . . . . . . . . . . . . . . . 255
                      L. C. Hsu   A Summation Rule Using Stirling Numbers
                                  of the Second Kind . . . . . . . . . . . 256--262
             Michael I. Ratliff   Mandelbrot's Functional Iteration and
                                  Continued Fractions  . . . . . . . . . . 263--267
         François Dubeau   The Rabbit Problem Revisited . . . . . . 268--273
                     I. J. Good   Erratum for ``Complex Fibonacci and
                                  Lucas Numbers, Continued Fractions, and
                                  the Square Root of the Golden Ratio''    274
             John Konvalina and   
                    Yi-Hsin Liu   Circular Subsets without $q$-Separation
                                  and Powers of Lucas Numbers  . . . . . . 275
                Marc S. Ordower   The Connectivity of a Particular Graph   276
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 277--282
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 283--289

Fibonacci Quarterly
Volume 31, Number 4, November, 1993

               Rudolph M. Najar   Recursions and Pascal-Type Triangles . . 290--293
                      L. C. Hsu   Letter to the Editor . . . . . . . . . . 294
             Walter E. Beck and   
               Rudolph M. Najar   Reduced and Augmented Amicable Pairs to
                                  10 8 . . . . . . . . . . . . . . . . . . 295--298
            Konstantine Zelator   On Independent Pythagorean Numbers . . . 299--301
               Pentti Haukkanen   A Note on Rational Arithmetic Functions
                                  of Order $ (2, 1) $  . . . . . . . . . . 302--306
                Piero Filipponi   Real Fibonacci and Lucas Numbers with
                                  Real Subscripts  . . . . . . . . . . . . 307--314
             Clifford A. Reiter   Fibonacci Numbers: Reduction Formulas
                                  and Short Periods  . . . . . . . . . . . 315--324
          Alkiviadis G. Akritas   Sylvester's Forgotten Form of the
                                  Resultant  . . . . . . . . . . . . . . . 325--332
           W. R. Spickerman and   
               R. L. Creech and   
                   R. N. Joyner   On the Structure of the Set of the
                                  Difference Systems Defining $ (3, F) $
                                  Generalized Fibonacci Sequences  . . . . 333--337
                   G. J. Rieger   Sums of Unit Fractions Having Long
                                  Continued Fractions  . . . . . . . . . . 338--340
          Robert E. Kennedy and   
                  Curtis Cooper   Sums of Powers of Digital Sums . . . . . 341--345
      Marjorie Bicknell-Johnson   Retrograde Renegades and the Pascal
                                  Connection II: Repeating Decimals
                                  Represented by Sequences of Diagonal
                                  Sums of Generalized Pascal Triangles
                                  Appearing from Right to Left . . . . . . 346--353
               Gregory A. Moore   A Fibonacci Polynomial Sequence Defined
                                  by Multidimensional Continued Fractions;
                                  and Higher-Order Golden Ratios . . . . . 354--364
                       Jun Wang   Reduced $ \phi $-Partitions of Positive
                                  Integers . . . . . . . . . . . . . . . . 365--369
                      Anonymous   Announcement: Sixth International
                                  Conference . . . . . . . . . . . . . . . 370
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 371--376
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 377--382
                      Anonymous   Volume Index . . . . . . . . . . . . . . 383


Fibonacci Quarterly
Volume 32, Number 1, February, 1994

              Paul Thomas Young   $p$-Adic Congruences for Generalized
                                  Fibonacci Sequences  . . . . . . . . . . 2--10
   Richard André-Jeannin   On a Conjecture of Piero Filipponi . . . 11--13
                      Anonymous   Announcement: Sixth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 14
                Neville Robbins   On Fibonacci Numbers and Primes of the
                                  Form $ 4 k + 1 $ . . . . . . . . . . . . 15--16
                   Kanakku Puly   Cross-Jump Numbers . . . . . . . . . . . 17
                 Derek Jennings   On Sums of Reciprocals of Fibonacci and
                                  Lucas Numbers  . . . . . . . . . . . . . 18--21
            Gerald A. Heuer and   
      Ulrike Leopold-Wildburger   Fibonacci-Type Sequences and Minimal
                                  Solutions of Discrete Silverman Games    22--43
                  M. V. Koutras   Eulerian Numbers Associated with
                                  Sequences of Polynomials . . . . . . . . 44--57
                      Anonymous   Referees . . . . . . . . . . . . . . . . 58--59
                  John M. Holte   A Lucas-Type Theorem for
                                  Fibonomial-Coefficient Residues  . . . . 60--68
                     E. O. Hare   Fibonacci Numbers and Fractional
                                  Domination of $ P_m \times P_n $ . . . . 69--73
                   Amos Ehrlich   Cycles in Doubling Diagrams mod $m$  . . 74--78
                A. Kyriakoussis   Congruences for a Wide Class of Integers
                                  by Using Gessel's Method . . . . . . . . 79--84
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 85--90
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 91--97

Fibonacci Quarterly
Volume 32, Number 2, May, 1994

         Russell Jay Hendel and   
        Sandra A. Monteferrante   Hofstadter's Extraction Conjecture . . . 98--107
                M. N. Deshpande   An Unexpected Encounter with the
                                  Fibonacci Numbers  . . . . . . . . . . . 108--109
            Piero Filipponi and   
               Alwyn F. Horadam   Addendum to ``Second Derivative
                                  Sequences of Fibonacci and Lucas
                                  Polynomials''  . . . . . . . . . . . . . 110
                 Diana L. Wells   The Fibonacci and Lucas Triangles Modulo
                                  2  . . . . . . . . . . . . . . . . . . . 111--123
                  Z. W. Trzaska   Modified Numerical Triangle and the
                                  Fibonacci Sequences  . . . . . . . . . . 124--129
              A. F. Horadam and   
                   B. Swita and   
                   P. Filipponi   Integration and Derivative Sequences for
                                  Pell and Pell--Lucas Polynomials . . . . 130--135
          Robert W. Packard and   
                Erik S. Packard   The Order of a Perfect $k$-Shuffle . . . 136--144
            Charles Cassidy and   
             Bernard R. Hodgson   On Some Properties of Fibonacci
                                  Diagonals in Pascal's Triangle . . . . . 145--152
               Paul S. Bruckman   On the Infinitude of Lucas Pseudoprimes  153--154
               Paul S. Bruckman   Lucas Pseudoprimes are Odd . . . . . . . 155--157
               Paul S. Bruckman   On a Conjecture of Di Porto and
                                  Filipponi  . . . . . . . . . . . . . . . 158--159
                    Ed Korntved   Extensions to the GCD Star of David
                                  Theorem  . . . . . . . . . . . . . . . . 160--166
                    J. S. Frame   Fibonacci Numbers and a Chaotic
                                  Piecewise Linear Function  . . . . . . . 167--169
             Pasquale J. Arpaia   Generating Solutions for a Special Class
                                  of Diophantine Equations . . . . . . . . 170--173
                 H. G. Grundman   Sequences of Consecutive $n$-Niven
                                  Numbers  . . . . . . . . . . . . . . . . 174--175
                    H. W. Gould   A Bracket Function Transform and Its
                                  Inverse  . . . . . . . . . . . . . . . . 176--179
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 180--186
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 32, Number 3, June, 1994

                     T. Lengyel   On the Divisibility by $2$ of the
                                  Stirling Numbers of the Second Kind  . . 194--201
                  A. F. Horadam   Unique Minimal Representation of
                                  Integers by Negatively subscripted Pell
                                  Numbers  . . . . . . . . . . . . . . . . 202--206
                   Tom C. Brown   Powers of Digital Sums . . . . . . . . . 207--210
               Gregory A. Moore   The Limit of the Golden Numbers is $ 3 /
                                  2 $  . . . . . . . . . . . . . . . . . . 211--217
               B. S. El-Desouky   The Multiparameter Noncentral Stirling
                                  Numbers  . . . . . . . . . . . . . . . . 218--225
                       Juan Pla   An ``All or None'' Divisibility Property
                                  for a Class of Fibonacci-Like Sequences
                                  of Integers  . . . . . . . . . . . . . . 226--227
   Richard André-Jeannin   A Generalization of Morgan--Voyce
                                  Polynomials  . . . . . . . . . . . . . . 228--231
                      Ian Bruce   Another Instance of the Golden Right
                                  Triangle . . . . . . . . . . . . . . . . 232--233
                    Don Redmond   Infinite Products and Fibonacci Numbers  234--239
                  A. F. Horadam   Maximal Representations of Positive
                                  Integers by Pell Numbers . . . . . . . . 240--244
            Piero Filipponi and   
                    Marco Bucci   On the Integrity of Certain Fibonacci
                                  Sums . . . . . . . . . . . . . . . . . . 245--252
                 W. T. Hung and   
              A. G. Shannon and   
                 B. S. Thornton   The Use of a Second-order Recurrence
                                  Relation in the Diagnosis of Breast
                                  Cancer . . . . . . . . . . . . . . . . . 253--259
               Dana Carroll and   
             Eliot Jacobson and   
                 Lawrence Somer   Distribution of Two-Term Recurrence
                                  Sequences Mod $ P^e $  . . . . . . . . . 260--265
                W. J. A. Colman   A Perfect Cuboid in Gaussian Integers    266--268
                    Jack Y. Lee   A Note on the Negative Pascal Triangle   269--270
          G. F. C. de Bruyn and   
              J. M. de Villiers   Formulas for $ 1 + 2^p + 3^p + \cdots {}
                                  + n^p $  . . . . . . . . . . . . . . . . 271--276
                   Garry J. Tee   Prime Powers of Zeros of Monic
                                  Polynomials with Integer Coefficients    277--283
                     I. J. Good   A Symmetry Property of Alternating Sums
                                  of Products of Reciprocals . . . . . . . 284--287
                      Anonymous   Announcement . . . . . . . . . . . . . . 288--289

Fibonacci Quarterly
Volume 32, Number 4, August, 1994

               T. V. Padmakumar   A Juxtaposition Property for the $ 4
                                  \times 4 $ Magic Square  . . . . . . . . 290--292
                U. Balakrishnan   Some Remarks on $ \sigma (\theta (n)) $  293--296
              Wayne L. McDaniel   On the Greatest Integer Function and
                                  Lucas Sequences  . . . . . . . . . . . . 297--300
               Clark Kimberling   The First Column of an Interspersion . . 301--315
                   F. T. Howard   Congruences and Recurrences for
                                  Bernoulli Numbers of Higher Orders . . . 316--328
        Rama K. Govindaraju and   
       M. S. Krishnamoorthy and   
                   Narsingh Deo   Fibonacci Networks . . . . . . . . . . . 329--345
              Wayne L. McDaniel   The Irrationality of Certain Series
                                  Whose Terms Are Reciprocals of Lucas
                                  Sequence Terms . . . . . . . . . . . . . 346--351
                George Giordano   A Note on Consecutive Prime Numbers  . . 352--355
            Piero Filipponi and   
               Herta T. Freitag   Fibonacci Autocorrelation Sequences  . . 356--368
               Pentti Haukkanen   Roots of Sequences Under Covolutions . . 369--372
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 373--378
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 379--385

Fibonacci Quarterly
Volume 32, Number 5, November, 1994

               Peter Hilton and   
                  Jean Pedersen   A Note on a Geometrical Property of
                                  Fibonacci Numbers  . . . . . . . . . . . 386--388
           Peter J. Grabner and   
               Helmut Prodinger   The Fibonacci Killer . . . . . . . . . . 389--394
                  Michael Hauss   Fibonacci, Lucas, and Central Factorial
                                  Numbers, and $ \pi $ . . . . . . . . . . 395--396
                     T. Lengyel   Characterizing the $2$-Adic Order of the
                                  Logarithm  . . . . . . . . . . . . . . . 397--401
             Nikolai A. Volodin   Number of Multinomial Coefficients not
                                  Divisible by a Prime . . . . . . . . . . 402--406
   Öystein J. Rödseth   A Note on Brown and Shiue's Paper on a
                                  Remark Related to the Frobenius Problem  407--408
                  A. F. Horadam   An Alternative Proof of a Unique
                                  Representation Theorem . . . . . . . . . 409--410
                      Anonymous   New Editorial Policies . . . . . . . . . 411
               Helmut Prodinger   Some Information about the Binomial
                                  Transform  . . . . . . . . . . . . . . . 412--415
                Jeffrey Shallit   Pierce Expansions and Rules for the
                                  Determination of Leap Years  . . . . . . 416--423
               R. S. Melham and   
                  A. G. Shannon   Some Congruence Properties of
                                  Generalized Second-Order Integer
                                  Sequences  . . . . . . . . . . . . . . . 424--428
                  A. F. Horadam   Partial Sums for Second-Order Recurrence
                                  Sequences  . . . . . . . . . . . . . . . 429--439
                      Anonymous   Announcement . . . . . . . . . . . . . . 440
              D. L. Johnson and   
                      A. C. Kim   Cyclic Fibonacci Algebras  . . . . . . . 441--444
   Richard André-Jeannin   A Note on a General Class of Polynomials 445--454
            Piero Filipponi and   
           Renato Menicocci and   
               Alwyn F. Horadam   Extended Dickson Polynomials . . . . . . 455--464
               Herta T. Freitag   The Fibonacci Conference in Pullman  . . 465--466
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 467--472
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 473--478
                      Anonymous   Volume Index . . . . . . . . . . . . . . 479


Fibonacci Quarterly
Volume 33, Number 1, February, 1995

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2
               Clark Kimberling   The Zeckendorf Array Equals the Wythoff
                                  Array  . . . . . . . . . . . . . . . . . 3--8
           W. R. Spickerman and   
               R. L. Creech and   
                   R. N. Joyner   On the $ (3, F) $ Generalizations of the
                                  Fibonacci Sequence . . . . . . . . . . . 9--12
               R. S. Melham and   
                  A. G. Shannon   Some Infinite Series Summations Using
                                  Power Series Evaluated at a Matrix . . . 13--20
                 Julia Abrahams   Varn Codes and Generalized Fibonacci
                                  Trees  . . . . . . . . . . . . . . . . . 21--25
                  Roger Webster   A Combinatorial Problem with a Fibonacci
                                  Solution . . . . . . . . . . . . . . . . 26--31
               R. S. Melham and   
                  A. G. Shannon   Inverse Trigonometric Hyperbolic
                                  Summation Formulas Involving Generalized
                                  Fibonacci Numbers  . . . . . . . . . . . 32--40
             Morris Jack DeLeon   Sequences Related to an Infinite Product
                                  Expansion for the Square Root and Cube
                                  Root Functions . . . . . . . . . . . . . 41--49
  Marjorie Bicknell-Johnson and   
               David A. Englund   Greatest Integer Identities for
                                  Generalized Fibonacci Sequences $ \{ H_n
                                  \} $, Where $ H_n = H_{n - 1} + H_{n -
                                  2} $ . . . . . . . . . . . . . . . . . . 50--58
              Wayne L. McDaniel   Diophantine Representation of Lucas
                                  Sequences  . . . . . . . . . . . . . . . 59--63
               R. S. Melham and   
                  A. G. Shannon   Some Summation Identities Using
                                  Generalized $Q$-Matrices . . . . . . . . 64--73
         Vassil S. Dimitrov and   
           Borislav D. Donevsky   Faster Multiplication of Medium Large
                                  Numbers Via the Zeckendorf
                                  Representation . . . . . . . . . . . . . 74--77
              Paul Thomas Young   Quadratic Reciprocity Via Lucas
                                  Sequences  . . . . . . . . . . . . . . . 78--81
               R. S. Melham and   
                  A. G. Shannon   A Generalization of the Catalan Identity
                                  and Some Consequences  . . . . . . . . . 82--84
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 85--90
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 91--97

Fibonacci Quarterly
Volume 33, Number 2, May, 1995

              G. F. C. de Bruyn   Formulas $ a + a^2 2^p + a^3 3^p +
                                  \cdots {} + a^n n^p $  . . . . . . . . . 98--103
                 Wai-fong Chuan   Generating Fibonacci Words . . . . . . . 104--112
                 Wai-fong Chuan   Extraction Property of the Golden
                                  Sequence . . . . . . . . . . . . . . . . 113--122
              A. Rotkiewicz and   
                      K. Ziemak   On Even Pseudoprimes . . . . . . . . . . 123--125
               R. S. Melham and   
                  A. G. Shannon   Generalizations of Some Simple
                                  Congruences  . . . . . . . . . . . . . . 126--130
              P. R. Subramanian   Nonzero Zeros of the Hermite Polynomials
                                  are Irrational . . . . . . . . . . . . . 131--134
               R. S. Melham and   
                  A. G. Shannon   A Generalization of a Result of D'Ocagne 135--138
               Helmut Prodinger   Geometric Distributions and Forbidden
                                  Subwords . . . . . . . . . . . . . . . . 139--141
                 Ray Melham and   
                 Derek Jennings   On the General Linear Recurrence
                                  Relation . . . . . . . . . . . . . . . . 142--146
              N. G. Gamkrelidze   On a Probabilistic Property of the
                                  Fibonacci Sequence . . . . . . . . . . . 147--152
         Arnold Knopfmacher and   
                     M. E. Mays   Pierce Expansions of Ratios and
                                  Fibonacci and Lucas Numbers and
                                  Polynomials  . . . . . . . . . . . . . . 153--163
                     Peter Hope   Exponential Growth of Random Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 164--168
                      L. C. Hsu   A Difference-Operational Approach to the
                                  Möbius Inversion Formulas . . . . . . . . 169--173
                       Jun Wang   On the $k$ th Derivative Sequences of
                                  Fibonacci and Lucas Polynomials  . . . . 174--178
                Krystyna Bialek   A Note on Choudhry's Results . . . . . . 179--180
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 181--186
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 33, Number 3, June, 1995

               R. S. Melham and   
                  A. G. Shannon   On Reciprocal Sums of Chebyshev Related
                                  Sequences  . . . . . . . . . . . . . . . 194--202
                 M. A. Khan and   
             Y. H. Harris Kwong   Some Invariant and Minimum Properties of
                                  Stirling Numbers of the Second Kind  . . 203--205
              Anatoly S. Izotov   A Note on Sierpinski Numbers . . . . . . 206--207
               Clark Kimberling   Conjectures Concerning Irrational
                                  Numbers and Integers . . . . . . . . . . 208--210
               Peter Hilton and   
              Jean Pedersen and   
                   Luc Vrancken   On Certain Arithmetic Properties of
                                  Fibonacci and Lucas Numbers  . . . . . . 211--217
                 Roger Cook and   
                   David Sharpe   Sums of Arithmetic Progressions  . . . . 218--220
                      Anonymous   Seventh International Research
                                  Conference . . . . . . . . . . . . . . . 221
               S. D. Balkin and   
              D. S. Cousins and   
                  C. K. Orr and   
                   C. A. Reiter   Short Periods of Continued Fraction
                                  Convergents Modulo $M$: a Generalization
                                  of the Fibonacci Case  . . . . . . . . . 222--233
                     T. Lengyel   The Order of the Fibonacci and Lucas
                                  Numbers  . . . . . . . . . . . . . . . . 234--239
                     Xiquan Shi   Concerning the Recursive Sequences $
                                  A_{n + k} = \sum_{i = 1}^k a_i
                                  A^{a_i}_{n + i - 1} $  . . . . . . . . . 240--243
     François Dubeau and   
                 Alain Pautasso   On Triangular Rectangular Numbers  . . . 244--248
         Krassimir T. Atanassov   Remark on a New Direction for a
                                  Generalization of the Fibonacci Sequence 249--250
                Piero Filipponi   Some Binomial Fibonacci Identities . . . 251--257
           Lawrence Brenton and   
                   Mi-Kyung Joo   On the System of Congruences $ \Pi_{j
                                  \not = i} n_j \equiv 1 \bmod n_i $ . . . 258--267
                Alan R. Glasson   Remainder Formulas Involving Generalized
                                  Fibonacci and Lucas Polynomials  . . . . 268--272
             Gwang-Yeon Lee and   
                    Sang-Gu Lee   A Note on Generalized Fibonacci Numbers  273--278
                     Shiro Ando   On a System of Sequences Defined by a
                                  Recurrence Relation  . . . . . . . . . . 279--282
             Sang Geun Hahn and   
                    Jun Kyo Kim   A Note on Multiplicative Partition of
                                  Bipartite Numbers  . . . . . . . . . . . 283--289

Fibonacci Quarterly
Volume 33, Number 4, August, 1995

         William A. Kimball and   
                William A. Webb   A Congruence for Fibonomial Coefficients
                                  Modulo $ p^3 $ . . . . . . . . . . . . . 290--297
  Marjorie Bicknell-Johnson and   
                 Duane DeTemple   Visualizing Golden Ratio Sums with
                                  Tiling Patterns  . . . . . . . . . . . . 298--302
                      Anonymous   Seventh International Research
                                  Conference . . . . . . . . . . . . . . . 303
              Curtis Cooper and   
              Robert E. Kennedy   Proof of a Result by Jarden by
                                  Generalizing a Proof by Carlitz  . . . . 304--310
                Neville Robbins   A Note Regarding Continued Fractions . . 311--312
             Herbert Glaser and   
              Gerd Schöffl   Ducci-Sequences and Pascal's Triangle    313--324
            Piero Filipponi and   
               Renato Menicocci   Some Probabilistic Aspects of the
                                  Terminal Digits of Fibonacci Numbers . . 325--331
               Pieter Moree and   
                    Hans Roskam   On an Arithmetical Function Related to
                                  Euler's Totient and the Discriminator    332--340
   Richard André-Jeannin   A Note on a General Glass of
                                  Polynomials, Part II . . . . . . . . . . 341--351
               Tom C. Brown and   
         Peter Jau-shyong Shiue   Squares of Second-Order Linear
                                  Recurrence Sequences . . . . . . . . . . 352--356
                   Paul Bracken   Dynamics of the Mapping $ f(x) = (x +
                                  1)^{-1} $  . . . . . . . . . . . . . . . 357--358
             Zhang Zhizheng and   
                     Guo Lizhou   Recurrence Sequences and Bernoulli
                                  Polynomials of Higher Order  . . . . . . 359--362
                 Shiro Ando and   
                Teluhiko Hilano   A Disjoint Covering of the Set of
                                  Natural Numbers Consisting of Sequences
                                  Defined by a Recurrence Whose
                                  Characteristic Equation Has a Pisot
                                  Number Root  . . . . . . . . . . . . . . 363--367
                  Richard Lewis   Antisocial Dinner Parties  . . . . . . . 368--370
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 371--377
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 378--385

Fibonacci Quarterly
Volume 33, Number 5, November, 1995

                    H. W. Gould   Extensions of the Hermite G.C.D.
                                  Theorems for Binomial Coefficients . . . 386--390
                      Anonymous   Seventh International Research
                                  Conference . . . . . . . . . . . . . . . 391
        Leetsch Charles Hsu and   
     Peter Jau-shyong Shiue and   
                        Yi Wang   Notes on a Conjecture of Singmaster  . . 392--397
           Alwyn F. Horadam and   
                Piero Filipponi   Real Pell and Pell--Lucas Numbers with
                                  Real Subscripts  . . . . . . . . . . . . 398--406
              Jovan Dj. Goli\'c   On Decimation of Linear Recurring
                                  Sequences  . . . . . . . . . . . . . . . 407--411
                 John Konvalina   Roots of Unity and Circular Subsets
                                  without Consecutive Elements . . . . . . 412--414
         K. Balasubramanian and   
              Roman Viveros and   
                N. Balakrishnan   Some Discrete Distributions Related to
                                  Extended Pascal Triangles  . . . . . . . 415--425
                  Norbert Henze   The Distribution of Spaces on Lottery
                                  Tickets  . . . . . . . . . . . . . . . . 426--431
           Anne Ludington Young   The Switch, Subtract, Reorder Routine    432--440
           Edith H. Luchins and   
             Russell Hendel and   
                 Paul Lemke and   
                   David Tuller   Linear Recurrences in Difference
                                  Triangles  . . . . . . . . . . . . . . . 441--452
   Richard André-Jeannin   Differential Properties of a General
                                  Class of Polynomials . . . . . . . . . . 453--458
             Odoardo Brugia and   
                Piero Filipponi   Polynomial Divisibility in Finite
                                  Fields, and Recurring Sequences  . . . . 459--463
                       Juan Pla   Some Conditions for ``All or None''
                                  Divisibility of a Class of
                                  Fibonacci-Like Sequences . . . . . . . . 464--465
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 466--471
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 472--477
                      Anonymous   Volume Index . . . . . . . . . . . . . . 478


Fibonacci Quarterly
Volume 34, Number 1, February, 1996

           Gospava Djordjevi\'c   On Some Properties of Generalized
                                  Hermite Polynomials  . . . . . . . . . . 2--6
                  A. F. Horadam   Minmax Polynomials . . . . . . . . . . . 7--16
                      Anonymous   Seventh International Research
                                  Conference . . . . . . . . . . . . . . . 17
                      C. Elsner   On the Approximation of Irrational
                                  Numbers with Rationals Restricted by
                                  Congruence Relations . . . . . . . . . . 18--29
             E. R. Suryanarayan   The Brahmagupta Polynomials  . . . . . . 30--39
                  A. F. Horadam   Jacobsthal Representation Numbers  . . . 40--54
             Eric Liverance and   
              John Pitsenberger   Diagonalization of the Binomial Matrix   55--67
                  A. F. Horadam   Extension of a Synthesis for a Class of
                                  Polynomial Sequences . . . . . . . . . . 68--74
   Richard André-Jeannin   On the Existence of Even Fibonacci
                                  Pseudoprimes with Parameters $P$ and $O$ 75--78
                      Anonymous   Referees . . . . . . . . . . . . . . . . 79--80
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 81--88
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 89--97

Fibonacci Quarterly
Volume 34, Number 2, May, 1996

                  Paul Oliverio   Self-Generating Pythagorean Quadruples
                                  and $N$-Tuples . . . . . . . . . . . . . 98--101
                  Michael Smith   Cousins of Smith Numbers: Monica and
                                  Suzanne Sets . . . . . . . . . . . . . . 102--104
              Wayne L. McDaniel   Triangular Numbers in the Pell Sequence  105--107
                     Bolian Liu   Varol's Permutation and Its
                                  Generalization . . . . . . . . . . . . . 108--117
                    Tianxin Cai   On $2$-Niven Numbers and $3$-Niven
                                  Numbers  . . . . . . . . . . . . . . . . 118--120
  Marjorie Bicknell-Johnson and   
              Colin Paul Spears   Classes of Identities for the
                                  Generalized Fibonacci Numbers $ G_n =
                                  G_{n - 1} + G_{n - c} $ from Matrices
                                  with Constant Valued Determinants  . . . 121--128
            Zdzislaw W. Trzaska   On Fibonacci Hyperbolic Trigonometry and
                                  Modified Numerical Triangles . . . . . . 129--138
  Maria T. Acosta-de-Orozco and   
          Javier Gomez-Calderon   Local Minimal Polynomials over Finite
                                  Fields . . . . . . . . . . . . . . . . . 139--143
                    Tianxin Cai   On $k$-Self-Numbers and Universal
                                  Generated Numbers  . . . . . . . . . . . 144--146
              P. J. Grabner and   
                R. F. Tichy and   
                   I. Nemes and   
                  A. Pethö   On the Least Significant Digit of
                                  Zeckendorf Expansions  . . . . . . . . . 147--151
             Richard K. Guy and   
            William O. J. Moser   Numbers of Sequences without Isolated
                                  Odd Members  . . . . . . . . . . . . . . 152--155
                  David C. Terr   Fibonacci Expansions and ``$F$-adic
                                  Integers'' . . . . . . . . . . . . . . . 156--163
                 Andrej Dujella   Generalized Fibonacci Numbers and the
                                  Problem of Diophantus  . . . . . . . . . 164--174
                      Anonymous   In Memory of Professor Steven Vajda  . . 175
              Gyula Darvasi and   
             Mihály Nagy   On Repetitions in Frequency Blocks of
                                  the Generalized Fibonacci Sequence $
                                  u(3, 1) $ with $ u_0 = u_1 = 1 $ . . . . 176--180
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 181--186
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 34, Number 3, June, 1996

                   Corey Powell   On the Uniqueness of Reduced
                                  Phi-Partitions . . . . . . . . . . . . . 194--199
           Edward B. Burger and   
         Christopher S. Kollett   On the Structure of Quadratic
                                  Irrationals Associated with Generalized
                                  Fibonacci and Lucas Numbers  . . . . . . 200--212
                  David Branson   An Extension of Stirling Numbers . . . . 213--223
               Helmut Prodinger   The Asymptotic Behavior of the Golden
                                  Numbers  . . . . . . . . . . . . . . . . 224--225
           Caroline Lucheta and   
                 Eli Miller and   
                Clifford Reiter   Digraphs from Powers Modulo $p$  . . . . 226--239
                    Brad Wilson   Construction of Small Consecutive Niven
                                  Numbers  . . . . . . . . . . . . . . . . 240--243
                   F. T. Howard   Sums of Powers of Integers via
                                  Generating Functions . . . . . . . . . . 244--256
                  F. Dubeau and   
                  A. G. Shannon   A Fibonacci Model of Infectious Disease  257--270
                Piero Filipponi   On the Fibonacci Numbers Whose Subscript
                                  is a Power . . . . . . . . . . . . . . . 271--276
                       Ming Luo   On the Diophantine Equation $ (x (x - 1)
                                  / 2)^2 = (y (y - 1) / 2)^2 $ . . . . . . 277--279
               Charles H. Jones   Generalized Hockey Stick Identities and
                                  $N$-Dimensional Blockwalking . . . . . . 280--289

Fibonacci Quarterly
Volume 34, Number 4, August, 1996

                   Shen Ze Chun   GCD and LCM Power Matrices . . . . . . . 290--297
              Walter Carlip and   
                 Eliot Jacobson   On the Stability of Certain Lucas
                                  Sequences Modulo $ 2^k $ . . . . . . . . 298--305
                Neville Robbins   Fibonacci Partitions . . . . . . . . . . 306--313
              Wang Tianming and   
                 Zhang Zhizheng   Recurrence Sequences and Nörlund--Euler
                                  Polynomials  . . . . . . . . . . . . . . 314--319
                Hongquan Yu and   
                    Yi Wang and   
                    Mingfeng He   On the Limit of Generalized Golden
                                  Numbers  . . . . . . . . . . . . . . . . 320--322
                J. M. H. Peters   A Ten Point FFT Calculation Which
                                  Features the Golden Ratio  . . . . . . . 323--325
               Pentti Haukkanen   On a Binomial Sum for the Fibonacci and
                                  Lucas Pseudoprimes . . . . . . . . . . . 326--331
               Paul S. Bruckman   Some Interesting Subsequences of the
                                  Fibonacci and Lucas Pseudoprimes . . . . 332--341
                  A. F. Horadam   Polynomials Associated with Generalized
                                  Morgan--Voyce Polynomials  . . . . . . . 342--348
                  David C. Terr   On the Sums of Digits of Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 349--355
                  E. Vantieghem   On Sequences Related to Expansions of
                                  Real Numbers . . . . . . . . . . . . . . 356--361
             Valery V. Karachik   $P$-Latin Matrices and Pascal's Triangle
                                  Modulo a Prime . . . . . . . . . . . . . 362--372
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 373--378
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 379--385

Fibonacci Quarterly
Volume 34, Number 5, November, 1996

         Abdelhamid Abderrezzak   Multivariate Symmetric Identities  . . . 386--393
                  Chizhong Zhou   On the $K$ th-Order Derivative Sequences
                                  of Fibonacci and Lucas Polynomials . . . 394--408
                       Juan Pla   On the Existence of Couples of
                                  Second-Order Linear Recurrences with
                                  Reciprocal Representation Properties for
                                  Their Fibonacci Sequences  . . . . . . . 409--412
              Jon T. Butler and   
                  Tsutomu Sasao   Average Number of Nodes in Binary
                                  Decision Diagrams of Fibonacci Functions 413--422
                  Chyi-Lung Lin   On Triangular and Baker's Maps with
                                  Golden Mean as the Parameter Value . . . 423--435
                    Arie Rokach   Optimal Computation, by Computer, of
                                  Fibonacci Numbers  . . . . . . . . . . . 436--439
                       Juan Pla   On the Possibility of Programming the
                                  General $2$-by-$2$ Matrix on the Complex
                                  Field  . . . . . . . . . . . . . . . . . 440--443
              H. T. Freitag and   
                 G. M. Phillips   On the Zeckendorf Form of $ F_{kn} / F_n
                                  $  . . . . . . . . . . . . . . . . . . . 444--446
             Stanley Rabinowitz   Algorithmic Manipulation of Third-Order
                                  Linear Recurrences . . . . . . . . . . . 447--464
              Markus Holzer and   
               Peter Rossmanith   A Simpler Grammar for Fibonacci Numbers  465--466
                      Anonymous   Dedication to Herta Taussig Freitag  . . 467
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 468--472
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 473--478
                      Anonymous   Volume Index . . . . . . . . . . . . . . 479


Fibonacci Quarterly
Volume 35, Number 1, February, 1997

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2
                 Shiro Ando and   
               Masahumi Hayashi   Counting the Number of Equivalence
                                  lasses of $ (m, F) $ Sequences and Their
                                  Generalizations  . . . . . . . . . . . . 3--8
                 Piotr Zarzycki   On Multiplicity Sequences  . . . . . . . 9
                      Anonymous   Retirement of Subscription Manager . . . 10
                Piero Filipponi   Modified Dickson Polynomials . . . . . . 11--18
                Hongquan Yu and   
               Chuanguang Liang   Identities Involving Partial Derivatives
                                  of Bivariate Fibonacci and Lucas
                                  Polynomials  . . . . . . . . . . . . . . 19--23
            Jürgen Spilker   Initial Values for Homogeneous Linear
                                  Recurrences of Second Order  . . . . . . 24--27
                      Anonymous   Announcement of the Eighth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 28
                 Jingcheng Tong   The Constant for Finite Diophantine
                                  Approximation  . . . . . . . . . . . . . 29--31
               Pentti Haukkanen   On a Recurrence Relation in Two
                                  Variables  . . . . . . . . . . . . . . . 32--34
                L. A. G. Dresel   On Pseudoprimes Related to Generalized
                                  Lucas Sequences  . . . . . . . . . . . . 35--42
               Peter Hilton and   
              Jean Pedersen and   
                 Lawrence Somer   On Lucasian Numbers  . . . . . . . . . . 43--47
       Peter R. Christopher and   
                John W. Kennedy   Binomial Graphs and Their Spectra  . . . 48--53
                       Juan Pla   On Periods Modulo a Prime of Some
                                  Classes of Sequences of Integers . . . . 54--56
                Piero Filipponi   An Observation of Summation Formulas for
                                  Generalized Sequences  . . . . . . . . . 57--61
                 Leetsch C. Hsu   On a Kind Of Generalized
                                  Arithmetic-Geometric Progression . . . . 62--67
   Richard André-Jeannin   Summation of Reciprocals in Certain
                                  Second-Order Recurring Sequences . . . . 68--74
        Olga Bodroza-Pantic and   
                Ivan Gutman and   
                  Sven J. Cyvin   Fibonacci Numbers and Algebraic
                                  Structure Count of Some Non-Benzenoid
                                  Conjugated Polymers  . . . . . . . . . . 75--83
               Herta T. Freitag   A Note on the Seventh International
                                  Conference . . . . . . . . . . . . . . . 84
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 85--90
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 91--97

Fibonacci Quarterly
Volume 35, Number 2, May, 1997

    Konstantine Dabmian Zelator   On a Class of Non-Congruent and
                                  Non-Pythagorean Numbers  . . . . . . . . 98--101
                  F. Dubeau and   
                   W. Motta and   
                 M. Rachidi and   
                       O. Saeki   On Weighted $r$-Generalized Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 102--110
                    Jack Y. Lee   On Some Basic Linear Properties of the
                                  Second-Order Inhomogeneous Line-Sequence 111--121
                    Brad Wilson   Construction of $ 2 * n $ Consecutive
                                  $n$-Niven Numbers  . . . . . . . . . . . 122--128
                  Chizhong Zhou   A Generalization of the ``All or None''
                                  Divisibility Property  . . . . . . . . . 129--134
               Helmut Prodinger   On a Question of Cooper and Kennedy  . . 135
                      Anonymous   Eighth International Conference
                                  Announcement . . . . . . . . . . . . . . 136
                  A. F. Horadam   Jacobsthal Representation Polyomials . . 137--148
                 Giuseppe Ferri   The Appearance of Fibonacci and Lucas
                                  Numbers in the Simulation of Electrical
                                  Power Lines Supplied by Two Sides  . . . 149--155
               Pentti Haukkanen   A Note on the Bracket Function Transform 156--159
                   M. X. He and   
                   D. Simon and   
                    P. E. Ricci   Dynamics of the Zeros of Fibonacci
                                  Polynomials  . . . . . . . . . . . . . . 160--168
                 Zhizheng Zhang   Some Properties of the Generalized
                                  Fibonacci Sequences $ C_n = C_{n - 1} +
                                  C_{n - 2} + r $  . . . . . . . . . . . . 169--171
              Jon T. Butler and   
                  Tsutomu Sasao   On the Proportion of Digits in Redundant
                                  Numeration Systems . . . . . . . . . . . 172--180
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 181--186
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 35, Number 3, August, 1997

                     James Metz   The Golden Staircase and the Golden Line 194--197
               T. V. Padmakumar   Strongly Magic Squares . . . . . . . . . 198--205
             George W. Grossman   Fractal Construction by Orthogonal
                                  Projection Using the Fibonacci Sequences 206--224
                  Wenpeng Zhang   Some Identities Involving the Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 225--228
               Harvey J. Hindin   Letter to the Editor . . . . . . . . . . 229
                 M. N. S. Swamy   On Certain Identities Involving
                                  Fibonacci and Lucas Numbers  . . . . . . 230--231
                      Anonymous   Eighth Annual Conference Announcement    232
                  A. F. Horadam   A Composite of Morgan--Voyce
                                  Generalizations  . . . . . . . . . . . . 233--239
         Alexander Burstein and   
                Herbert S. Wilf   On Cyclic Strings without Long Constant
                                  Blocks . . . . . . . . . . . . . . . . . 240--247
                     Ray Melham   Conics Which Characterize Certain Lucas
                                  Sequences  . . . . . . . . . . . . . . . 248--251
                Piero Filipponi   Summation Formulas for Special Lehmer
                                  Numbers  . . . . . . . . . . . . . . . . 252--257
             I. Jaroszewski and   
            A. K. Kwa\csniewski   Dynamics of the Möbius Mapping and
                                  Fibonacci-Like Sequences . . . . . . . . 258--264
                 Zhizheng Zhang   Some Identities Involving Generalized
                                  Second-Order Integer Sequences . . . . . 265--267
                      Anonymous   New Editor . . . . . . . . . . . . . . . 268
              Gerd Schöffl   Ducci-Processes of $4$-Tuples  . . . . . 269--276
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 277--282
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 283--289

Fibonacci Quarterly
Volume 35, Number 4, November, 1997

                   David Callan   When Does $ m - n $ Divide $ f(m) - f(n)
                                  $ ? A Look at Column-Finite Matrices . . 290--299
                Piero Filipponi   A Family of $4$-by-$4$ Fibonacci
                                  Matrices . . . . . . . . . . . . . . . . 300--307
                      Anonymous   New Editor and Submission of Articles    308
                 Julia Abrahams   Couples Sequences of Generalized
                                  Fibonacci Trees and Unequal Costs Coding
                                  Problems . . . . . . . . . . . . . . . . 309--316
                      Anonymous   Eighth International Conference
                                  Announcement . . . . . . . . . . . . . . 317
         W. F. Klostermeyer and   
                 M. E. Mays and   
                  L. Soltes and   
                       G. Trapp   A Pascal Rhombus . . . . . . . . . . . . 318--328
                 M. N. S. Swamy   On a Class of Generalized Polynomials    329--334
              Victor F. Sirvent   A Semigroup Associated with the
                                  $k$-Bonacci Numbers with Dynamic
                                  Interpretation . . . . . . . . . . . . . 335--340
                Leon C. Woodson   Professor Lucas Visits the Putnam
                                  Examination  . . . . . . . . . . . . . . 341
                       Juan Pla   The Sum of Inverses of Binomial
                                  Coefficients Revisited . . . . . . . . . 342--345
                     Ezra Brown   Directed Graphs Defined by Arithmetic $
                                  \pmod {n} $  . . . . . . . . . . . . . . 346--351
              A. F. Horadam and   
                   P. Filipponi   Derivative Sequences of Jacobsthal and
                                  Jacobsthal--Lucas Polynomials  . . . . . 352--357
           W. R. Spickerman and   
                   R. L. Creech   The $ (2, T) $ Generalized Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 358--360
                  A. F. Horadam   Rodriques' Formulas for Jacobsthal-Type
                                  Polynomials  . . . . . . . . . . . . . . 361--370
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 371--376
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 377--382
                      Anonymous   Volume Index . . . . . . . . . . . . . . 383


Fibonacci Quarterly
Volume 36, Number 1, February, 1998

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2
             Michael Drmota and   
              Johannes Gajdosik   The Parity of the Sum-of-Digits-Function
                                  of Generalized Zeckendorf
                                  Representations  . . . . . . . . . . . . 3--19
                 Larry Ericksen   The Pascal--De Moivre Triangles  . . . . 20--33
             E. R. Suryanarayan   The Brahmagupta Polynomials in Two
                                  Complex Variables  . . . . . . . . . . . 34--42
                  James E. Voss   Divisibility Tests in $N$  . . . . . . . 43--44
               A. J. Reuben and   
                  A. G. Shannon   Ellipses, Cardioides, and Penrose Tiles  45--54
                      Anonymous   Eighth International Conference
                                  Announcement . . . . . . . . . . . . . . 55
              Wayne L. McDaniel   Pronic Fibonacci Numbers . . . . . . . . 56--59
              Wayne L. McDaniel   Pronic Lucas Numbers . . . . . . . . . . 60--62
                Piero Filipponi   Combinatorial Expressions for Lucas
                                  Numbers  . . . . . . . . . . . . . . . . 63--64
               Albert V. Carlin   A Layman's View of Music of the Spheres  65
                Piero Filipponi   A Note on Two Theorems of Melham and
                                  Shannon  . . . . . . . . . . . . . . . . 66--67
                 Zhizheng Zhang   A Class of Sequences and the Aitken
                                  Transformation . . . . . . . . . . . . . 68--71
                   Harald Riede   Asymptotic Estimation of a Sum of Digits 72--75
                  Naotaka Imada   A Sparse Matrix and the Catalan Numbers  76--84
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 85--90
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 91--97

Fibonacci Quarterly
Volume 36, Number 2, May, 1998

        Richard L. Ollerton and   
             Anthony G. Shannon   Some Properties of Generalized Pascal
                                  Squares and Triangles  . . . . . . . . . 98--109
        Gospava B. Djordjevi\'c   On a Generalization of a Class of
                                  Polynomials  . . . . . . . . . . . . . . 110--117
                  Chyi-Lung Lin   Obtaining Dividing Formulas $ n|Q(n) $
                                  from Iterated Maps . . . . . . . . . . . 118--124
                 M. N. S. Swamy   Brahmagupta's Theorems and Recurrence
                                  Relations  . . . . . . . . . . . . . . . 125--128
                  D. A. Wolfram   Solving Generalized Fibonacci
                                  Recurrences  . . . . . . . . . . . . . . 129--145
       Jaume Paradís and   
      Pelegrí Viader and   
          Lluís Bibiloni   Approximation of Quadratic Irrationals
                                  and Their Pierce Expansions  . . . . . . 146--153
                  Wenpeng Zhang   Some Identities Involving the Euler and
                                  the Central Factorial Numbers  . . . . . 154--157
          Blair K. Spearman and   
            Kenneth S. Williams   The Factorization of $ x^5 \pm x^3 + n $ 158--170
               Clark Kimberling   Palindromic Sequences from Irrational
                                  Numbers  . . . . . . . . . . . . . . . . 171--173
   Richard André-Jeannin   On the Integrity of Certain Infinite
                                  Series . . . . . . . . . . . . . . . . . 174--180
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 181--186
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 36, Number 3, June, 1998

                    Brad Wilson   The Fibonacci Triangle Modulo $p$  . . . 194--203
               Nenad P. Caki\'c   Note on Stirling Numbers of the Second
                                  Kind . . . . . . . . . . . . . . . . . . 204--205
         Ahmad Fawzi Alameddine   Bounds on the Fibonacci Number of a
                                  Maximal Outerplanar Graph  . . . . . . . 206--210
                    A. Sofo and   
                      P. Cerone   On a Fibonacci Related Series  . . . . . 211--215
         Hüseyin Aydin and   
                 Ramazan Dikici   General Fibonacci Sequences in Finite
                                  Groups . . . . . . . . . . . . . . . . . 216--221
                 John Brillhart   Note on Fibonacci Primality Testing  . . 222--228
                    Brad Wilson   Power Digraphs Modulo $n$  . . . . . . . 229--239
            Piero Filipponi and   
                 Evelyn L. Hart   The Zeckendorf Decomposition of Certain
                                  Fibonacci--Lucas Products  . . . . . . . 240--247
                        I. Tang   Solving Linear Equations Using an
                                  Optimization-Based Iterative Scheme  . . 248--251
                    Hongquan Yu   A Generalization of Stirling Numbers . . 252--258
     Matú\vs Harminc and   
             Roman Soták   Palindromic Numbers in Arithmetic
                                  Progressions . . . . . . . . . . . . . . 259--262
           Paul S. Bruckman and   
              Peter G. Anderson   Conjectures on the $Z$-Densities of the
                                  Fibonacci Sequence . . . . . . . . . . . 263--271
              Zachary M. Franco   Distribution of Binomial Coefficients
                                  Modulo Three . . . . . . . . . . . . . . 272--275
                 A. Simalarides   Congruences $ \bmod p^n $ for the
                                  Bernoulli Numbers  . . . . . . . . . . . 276--281
               Michele Elia and   
                Piero Filipponi   Equations of the Bring--Jerrard Form,
                                  the Golden Section, and the Square
                                  Fibonacci Numbers  . . . . . . . . . . . 282--286
                Massimo Galuzzi   A Remark about the Binomial Transform    287--289

Fibonacci Quarterly
Volume 36, Number 4, August, 1998

                      C. Elsner   A Metric Result Concerning the
                                  Approximation of Real Numbers by
                                  Continued Fractions  . . . . . . . . . . 290--294
                    N. Gauthier   Identities for a Class of Sums Involving
                                  Horadam's Generalized Numbers $ \{ W_n
                                  \} $ . . . . . . . . . . . . . . . . . . 295--304
       Sini\vsa Slijep\vcevi\'c   A Note on Initial Digits of Recurrence
                                  Sequences  . . . . . . . . . . . . . . . 305--308
                 John A. Joseph   A Chaotic Extension of the $ 3 x + 1 $
                                  Function to $ Z_2 [i] $  . . . . . . . . 309--316
                Neville Robbins   Wilson's Theorem via Eulerian Numbers    317--318
                   M. A. Nyblom   A Note on the Set of Almost-Isosceles
                                  Right-Angled Triangles . . . . . . . . . 319--322
                Joseph R. Siler   Mean Crowds and Pythagorean Triples  . . 323--326
             Zhizheng Zhang and   
                     Maixue Liu   Generalizations of Some Identities
                                  Involving Generalized Second-Order
                                  Integer Sequences  . . . . . . . . . . . 327--328
             Zhizheng Zhang and   
                     Jingyu Jin   Some Identities Involving Generalized
                                  Genocchi Polynomials and Generalized
                                  Fibonacci--Lucas Sequences . . . . . . . 329--334
                 Gheorghe Udrea   The Diophantine Equations $ x^2 - k =
                                  T_n(a^2 \pm 1) $ . . . . . . . . . . . . 335--338
                     Xinrong Ma   A Generalization of the Kummer Identity
                                  and Its Application to Fibonacci--Lucas
                                  Sequences  . . . . . . . . . . . . . . . 339--347
             I. Jaroszewski and   
            A. K. Kwa\csniewski   Some Extensions of Properties of the
                                  Sequence of Reciprocal Fibonacci
                                  Polynomials  . . . . . . . . . . . . . . 348--353
                SeungKyung Park   Complete Partitions  . . . . . . . . . . 354--360
                  W. Carlip and   
             Eliot Jacobson and   
                 Lawrence Somer   Pseudoprimes, Perfect Numbers, and a
                                  Problem of Lehmer  . . . . . . . . . . . 361--371
                      Anonymous   A Toast to Our Editor  . . . . . . . . . 372
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 373--378
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 379--385

Fibonacci Quarterly
Volume 36, Number 5, November, 1998

                G. L. Cohen and   
                    R. M. Sorli   Harmonic Seeds . . . . . . . . . . . . . 386--390
                  A. F. Horadam   Morgan--Voyce Type Generalized
                                  Polynomials with Negative Subscripts . . 391--394
                    Brad Wilson   Acknowledgment of Priority . . . . . . . 395
                    Evelyn Hart   On Using Patterns in Beta-Expansions to
                                  Study Fibonacci--Lucas Products  . . . . 396--405
                      Anonymous   New Problem Web Site . . . . . . . . . . 406
                  C. Cooper and   
              R. E. Kennedy and   
                     M. Renberg   On Certain Sums of Functions of Base $B$
                                  Expansions . . . . . . . . . . . . . . . 407--415
               Clark Kimberling   Edouard Zeckendorf . . . . . . . . . . . 416--418
           Anne Ludington Young   Ducci-Processes of $5$-tuples  . . . . . 419--433
                 Piotr Zarzycki   Corrigendum to ``On Multiplicity
                                  Sequences''  . . . . . . . . . . . . . . 434
                   F. T. Howard   Lacunary Recurrences for Sums of Powers
                                  of Integers  . . . . . . . . . . . . . . 435--442
            Adam M. Stinchcombe   Recurrence Relations for Powers of
                                  Recursion Sequences  . . . . . . . . . . 443--447
                Stefan Dantchev   A Closed Form of the $ (2, F) $
                                  Generalizations of the Fibonacci
                                  Sequence . . . . . . . . . . . . . . . . 448--451
                     Ray Melham   Generalized Triple Products  . . . . . . 452--456
                Piero Filipponi   Representing Generalized Lucas Numbers
                                  in Terms of Their $ \alpha $-Values  . . 457--462
                 Florian Breuer   A Note on a Paper by Glaser and Schöffl   463--466
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 467--472
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 473


Fibonacci Quarterly
Volume 37, Number 1, February, 1999

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2
                   M. A. Nyblom   On a Generalization of the Binomial
                                  Theorem  . . . . . . . . . . . . . . . . 3--13
                    Lin Dazheng   Fibonacci Matrices . . . . . . . . . . . 14--20
                Evelyn Hart and   
                  Laura Sanchis   On the Occurrence of $ F_n $ in the
                                  Zeckendorf Decomposition of $ n F_n $    21--32
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 33
              Mehdi Mouline and   
               Mustapha Rachidi   Application of Markov Chains Properties
                                  to $r$-Generalized Fibonacci Sequences   34--38
                  Chizhong Zhou   A General Conclusion on Lucas Numbers of
                                  the Form $ p x^2 $, Where $p$ Is Prime   39--45
               Herta T. Freitag   The Eighth International Conference  . . 46
        M. Bicknell-Johnson and   
                  D. C. Fielder   The Number of Representations of $N$
                                  Using Distinct Fibonacci Numbers,
                                  Counted by Recursive Formulas  . . . . . 47--60
          Gospava B. Dordevi\'c   Polynomials Related to Morgan--Voyce
                                  Polynomials  . . . . . . . . . . . . . . 61--66
                 Temba Shonhiwa   A Generalization of the Euler and Jordan
                                  Totient Functions  . . . . . . . . . . . 67--76
                   Hua-Chieh Li   Fibonacci Primitive Roots and Wall's
                                  Question . . . . . . . . . . . . . . . . 77--84
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 85--90
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 91--97

Fibonacci Quarterly
Volume 37, Number 2, May, 1999

                  A. Behera and   
                    G. K. Panda   On the Square Roots of Triangular
                                  Numbers  . . . . . . . . . . . . . . . . 98--105
                     Ray Melham   Generalizations of Some Identities of
                                  Long . . . . . . . . . . . . . . . . . . 106--110
                   R. S. Melham   Lucas Sequences and Functions of a
                                  $3$-by-$3$ Matrix  . . . . . . . . . . . 111--115
      Marjorie Bicknell-Johnson   Book Review: \booktitleThe Golden Ratio
                                  and Fibonacci Numbers, by Richard A.
                                  Dunlap . . . . . . . . . . . . . . . . . 116
                    Henri Cohen   On the $2$-Adic Valuations of the
                                  Truncated Polylogarithm Series . . . . . 117--121
             Stanley Rabinowitz   Algorithmic Summation of Reciprocals of
                                  Products of Fibonacci Numbers  . . . . . 122--127
           Herta T. Freitag and   
                Piero Filipponi   Division of Fibonacci Numbers by $k$ . . 128--134
                 Henry W. Gould   The Firard--Waring Power Sum Formulas
                                  for Symmetric Functions, and Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 135--140
                 M. N. S. Swamy   A Generalization of Jacobsthal
                                  Polynomials  . . . . . . . . . . . . . . 141--144
        Anne L. Ludington-Young   Even Ducci-Sequences . . . . . . . . . . 145--153
               J. E. Nymann and   
        Ricardo A. Sáenz   Eulerian Numbers: Inversion Formulas and
                                  Congruences Modulo a Prime . . . . . . . 154--161
             Stanley Rabinowitz   Algorithmic Manipulation of Second-Order
                                  Linear Recurrences . . . . . . . . . . . 162--176
                      Anonymous   In Memoriam --- Richard Spain Vine . . . 177
            Georg Johann Rieger   The Golden Section and Newton
                                  Approximation  . . . . . . . . . . . . . 178--179
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 180--184
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 185--193

Fibonacci Quarterly
Volume 37, Number 3, August, 1999

              K. B. Subramaniam   Almost Square Triangular Numbers . . . . 194--197
                  P. Viader and   
                 J. Paradis and   
                       Bibiloni   Note on the Pierce Expansion of a
                                  Logarithm  . . . . . . . . . . . . . . . 198--202
                 Zhizheng Zhang   Generalized Fibonacci Sequences and a
                                  Generalization of the $Q$-Matrix . . . . 203--207
                   R. S. Melham   Lambert Series and Elliptic Functions
                                  and Certain Reciprocal Sums  . . . . . . 208--212
                    M. N. Swamy   Generalized Fibonacci and Lucas
                                  Polynomials, and Their Associated
                                  Diagonal Polynomials . . . . . . . . . . 213--222
                   W. Motta and   
                 M. Rachidi and   
                       O. Saeki   On $ \infty $-Generalized Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 223--232
                 Temba Shonhiwa   Generalized Bracket Function Inverse
                                  Pairs  . . . . . . . . . . . . . . . . . 233--239
              Indulis Strazdins   Partial Fibonacci and Lucas Numbers  . . 240--247
                   R. S. Melham   Sums of Certain Products of Fibonacci
                                  and Lucas Numbers  . . . . . . . . . . . 248--251
                Georg J. Rieger   Fibonacci Numbers and Harmonic
                                  Quadruples . . . . . . . . . . . . . . . 252--253
                 Feng-Zhen Zhao   Notes on Reciprocal Series Related to
                                  Fibonacci and Lucas Numbers  . . . . . . 254--257
              Anatoly S. Izotov   On the Form of Solutions of Martin
                                  Davis' Diophantine Equation  . . . . . . 258--261
               P. Filipponi and   
                      O. Brugia   On the Integers of the Form $ n (n - 1)
                                  - 1 $  . . . . . . . . . . . . . . . . . 262--263
                      Anonymous   Announcement of the Ninth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 264
                   Florian Luca   Arithmetic Functions of Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 265--268
                   R. S. Melham   Lucas Sequences and Functions of a
                                  $4$-by-$4$ Matrix  . . . . . . . . . . . 269--276
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 277--281
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 282--289

Fibonacci Quarterly
Volume 37, Number 4, November, 1999

            Piero Filipponi and   
                   Michele Elia   The Factorization of $ x^5 \pm p^2 x - k
                                  $ and Fibonacci Numbers  . . . . . . . . 290--298
                   M. A. Nyblom   On Irrational Valued Series Involving
                                  Generalized Fibonacci Numbers  . . . . . 299--304
                   R. S. Melham   Some Analogs of the Identity $ F^2_n +
                                  F^2_{n + 1} = F_{2 n + 1} $  . . . . . . 305--311
                 Andrej Dujella   An Extension of an Old Problem of
                                  Diophantus and Euler . . . . . . . . . . 312--314
                   R. S. Melham   Families of Identities Involving Sums of
                                  Powers of the Fibonacci and Lucas
                                  Numbers  . . . . . . . . . . . . . . . . 315--319
                  A. F. Horadam   Representation Grids for Certain
                                  Morgan--Voyce Numbers  . . . . . . . . . 320--325
            Piero Filipponi and   
                Giuseppe Fierro   On the Sequences $ T_n = T_{n - 1} +
                                  T_{n - 2} + h n + k $  . . . . . . . . . 326--332
         Lawrence C. Washington   Some Remarks on Fibonacci Matrices . . . 333--341
                   Hua-Chieh Li   On Second-Order Linear Recurrence
                                  Sequences: Wall and Wyler Revisited  . . 342--349
                 M. N. S. Swamy   Network Properties of a Pair of
                                  Generalized Polynomials  . . . . . . . . 350--360
              Indulis Strazdins   Sieve Formulas for the Generalized
                                  Fibonacci and Lucas Numbers  . . . . . . 361--365
                      Anonymous   Announcement of the Ninth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 366
                 George Woltman   On the Discovery of the $ 38 $ th Known
                                  Mersenne Prime . . . . . . . . . . . . . 367--370
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 371--376
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 377--382
                      Anonymous   Volume Index . . . . . . . . . . . . . . 383


Fibonacci Quarterly
Volume 38, Number 1, February, 2000

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2
                   R. S. Melham   Sums of Certain Products of Fibonacci
                                  and Lucas Numbers --- Part II  . . . . . 3--7
                 M. N. S. Swamy   Generalizations of Modified
                                  Morgan--Voyce Polynomials  . . . . . . . 8--16
                    T. MacHenry   Fibonacci Fields . . . . . . . . . . . . 17--24
                 Carsten Elsner   On Diophantine Approximations with
                                  Rational Restricted by Arithmetical
                                  Conditions . . . . . . . . . . . . . . . 25--34
               Paul S. Bruckman   On the Degree of the Characteristic
                                  Polynomial of Powers of Sequences  . . . 35--38
                Neville Robbins   On $t$-Core Partitions . . . . . . . . . 39--48
                   Florian Luca   Equations Involving Arithmetic Functions
                                  of Fibonacci and Lucas Numbers . . . . . 49--55
        Leetsch Charles Hsu and   
                  Evelyn L. Tan   A Refinement of de Bruyn's Formulas for
                                  $ \sum a^k k^p $ . . . . . . . . . . . . 56--59
                      Anonymous   Announcement: Ninth International
                                  Conference . . . . . . . . . . . . . . . 60
                 M. N. S. Swamy   Rising Diagonal Polynomials Associated
                                  with Morgan--Voyce Polynomials . . . . . 61--70
                Vladimir Drobot   On Primes in the Fibonacci Sequences . . 71--72
                  Paul Andaloro   On Total Stopping Times Under $ 3 x + 1
                                  $ Iteration  . . . . . . . . . . . . . . 73--78
                   Tiberiu Trif   Combinatorial Sums and Series Involving
                                  Inverses of Binomial Coefficients  . . . 79--83
                      Anonymous   New Elementary Problem Editors . . . . . 84
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 85--90
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 91--97

Fibonacci Quarterly
Volume 38, Number 2, May, 2000

               J. C. Turner and   
                  A. G. Shannon   On Fibonacci Sequences, Geometry, and
                                  the $m$-Square Equation  . . . . . . . . 98--103
           David A. Englund and   
      Marjorie Bicknell-Johnson   Maximal Subscripts within Generalized
                                  Fibonacci Sequences  . . . . . . . . . . 104--113
                 M. N. S. Swamy   Some Further Properties of André--Jeannin
                                  and Their Companion Polynomials  . . . . 114--122
               R. S. Melham and   
                  Curtis Cooper   The Eigenvectors of a Certain Matrix of
                                  Binomial Coefficients  . . . . . . . . . 123--126
                 Julia Abrahams   Nonexhaustive Generalized Fibonacci
                                  Trees in Unequal Costs Coding Problems   127--135
           Edward B. Burger and   
               Johathan M. Todd   On Diophantine Approximation Below the
                                  Lagrange Constant  . . . . . . . . . . . 136--144
 Narayanaswamy Balakrishnan and   
              Markos V. Koutras   Random Combinations with Bounded
                                  Differences and Cospan . . . . . . . . . 145--156
               Luca Colucci and   
           Ottavio D'Antona and   
               Carlo Mereghetti   Fibonacci and Lucas Numbers as
                                  Cumulative Connection Constants  . . . . 157--164
            Alois Panholzer and   
               Helmut Prodinger   Two Proofs of Filipponi's Formula for
                                  Odd-Subscripted Lucas Numbers  . . . . . 165--166
               Trueman MacHenry   Generalized Fibonacci and Lucas
                                  Polynomials and Multiplicative
                                  Arithmetic Functions . . . . . . . . . . 167--173
                   Sean Bradley   A Geometric Connection between
                                  Generalized Fibonacci Sequences and
                                  Nearly Golden Sections . . . . . . . . . 174--178
                      Anonymous   A Message of Gratitude to Stanley
                                  Rabinowitz . . . . . . . . . . . . . . . 179
                      Anonymous   Announcement: Ninth International
                                  Conference . . . . . . . . . . . . . . . 180
             Stanley Rabinowitz   Elementary Problems and Solutions  . . . 181--185
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 186--193

Fibonacci Quarterly
Volume 38, Number 3, June, 2000

                 Shiro Ando and   
                Daihachiro Sato   On $p$-adic Complementary Theorems
                                  between Pascal's Triangle and the
                                  Modified Pascal Triangle . . . . . . . . 194--200
                 H. C. Williams   A Number Theoretic Function Arising from
                                  Continued Fractions  . . . . . . . . . . 201--211
                  A. F. Horadam   Uniqueness of Representations by
                                  Morgan--Voyce Numbers  . . . . . . . . . 212--215
                      Anonymous   Announcement: Ninth International
                                  Conference . . . . . . . . . . . . . . . 216
                     Bau-Sen Du   Obtaining New Dividing Formulas $ n|Q(n)
                                  $ from the Known Ones  . . . . . . . . . 217--222
              Zhang Wenpeng and   
                        Yi Yuan   On the Fibonacci Numbers and the
                                  Dedekind Sums  . . . . . . . . . . . . . 223--226
                  John M. Holte   Residues of Generalized Binomial
                                  Coefficients Modulo a Prime  . . . . . . 227--238
        Gospava B. Djordjevi\'c   Generalized Jacobthal Polynomials  . . . 239--243
                   Hua-Chieh Li   Conditions for the Existence of
                                  Generalized Fibonacci Primitive Roots    244--249
               Marc Chamberland   Families of Solutions of a Cubic
                                  Diophantine Equation . . . . . . . . . . 250--253
                   R. S. Melham   Alternating Sums of Fourth Powers of
                                  Fibonacci and Lucas Numbers  . . . . . . 254--259
                  A. F. Horadam   Completion of Numerical Values of
                                  Generalized Morgan--Voyce and Related
                                  Polynomials  . . . . . . . . . . . . . . 260--263
               James H. Schmerl   A Remark on Parity Sequences . . . . . . 264--271
                   Hua-Chieh Li   Complete and Reduced Residue Systems of
                                  Second-Order Recurrences Modulo $p$  . . 272--281
         Arthur T. Benjamin and   
          Jennifer J. Quinn and   
              Francis Edward Su   Phased Tilings and Generalized Fibonacci
                                  Identities . . . . . . . . . . . . . . . 282--289

Fibonacci Quarterly
Volume 38, Number 4, August, 2000

              Amitabha Tripathi   The Number of Solutions to $ a x + b y =
                                  n $  . . . . . . . . . . . . . . . . . . 290--293
                   R. S. Melham   Summation of Reciprocals which Involve
                                  Products of Terms from Generalized
                                  Fibonacci Sequences  . . . . . . . . . . 294--298
                James S. Tanton   Fibonacci Numbers, Generating Sets, and
                                  Hexagonal Properties . . . . . . . . . . 299--309
                Piero Filipponi   Evaluation of Certain Infinite Series
                                  Involving Terms of Generalized Sequences 310--315
                   F. T. Howard   In Memoriam --- Lenard Carlitz . . . . . 316
                   David Callan   Certificates of Integrality for Linear
                                  Binomials  . . . . . . . . . . . . . . . 317--325
                   W. Motta and   
                 M. Rachidi and   
                       O. Saeki   Convergent $ \infty $-Generalized
                                  Fibonacci Sequences  . . . . . . . . . . 326--333
        Gospava B. Djordjevi\'c   Derivative Sequences of Generalized
                                  Jacobsthal and Jacobsthal--Lucas
                                  Polynomials  . . . . . . . . . . . . . . 334--338
                  I. Slavutskii   A Remark on the Paper of A. Simalarides:
                                  ``Congruences Mod $p$'' for the
                                  Bernoulli Numbers  . . . . . . . . . . . 339--341
                   Karl Dilcher   Hypergeometric Functions and Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 342--363
              Mehdi Mouline and   
               Mustapha Rachidi   $ \infty $-Generalized Fibonacci
                                  Sequences and Markov Chains  . . . . . . 364--371
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 372--376
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 377--385

Fibonacci Quarterly
Volume 38, Number 5, November, 2000

            Bouaza El Wahbi and   
               Mustapha Rachidi   $r$-Generalized Fibonacci Sequences and
                                  the Linear Moment Problem  . . . . . . . 386--393
                  Margie Ribble   In Memoriam --- Herta Taussig Freitag    394
           Lorenz Halbeisen and   
      Norbert Hungerbühler   Dual Form of Combinatorial Problems and
                                  Laplace Techniques . . . . . . . . . . . 395--407
                Wolfdieter Lang   On Polynomials Related to Powers of the
                                  Generating Function of Catalan's Numbers 408--419
                 Feng-Zhen Zhao   The Integrity of Some Infinite Series    420--424
             Wai-Fong Chuan and   
                         Fei Yu   Extraction Problem of the Pell Sequence  425--431
             Wai-Fong Chuan and   
             Chih-Hao Chang and   
                Yen-Liang Chang   Suffixes of Fibonacci Word Patterns  . . 432--439
               Pentti Haukkanen   On the $k$-ary Convolution of
                                  Arithmetical Functions . . . . . . . . . 440--445
                   R. S. Melham   On an Observation of D'Ocagne Concerning
                                  the Fundamental Sequence . . . . . . . . 446--450
                  A. F. Horadam   Convolution Summations for Pell and
                                  Pell--Lucas Numbers  . . . . . . . . . . 451--462
               Adam Stinchcombe   Letter to the Editor . . . . . . . . . . 463
                     Omar Kihel   On the Extendibility of the Set 1, 2, 5  464--466
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 467--472
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 473--478
                      Anonymous   Volume Index . . . . . . . . . . . . . . 479


Fibonacci Quarterly
Volume 39, Number 1, February, 2001

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2
             George M. Phillips   Report on the Ninth International
                                  Conference . . . . . . . . . . . . . . . 3
                G. L. Cohen and   
                    R. M. Sorli   Harmonic Seeds: Errata . . . . . . . . . 4
          Bouazza Ell Wahbi and   
               Mustapha Rachidi   On $r$-Generalized Fibonacci Sequences
                                  and Hausdorff Moment Problems  . . . . . 5--11
                E. Munarini and   
                C. P. Cippo and   
                    N. Z. Salvi   On the Lucas Cubes . . . . . . . . . . . 12--21
            Rajae Ben Taher and   
               Mustapha Rachidi   Application of the $ \beta $-Algorithm
                                  to the Ratios of $r$-Generalized
                                  Fibonacci Sequences  . . . . . . . . . . 22--26
                  D. Herceg and   
             H. Mali\vci\'c and   
                     I. Liki\'c   The Zeckendorf Numbers and the Inverses
                                  of Some Band Matrices  . . . . . . . . . 27--31
              C. L. Gilbert and   
              J. D. Kolesar and   
               C. A. Reiter and   
                   J. D. Storey   Function Digraphs of Quadrative Maps
                                  Modulo $p$ . . . . . . . . . . . . . . . 32--49
                   Glenn J. Fox   Congruences Relating Rational Values of
                                  Bernoulli and Euler Polynomials  . . . . 50--57
               M. A. Nyblom and   
                    B. G. Sloss   On the solvability of a Family of
                                  Diophantine Equations  . . . . . . . . . 58--65
                  Takao Komatsu   On Palindromic Sequences from Irrational
                                  Numbers  . . . . . . . . . . . . . . . . 66--74
              D. C. Fielder and   
            M. Bicknell-Johnson   The First 330 Terms of Sequence A013583  75--84
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 85--90
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 91--97

Fibonacci Quarterly
Volume 39, Number 2, May, 2001

            Abdelkrim Kihel and   
                     Omar Kihel   Sets in Which the Product of Any $K$
                                  Elements Increased by $t$ Is a $k$ th
                                  Power  . . . . . . . . . . . . . . . . . 98--100
            Steven Shattuck and   
                  Curtis Cooper   Divergent RATS Sequences . . . . . . . . 101--106
                   Michele Elia   Derived Sequences, the Tribonacci
                                  Recurrence and Cubic Forms . . . . . . . 107--115
           Alwyn F. Horadam and   
                Piero Filipponi   Morgan--Voyce Polynomial Derivative
                                  Sequences  . . . . . . . . . . . . . . . 116--122
        Gabriela R. Sanchis and   
               Laura A. Sanchis   On the Frequency of Occurrence of $
                                  \alpha^i $ in the $ \alpha $-Expansions
                                  of the Positive Integers . . . . . . . . 123--137
        Gospava B. Djordjevi\'c   Some Properties of Partial Derivatives
                                  of Generalized Fibonacci and Lucas
                                  Polynomials  . . . . . . . . . . . . . . 138--141
             Darrin D. Frey and   
               James A. Sellers   Generalizing Bailey's Generalization of
                                  the Catalan Numbers  . . . . . . . . . . 142--148
                   M. A. Nyblom   On Irrational Valued Series Involving
                                  Generalized Fibonacci Numbers II . . . . 149--157
             Gwang-Yeon Lee and   
                Sang-Gu Lee and   
                Jin-Soo Kim and   
                 Hang-Kyun Shin   The Binet Formula and Representations of
                                  $k$-Generalized Fibonacci Numbers  . . . 158--164
              Fengzhen Zhao and   
                  Tianming Wang   Generalizations of Some Identities
                                  Involving the Fibonacci Numbers  . . . . 165--167
               B. Bernoussi and   
                   W. Motta and   
                 M. Rachidi and   
                       O. Saeki   Approximation of Infinite Generalized
                                  Fibonacci Sequences and Their Asymptotic
                                  Binet Formula  . . . . . . . . . . . . . 168--180
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 181--186
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 39, Number 3, June, 2001

                    Jack Y. Lee   Some Basic Line-Sequential Properties of
                                  Polynomials Line-Sequences . . . . . . . 194--205
              Wayne L. McDaniel   On the Factorization of Lucas Numbers    206--210
            Dragan Stevanovi\'c   In the Number of Maximal Independent Set
                                  of Vertices in Star-Like Ladders . . . . 211--213
                    Hong Hu and   
                Zhi-Wei Sun and   
                   Jian-Xin Liu   Reciprocal Sums of Second-Order
                                  Recurrent Sequences  . . . . . . . . . . 214--220
                    Jukka Pihko   Remarks on the ``Greedy Odd'' Egyptian
                                  Fraction Algorithm . . . . . . . . . . . 221--227
                Zhenxiang Zhang   Using Lucas Sequences to Factor Large
                                  Integers Near Group Orders . . . . . . . 228--237
                     Judit Nagy   Rational Points in Cantor Sets . . . . . 238--241
            M. N. Deshpande and   
                     Ezra Brown   Diophantine Triplets and the Pell
                                  Sequence . . . . . . . . . . . . . . . . 242--249
               David A. Englund   An Algorithm for Determining $ R(N) $
                                  from the Subscripts of the Zeckendorf
                                  Representation of $N$  . . . . . . . . . 250--252
                 H. G. Grundman   An Analysis of $n$-Riven Numbers . . . . 253--255
                   M. A. Nyblom   On the Representation of the Integers as
                                  a Difference of Nonconsecutive
                                  Triangular Numbers . . . . . . . . . . . 256--263
                   R. S. Melham   Summation of Reciprocals Which Involve
                                  Products of Terms from Generalized
                                  Fibonacci Sequences --- Part II  . . . . 264--267
           Thomas M. Richardson   The Filbert Matrix . . . . . . . . . . . 268--275
                  John A. Ewell   Algorithmic Determination of the
                                  Enumerator for Sums of Three Triangular
                                  Numbers  . . . . . . . . . . . . . . . . 276--278
                    Guodong Liu   Identities and Congruences Involving
                                  Higher-Order Euler--Bernoulli Numbers
                                  and Polynomials  . . . . . . . . . . . . 279--284
              Harunobu Momiyama   A New Recurrence Formula for Bernoulli
                                  Numbers  . . . . . . . . . . . . . . . . 285--289

Fibonacci Quarterly
Volume 39, Number 4, August, 2001

            Umberto Cerruti and   
             Gabriella Margaria   Counting the Number of Solutions of
                                  Equations in Groups by Recurrences . . . 290--298
        V. Siva Rama Prasad and   
               B. Srinivasa Rao   Pentagonal Numbers in the Associated
                                  Pell Sequences and Diophantine Equations
                                  $ x^2 (3 x - 1)^2 = 8 y^2 \pm 4 $  . . . 299--303
            B. J. O. Franco and   
          Antônio Zumpano   Divisibility of the Coefficients of
                                  Chebyshev Polynomials by Primes  . . . . 304--308
                       Dan Levy   The Irreducible Factorization of
                                  Fibonacci Polynomials Over $Q$ . . . . . 309--319
            Leonard Chastkofsky   The Subtractive Euclidean Algorithm and
                                  Fibonacci Numbers  . . . . . . . . . . . 320--323
                   Zhi-Hong Sun   Invariant Sequences Under Binomial
                                  Transformation . . . . . . . . . . . . . 324--333
           Jan-Christoph Puchta   The Number of $k$-Digit Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 334--335
                  Takao Komatsu   Continued Fractions and Newton's
                                  Approximations, II . . . . . . . . . . . 336--338
                   Zhi-Hong Sun   Linear Recursive Sequences and the
                                  Powers of Matrices . . . . . . . . . . . 339--351
                   F. T. Howard   A Tribonacci Identity  . . . . . . . . . 352--357
                   F. T. Howard   The Power of $2$ Dividing the
                                  Coefficients of Certain Power Series . . 358--364
               Clark Kimberling   Symbiotic Numbers Associated with
                                  Irrational Numbers . . . . . . . . . . . 365--372
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 373--377
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 378--383
                      Anonymous   Announcement of the Tenth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 384--385

Fibonacci Quarterly
Volume 39, Number 5, November, 2001

                Mansur S. Boase   A Result About the Primes Dividing
                                  Fibonacci Numbers  . . . . . . . . . . . 386--391
                  Fengzhen Zhao   Summation of Certain Reciprocal Series
                                  Related to the Generalized Fibonacci and
                                  Lucas Numbers  . . . . . . . . . . . . . 392--397
                  Yash Puri and   
                    Thomas Ward   A Dynamical Property Unique to the Lucas
                                  Sequence . . . . . . . . . . . . . . . . 398--402
        Gospava B. Djordjevi\'c   On the Generalized Laguerre Polynomials  403--407
              Fengzhen Zhao and   
                  Tianming Wang   Errata for ``Generalizations of Some
                                  Identities Involving the Fibonacci
                                  Numbers''  . . . . . . . . . . . . . . . 408
                     Luis Navas   Analytic Continuation of the Fibonacci
                                  Dirichlet Series . . . . . . . . . . . . 409--418
                    Jack Y. Lee   Some General Formulas Associated with
                                  the Second-Order Homogeneous Polynomial
                                  Line-Sequences . . . . . . . . . . . . . 419--429
               Clark Kimberling   Enumeration of Paths, Compositions of
                                  Integers, and Fibonacci Numbers  . . . . 430--435
              Fengzhen Zhao and   
                  Tianming Wang   Some Identities for the Generalized
                                  Fibonacci and Lucas Functions  . . . . . 436--438
                  Minoru Yabuta   A Simple Proof of Carmichael's Theorem
                                  on Primitive Divisors  . . . . . . . . . 439--443
              Ira M. Gessel and   
           Tamás Lengyel   On the Order of Stirling Numbers and
                                  Alternating Binomial Coefficient Sums    444--454
  Marjorie Bicknell-Johnson and   
              Daniel C. Fielder   The Least Number Having 331
                                  Representations as a Sum of Distinct
                                  Fibonacci Numbers  . . . . . . . . . . . 455--461
             H. G. Grundman and   
                   E. A. Teeple   Generalized Happy Numbers  . . . . . . . 462--466
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 467--472
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 473--477
                      Anonymous   Announcement of the Tenth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 478
                      Anonymous   Volume Index . . . . . . . . . . . . . . 479


Fibonacci Quarterly
Volume 40, Number 1, February, 2002

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2
                   Wen-Jin Woan   A Combinatorial Proof of a Recursive
                                  Relation of the Motzkin Sequence by
                                  Lattice Paths  . . . . . . . . . . . . . 3--8
    László Szalay   On the Resolution of the Equation $ U_n
                                  = \binom (x, 3) $ and $ V_n = \binom (x,
                                  3) $ . . . . . . . . . . . . . . . . . . 9--12
László Tóth   The Probability that $k$ Positive
                                  Integers Are Pairwise Relatively Prime   13--18
                   Chu Wenchang   Some Binomial Convolution Formulas . . . 19--32
              Paul Thomas Young   On Modified Dickson Polynomials  . . . . 33--40
              Wayne L. McDaniel   On Fibonacci and Pell Numbers of the
                                  Form kx 2  . . . . . . . . . . . . . . . 41--42
               Paul J. Andaloro   The $ 3 x + 1 $ Problem and Directed
                                  Graphs . . . . . . . . . . . . . . . . . 43--54
              Napoleon Gauthier   Book Review: \booktitleFibonacci and
                                  Lucas Numbers with Applications, by
                                  Thomas Koshy . . . . . . . . . . . . . . 55
                Neville Robbins   An Alternate Proof of a Theorem of J.
                                  Ewell  . . . . . . . . . . . . . . . . . 56
                Neville Robbins   On the Number of Partitions into an Even
                                  and Odd Number of Parts  . . . . . . . . 57--58
                    Jack Y. Lee   On the Morgan--Voyce Polynomial
                                  Generalization of the First Kind . . . . 59--65
           Jan-Christoph Puchta   Representation of Numbers with Negative
                                  Digits and Multiplication of Small
                                  Integers . . . . . . . . . . . . . . . . 66--67
           Jan-Christoph Puchta   On the Distribution of Totients  . . . . 68--70
                   R. S. Melham   Reduction Formulas for the Summation of
                                  Reciprocals in Certain Second-Order
                                  Recurring Sequences  . . . . . . . . . . 71--75
                   Florian Luca   Consecutive Binomial Coefficients in
                                  Pythagorean Triples and Squares in the
                                  Fibonacci Sequences  . . . . . . . . . . 76--78
                R. B. Taher and   
                 M. Mouline and   
                     M. Rachidi   Solving Some General Nonhomogeneous
                                  Recurrence Relations of Order $r$ by a
                                  Linearization Method and an Application
                                  to Polynomial and Factorial Polynomial
                                  Cases  . . . . . . . . . . . . . . . . . 79--84
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 85--89
                      Anonymous   Announcement of the Tenth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 90
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 91--97

Fibonacci Quarterly
Volume 40, Number 2, May, 2002

                  A. F. Horadam   Morgan--Voyce Convolutions . . . . . . . 98--105
           Bouazza El Wahbi and   
              Mehdi Mouline and   
               Mustapha Rachidi   Solving Nonhomogeneous Recurrence
                                  Relations of Order $r$ by Matrix Methods 106--117
                 Andrej Dujella   An Extension of an Odd Problem of
                                  Diophantus and Euler --- II  . . . . . . 118--123
                 Ping-an He and   
                 Zhizheng Zhang   The Multiple Sum on the Generalized
                                  Lucas Sequences  . . . . . . . . . . . . 124--127
                     Ziqing Xie   On the Summation of Generalized
                                  Arithmetic-Geometric Trigonometric
                                  Series . . . . . . . . . . . . . . . . . 128--135
               Johann Leida and   
           Yongzhi (Peter) Yang   Pascal Decompositions of Arithmetic and
                                  Convolution Arrays in Matrices . . . . . 136--145
               Rhodes Peele and   
             Pantelimon Stanica   Matrix Powers of Column-Justified Pascal
                                  Triangles and Fibonacci Sequences  . . . 146--152
                   Pingzhi Yuan   A Note on the Divisibility of the
                                  Generalized Lucas Sequences  . . . . . . 153--156
            M. N. Deshpande and   
                 Andrej Dujella   An Interesting Property of a Recurrence
                                  Related to the Fibonacci Sequence  . . . 157--160
              R. Rangarajan and   
                  H. S. Sudheer   The Brahmagupta Polynomials in Two
                                  Complex Variables and Their Conjugates   161--169
              Wenpeng Zhang and   
                        Yuan Yi   On Farey Series and Dedekind Sums  . . . 170--174
             Hans J. H. Tuenter   Walking into an Absolute Sum . . . . . . 175--180
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 181--186
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 40, Number 3, June, 2002

                    John Greene   The Burgstahler Coincidence  . . . . . . 194--202
             Gwang-Yeon Lee and   
                Jin-Soo Kim and   
                    Sang-Gu Lee   Factorizations and Eigenvalues of
                                  Fibonacci and Symmetric Fibonacci
                                  Matrices . . . . . . . . . . . . . . . . 203--211
                  A. F. Horadam   Convolutions for Jacobsthal-Type
                                  Polynomials  . . . . . . . . . . . . . . 212--222
                  A. F. Horadam   Vieta Polynomials  . . . . . . . . . . . 223--232
        V. Siva Rama Prasad and   
               B. Srinivasa Rao   Pentagonal Numbers in the Pell Sequence
                                  and Diophantine Equations $ 2 x^2 = y^2
                                  (3 y - 1)^2 \pm 2 $  . . . . . . . . . . 233--241
                      Anonymous   Dedication to Cal Long . . . . . . . . . 242
                   M. A. Nyblom   On the Representation of the Integers as
                                  a Difference of Squares  . . . . . . . . 243--246
               Xiqiang Zhao and   
             Shuangshuang Dings   Sequences Related to Riordan Arrays  . . 247--252
           James A. Sellers and   
                  Hugh Williams   On the Infinitude of Composite NSW
                                  Numbers  . . . . . . . . . . . . . . . . 253--259
      Marjorie Bicknell-Johnson   The Least Integer Having $p$ Fibonacci
                                  Representations, $p$ Prime . . . . . . . 260--265
              Anatoly S. Izotov   Second-Order Linear Recurrences of
                                  Composite Numbers  . . . . . . . . . . . 266--268
                Neville Robbins   A Divisibility Property of Binary Linear
                                  Recurrences  . . . . . . . . . . . . . . 269--271
                William Paulsen   The Prime Number Maze  . . . . . . . . . 272--279
                    Lin Dazheng   Fibonacci--Lucas Quasi-Cyclic Matrices   280--286
                       Sun Ping   Partition Forms of Fibonacci Numbers . . 287--289

Fibonacci Quarterly
Volume 40, Number 4, August, 2002

                        Hong Hu   On Lucas $v$-Triangles . . . . . . . . . 290--294
                    Arpad Benyi   An Olympiad Problem, Euler's Sequence,
                                  and Stirling's Formula . . . . . . . . . 295--298
                Wolfdieter Lang   On Polynomials Related to Derivatives of
                                  the Generating Function of Catalan
                                  Numbers  . . . . . . . . . . . . . . . . 299--313
                    Yi Yuan and   
                  Wenpeng Zhang   Some Identities Involving the Fibonacci
                                  Polynomials  . . . . . . . . . . . . . . 314--318
               B. Srinivasa Rao   Heptagonal Numbers in the Lucas Sequence
                                  and Diophantine Equations $ x^2 (5 x -
                                  3)^2 = 20 y^2 \pm 16 $ . . . . . . . . . 319--322
         W. F. Klostermeyer and   
               J. L. Goldwasser   Nullspace-Primes and Fibonacci
                                  Polynomials  . . . . . . . . . . . . . . 323--327
               Clark Kimberling   Path-Counting and Fibonacci Numbers  . . 328--338
             Dursun Ta\csci and   
              Ercan Altini\csik   On the Almost Hilbert--Smith Matrices    339--344
                   Zhi-Hong Sun   Five Congruences for Primes  . . . . . . 345--351
                    Guodong Liu   Formulas for Convolution Fibonacci
                                  Numbers and Polynomials  . . . . . . . . 352--357
               Pentti Haukkanen   A Note on Horadam's Sequence . . . . . . 358--361
Roberto Sánchez-Peregrino   Closed Formula for Poly-Bernoulli
                                  Numbers  . . . . . . . . . . . . . . . . 362--364
                Neville Robbins   Some Consequences of Gauss' Triangular
                                  Number Theorem . . . . . . . . . . . . . 365--368
               Patrick Costello   A New Largest Smith Number . . . . . . . 369--371
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 372--378
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 379--385

Fibonacci Quarterly
Volume 40, Number 5, November, 2002

                R. B. Taher and   
                 M. Mouline and   
                     M. Rachidi   Convergence of $r$-Generalized Fibonacci
                                  Sequences and an Extension of
                                  Ostrowski's Condition  . . . . . . . . . 386--393
             Zhizheng Zhang and   
                       Xin Wang   A Note on a Class of Computational
                                  Formulas Involving the Multiple Sum of
                                  Recurrence Sequences . . . . . . . . . . 394--397
                      Anonymous   The Passing of Three Fibonacci
                                  Association Friends  . . . . . . . . . . 398
            Ching-Jua Chang and   
                  Chuang-Wei Ha   Eulerian Polynomials and Related
                                  Explicit Formulas  . . . . . . . . . . . 399--404
              A. G. Shannon and   
                  A. F. Horadam   Reflections on the Lambda Triangle . . . 405--415
                      Anonymous   Report on the Tenth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 416
              A. G. Shannon and   
                 R. L. Ollerton   Combinatorial Matrices and Linear
                                  Recursive Sequences  . . . . . . . . . . 417--423
                  Wenpeng Zhang   On Chebyshev Polynomials and Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 424--428
                  O. Krafft and   
                    M. Schaefer   On the Number of Permutations within a
                                  Given Distance . . . . . . . . . . . . . 429--434
                 Lawrence Somer   Generalization of a Theorem of Drobot    435--437
                    Jack Y. Lee   On the Product of Line-Sequences . . . . 438--440
                Yasuichi Horibe   Fibonacci Tree Is Critically Balanced
                                  --- a Note . . . . . . . . . . . . . . . 441--445
              Giovanni Sburlati   Generalized Fibonacci Sequences and
                                  Linear Congruences . . . . . . . . . . . 446--452
                  F. Chaoui and   
                 M. Mouline and   
                     M. Rachidi   Application of Markov Chains Properties
                                  to $ \infty $-Generalized Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 453--459
                  Minoru Yabuta   Perfect Squares in the Lucas Numbers . . 460--466
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 467--471
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 472--478
                      Anonymous   Volume Index . . . . . . . . . . . . . . 479


Fibonacci Quarterly
Volume 41, Number 1, February, 2003

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2
                  Takao Komatsu   The Interval Associated with a Fibonacci
                                  Number . . . . . . . . . . . . . . . . . 3--6
             Feng-Zhen Zhao and   
                  Tianming Wang   Some Identities Involving the Powers of
                                  the Generalized Fibonacci Numbers  . . . 7--12
           Nathan D. Cahill and   
           John R. D'Errico and   
                 John P. Spence   Complex Factorizations of the Fibonacci
                                  and Lucas Numbers  . . . . . . . . . . . 13--19
            K. T. Atanassov and   
                   R. Knott and   
                   K. Ozeki and   
              A. G. Shannon and   
                      L. Szalay   Inequalities among Related Pairs of
                                  Fibonacci Numbers  . . . . . . . . . . . 20--22
               Xinghua Wang and   
                 Leetsch C. Hsu   A Summation Formula for Power Series
                                  Using Eulerian Fractions . . . . . . . . 23--30
                  Johann Cigler   $q$-Fibonacci Polynomials  . . . . . . . 31--40
              Paul Thomas Young   On Lacunary Recurrences  . . . . . . . . 41--47
                  Chizhong Zhou   Applications of Matrix Theory to
                                  Congruence Properties of $k$ th-Order
                                  F-L Sequences  . . . . . . . . . . . . . 48--58
                   R. S. Melham   On Some Reciprocal Sums of Brousseau: An
                                  Alternative Approach to That of Carlitz  59--62
                   J. C. Turner   Some Fractals in Goldpoint Geometry  . . 63--71
           Tamás Lengyel   Divisibility Properties by Multisection  72--79
                   F. T. Howard   The Sum of the Squares of Two
                                  Generalized Fibonacci Numbers  . . . . . 80--84
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 85--90
             Raymond E. Whitney   Advanced Problems and Solutions  . . . . 91--97

Fibonacci Quarterly
Volume 41, Number 2, May, 2003

                 Carsten Elsner   On Rational Approximations by
                                  Pythagorean Numbers  . . . . . . . . . . 98--104
               David Callan and   
               Helmut Prodinger   An Involutory Matrix of Eigenvectors . . 105--107
             Gwang-Yeon Lee and   
                Jin-Soo Kim and   
                     Tae Ho Cho   Generalized Fibonacci Functions and
                                  Sequences of Generalized Fibonacci
                                  Functions  . . . . . . . . . . . . . . . 108--121
               Florian Luca and   
       \vStefan Porubský   The Multiplicative Group Generated by
                                  the Lehmer Numbers . . . . . . . . . . . 122--132
        Renato M. Capocelli and   
                      Paul Cull   Rounding the Solutions of Fibonacci-Like
                                  Difference Equations . . . . . . . . . . 133--141
                   R. S. Melham   A Fibonacci Identity in the Spirit of
                                  Simson and Gelin--Ces\`aro . . . . . . . 142--143
                  Hong Feng and   
                 Zhizheng Zhang   Computational Formulas for Convoluted
                                  Generalized Fibonacci and Lucas Numbers  144--151
                   M. A. Nyblom   A Non-Integer Property of Elementary
                                  Symmetric Functions in Reciprocals of
                                  Generalized Fibonacci Numbers  . . . . . 152--155
              Walter Carlip and   
                 Lawrence Somer   The Existence of Special Multipliers of
                                  Second-Order Recurrence Sequences  . . . 156--168
      Marjorie Bicknell-Johnson   Stern's Diatomic Array Applied to
                                  Fibonacci Representations  . . . . . . . 169--179
                      Anonymous   Tribute to JoAnn Vine  . . . . . . . . . 180
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 181--186
                   Florian Luca   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 41, Number 3, June, 2003

                 Wai-fong Chuan   Characterizations of $ \alpha $-Words,
                                  Moments, and Determinants  . . . . . . . 194--208
              Krystyna Grytczuk   On Some Classes of Effectively
                                  Integrable Differential Equations and
                                  Functional Recurrences . . . . . . . . . 209--219
                   R. S. Melham   A Three-Variable Identity Involving
                                  Cubes of Fibonacci Numbers . . . . . . . 220--223
                  John A. Ewell   An Elementary Proof of Jacobi's
                                  Four-Square Theorem  . . . . . . . . . . 224--228
                 S. Heubach and   
                P. Z. Chinn and   
                 R. P. Grimaldi   Rises, Levels, Drops and ``$+$'' Signs
                                  in Compositions: Extensions of a Paper
                                  by Alladi and Hoggatt  . . . . . . . . . 229--239
                  A. F. Horadam   Vieta Convolutions and Diagonal
                                  Polynomials  . . . . . . . . . . . . . . 240--252
          Arthur Holshouser and   
              Harold Reiter and   
                James Rudzinski   Dynamic One-Pile Nim . . . . . . . . . . 253--262
José Plínio O. Santos and   
              Milo\vs Ivkovi\'c   Fibonacci Numbers and Partitions . . . . 263--278
               Michele Elia and   
          J. Carmelo Interlando   A Class of Fibonacci Ideal Lattices in $
                                  Z[\zeta_{1 2}] $ . . . . . . . . . . . . 279--289

Fibonacci Quarterly
Volume 41, Number 4, August, 2003

              Belkheir Essebbar   Double Indexed Fibonacci Sequences and
                                  the Bivariate Probability Distribution   290--300
             H. G. Grundman and   
                   E. A. Teeple   Heights of Happy Numbers and Cubic Happy
                                  Numbers  . . . . . . . . . . . . . . . . 301--306
              Mihai Caragiu and   
                   William Webb   On Modular Fibonacci Sets  . . . . . . . 307--309
           Tamás Lengyel   A Nim-Type Game and Continued Fractions  310--320
             Pantelimon Stanica   Generating Functions, Weighted and
                                  Non-Weighted Sums for Powers of
                                  Second-Order Recurrence Sequences  . . . 321--333
                  Zhuo Chen and   
                    John Greene   Some Comments on Baillie--PSW
                                  Pseudoprimes . . . . . . . . . . . . . . 334--344
              Chizhong Zhou and   
              Fredric T. Howard   On the $k$ th-Order F-L Identity . . . . 345--351
                  A. F. Horadam   Unexpected Pell and Quasi Morgan--Voyce
                                  Summation Connections  . . . . . . . . . 352--359
         Arthur T. Benjamin and   
             Judson D. Neer and   
            Daniel E. Otero and   
               James A. Sellers   A Probabilistic View of Certain Weighted
                                  Fibonacci Sums . . . . . . . . . . . . . 360--364
                   Florian Luca   On Positive Numbers $n$ for Which $
                                  \Omega (n) $ Divides $ F_n $ . . . . . . 365--371
                Alan F. Beardon   Sums and Differences of Values of a
                                  Quadratic Polynomial . . . . . . . . . . 372--373
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 374--379
                   Florian Luca   Advanced Problems and Solutions  . . . . 380--383
                      Anonymous   11th International Conference on
                                  Fibonacci Numbers and Their Applications 384--385

Fibonacci Quarterly
Volume 41, Number 5, November, 2003

                  HoKyu Lee and   
                SeungKyung Park   The $r$-Subcomplete Partitions . . . . . 386--396
             Owen J. Brison and   
             J. Eurico Nogueira   Linear Recurring Sequence Subgroups in
                                  the Complex Field  . . . . . . . . . . . 397--404
                  Peter Fenwick   Zeckendorf Integer Arithmetic  . . . . . 405--413
               B. Srinivasa Rao   Heptagonal Numbers in Fibonacci Sequence
                                  and Diophantine Equations $ 4 x^2 = 5
                                  y^2 (5 y - 3)^2 \pm 16 $ . . . . . . . . 414--420
            Hung-Kuei Hsiao and   
                    Shyr-ShenYu   Mapped Shuffled Fibonacci Languages  . . 421--430
       Jean-Marie DeKoninck and   
                  Nicolas Doyon   On the Number of Niven Numbers up to $x$ 431--440
                 Ernst Herrmann   Interval-Filling Sequences Involving
                                  Reciprocal Fibonacci Numbers . . . . . . 441--449
                      Anonymous   The Eleventh International Conference on
                                  Fibonacci Numbers and Their Applications 450
             Gwang-Yeon Lee and   
                    Jin-Soo Kim   The Linear Algebra of the Generalized
                                  Fibonacci Matrices . . . . . . . . . . . 451--465
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 466--471
                   Florian Luca   Advanced Problems and Solutions  . . . . 472--477
                      Anonymous   Volume Index . . . . . . . . . . . . . . 478


Fibonacci Quarterly
Volume 42, Number 1, February, 2004

                      Anonymous   Referees for 2003  . . . . . . . . . . . 2
               Featured Article   Fibonacci Numbers and the
                                  Rogers--Ramanujan Identities . . . . . . 3--27
               Clark Kimberling   Orderings of Products of Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 28--35
             Pasquale J. Arpaia   Generating Solutions for a Special Class
                                  of Diophantine Equations II  . . . . . . 36--37
                Antti Karttunen   On Pascal's Triangle Modulo $2$ in
                                  Fibonacci Representation . . . . . . . . 38--46
                   R. S. Melham   Certain Classes on Finite Sums that
                                  Involve Generalized Fibonacci and Lucas
                                  Numbers  . . . . . . . . . . . . . . . . 47--54
        Bernaissa Bernoussi and   
           Mustapha Rachidi and   
                    Osamu Saeki   Extending the Bernoulli--Euler Method
                                  for Finding Zeros of Holomorphic
                                  Functions  . . . . . . . . . . . . . . . 55--65
             Feng-Zhen Zhao and   
                  Tianming Wang   A Note on Summation of Certain
                                  Reciprocal Series  . . . . . . . . . . . 66--69
             Richard P. Kubelka   Self-Similarity and Symmetries of
                                  Pascal's Triangles and Simplices . . . . 70--75
        Antonio J. Di Scala and   
           Martín Sombra   Intrinsic Palindromes  . . . . . . . . . 76--81
                  A. F. Horadam   ``Fibonacci's Liber Abaci'': A
                                  Translation into Modern English of
                                  Leonardo Pisano's Book of Calculation,
                                  by L. E. Sigler  . . . . . . . . . . . . 82--85
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 86--91
                   Florian Luca   Advanced Problems and Solutions  . . . . 92--97

Fibonacci Quarterly
Volume 42, Number 2, May, 2004

            Rajae Ben Taher and   
               Mustapha Rachidi   On the $E$-Algorithm for Polynomial
                                  Roots and Linear Recurrence Relations    98--105
        Gospava B. Djordjevi\'c   Generating Functions of the Incomplete
                                  Generalized Fibonacci and Generalized
                                  Lucas Numbers  . . . . . . . . . . . . . 106--113
             Lawrence Somer and   
                  Walter Carlip   $p$-Stability of Degenerate Second-Order
                                  Recurrences  . . . . . . . . . . . . . . 114--127
                  Kwang-Wu Chen   Congruences for Euler Numbers  . . . . . 128--140
             Oleg Eterevsky and   
                Maxim Vsemirnov   On the Number of Prime Divisors of
                                  Higher-Order Carmichael Numbers  . . . . 141--148
                  Wenpeng Zhang   Some Identities Involving the Fibonacci
                                  Numbers and Lucas Numbers  . . . . . . . 149--154
                   R. S. Melham   Ye Olde Fibonacci Curiosity Shoppe
                                  Revisited  . . . . . . . . . . . . . . . 155--160
               R. A. Mollin and   
                       K. Cheng   Period Lengths of Continued Fractions
                                  Involving Fibonacci Numbers  . . . . . . 161--169
               P. J. Rippon and   
                      H. Taylor   Even and Odd Periods in Continued
                                  Fractions of Square Roots  . . . . . . . 170--180
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 181--186
                   Florian Luca   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 42, Number 3, August, 2004

               Xiqiang Zhao and   
              Shuangshuang Ding   A Generalized Summation Rule Related to
                                  Stirling Numbers . . . . . . . . . . . . 194--201
                Federico Ardila   The Coefficients of a Fibonacci Power
                                  Series . . . . . . . . . . . . . . . . . 202--204
       Yongzhi (Peter) Yang and   
                   Johann Leida   Pascal Decompositions of Geometric
                                  Arrays in Matrices . . . . . . . . . . . 205--215
           Nathan D. Cahill and   
              Darren A. Narayan   Fibonacci and Lucas Numbers as
                                  Tridiagonal Matrix Determinants  . . . . 216--221
               J. N. Ridley and   
                     M. E. Mays   Compositions of Unions of Graphs . . . . 222--230
                Wolfdieter Lang   Riccati Meets Fibonacci  . . . . . . . . 231--244
             Zhizheng Zhang and   
                       Jun Wang   On Some Identities Involving the
                                  Chebyshev Polynomials  . . . . . . . . . 245--249
             Feng-Zhen Zhao and   
                  Tianming Wang   Some Results on Generalized Fibonacci
                                  and Lucas Numbers and Dedekind Sums  . . 250--255
        Alberto Cavicchioli and   
               Fulvia Spaggiari   Varieties of Fibonacci Type  . . . . . . 256--265
              David Kessler and   
                  Jeremy Schiff   A Combinatoric Proof and Generalization
                                  of Ferguson's Formula for
                                  $k$-Generalized Fibonacci Numbers  . . . 266--273
                Neville Robbins   On Dedekind Sums and Linear Recurrences
                                  of Order Two . . . . . . . . . . . . . . 274--276
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 277--282
                   Florian Luca   Advanced Problems and Solutions  . . . . 283--289

Fibonacci Quarterly
Volume 42, Number 4, November, 2004

               Helmut Prodinger   A Note on a Paper of G. H. Weiss and M.
                                  Dishon . . . . . . . . . . . . . . . . . 290--291
                 Mariano Garcia   Hyperperfect Numbers with Five and Six
                                  Different Prime Factors  . . . . . . . . 292--294
                 Ke-Jian Wu and   
                Zhi-Wei Sun and   
                        Hao Pan   Some Identities for Bernoulli and Euler
                                  Polynomials  . . . . . . . . . . . . . . 295--299
  Slobodan B. Tri\vckovi\'c and   
          Miomir S. Stankovi\'c   On Periodic Solutions of a Certain
                                  Difference Equation  . . . . . . . . . . 300--305
                    N. Gauthier   Convolving the $m$-th Powers of the
                                  Consecutive Integers with the General
                                  Fibonacci Sequence Using Carlitz's
                                  Weighted Stirling Polynomials of the
                                  Second Kind  . . . . . . . . . . . . . . 306--313
             Elena Barcucci and   
        Luc Bélanger and   
                 Sre\vcko Brlek   On Tribonacci Sequences  . . . . . . . . 314--319
         Benaissa Bernoussi and   
           Mustapha Rachidi and   
                    Osamu Saeki   Factorial Binet Formula and
                                  Distributional Moment Formulation of
                                  Generalized Fibonacci Sequences  . . . . 320--329
    Kálmán Liptai   Fibonacci Balancing Numbers  . . . . . . 330--340
                    Yi Wang and   
                    Mingfeng He   Zeros of a Class of Fibonacci-Type
                                  Polynomials  . . . . . . . . . . . . . . 341--347
         Arnold Knopfmacher and   
                Neville Robbins   On Pell Partitions . . . . . . . . . . . 348--352
                   M. A. Nyblom   On the Construction of a Family of
                                  Transcendental Valued Infinite Products  353--358
             George M. Phillips   Report on the Eleventh International
                                  Conference on Fibonacci Numbers and
                                  their Applications . . . . . . . . . . . 359--360
               B. Bernoussi and   
                   W. Motta and   
                 M. Rachidi and   
                       O. Saeki   On Periodic $ \infty $-Generalized
                                  Fibonacci Sequences  . . . . . . . . . . 361--367
                Neville Robbins   On the Parity of the Partition Function  368--369
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 370--376
                   Florian Luca   Advanced Problems and Solutions  . . . . 377--382
                      Anonymous   Volume Index . . . . . . . . . . . . . . 383


Fibonacci Quarterly
Volume 43, Number 1, February, 2005

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2
                Paulo Ribenboim   FFF: (Favorite Fibonacci Flowers)  . . . 3--14
                 Shiro Ando and   
                Daihachiro Sato   On GCD--LCM Duality Between Pascal's
                                  Pyramid and the Modified Pascal Pyramid  15--21
              Wai Chee Shiu and   
                   Chuan I. Chu   Distribution of the Fibonacci Numbers
                                  Modulo $ 3^k $ . . . . . . . . . . . . . 22--28
                Neville Robbins   On the Infinitude of Primes of the Form
                                  $ 3 k + 1 $  . . . . . . . . . . . . . . 29--30
                 Carsten Elsner   On Recurrence Formulae for Sums
                                  Involving Binomial Coefficients  . . . . 31--45
                        Yi Wang   Self-Inverse Sequences Related to a
                                  Binomial Inverse Pair  . . . . . . . . . 46--52
             Neil J. Calkin and   
            John G. Stevens and   
                Diana M. Thomas   A Characterization for the Length of
                                  Cycles of the $N$-Number Ducci Game  . . 53--59
               Wolfgang Steiner   The Joint Distribution of Greedy and
                                  Lazy Fibonacci Expansions  . . . . . . . 60--69
         Yaroslav Latushkin and   
               Vladimir Ushakov   A Representation of Regular Subsequences
                                  of Recurrent Sequences . . . . . . . . . 70--84
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 85--90
                   Florian Luca   Advanced Problems and Solutions  . . . . 91--97

Fibonacci Quarterly
Volume 43, Number 2, May, 2005

                 M. A. Khan and   
                   Harris Kwong   Arithmetic Progressions with Square
                                  Entries  . . . . . . . . . . . . . . . . 98--103
                   Kiyota Ozeki   On Weighted Fibonacci and Lucas Sums . . 104--107
                  A. F. Horadam   Chebyshev and Pell Connections . . . . . 108--121
               Jeffrey L. Meyer   Symmetric Arguments in the Dedekind Sum  122--123
             R. L. Ollerton and   
                  A. G. Shannon   Further Properties of Generalized
                                  Binomial Coefficient $k$-extensions  . . 124--129
              Anatoly S. Izotov   On the Prime Divisors of $ {\rm GCD}(3^n
                                  - 2, 2^n - 3) $  . . . . . . . . . . . . 130--131
                    Guodong Liu   On Congruences of Euler Numbers Modulo
                                  an Odd Square  . . . . . . . . . . . . . 132--136
           Steve Fairgrieve and   
                 Henry W. Gould   Product Difference Fibonacci Identities
                                  of Simson, Gelin--Ces\`aro, Tagiuri and
                                  Generalizations  . . . . . . . . . . . . 137--141
                Neville Robbins   The Lucas Triangle Revisited . . . . . . 142--148
                Thomas E. Price   Products of Elliptical Chord Lengths and
                                  the Fibonacci Numbers  . . . . . . . . . 149--156
          Robert C. Brigham and   
        Julie R. Carrington and   
               Dal Y. Jeong and   
          Richard P. Vitray and   
                     Jay Yellen   Domination in Fibonacci Trees  . . . . . 157--165
                  Mark Norfleet   Characterization of Second-Order Strong
                                  Divisibility Sequences of Polynomials    166--169
            Asamoah Nkwanta and   
               Louis W. Shapiro   Pell Walks and Riordan Matrices  . . . . 170--180
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 181--186
                   Florian Luca   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 43, Number 3, August, 2005

               B. Srinivasa Rao   Heptagonal Numbers in the Pell Sequence
                                  and Diophantine Equations $ 2 x^2 = y^2
                                  (5 y - 3)^2 \pm 2 $  . . . . . . . . . . 194--201
        Gospava B. Djordjevi\'c   Some Properties of the Sequences $ C_{n,
                                  3} = C_{n - 1, 3} + C_{n - 3, 3} + r $   202--207
                Guodong Liu and   
                        Hui Luo   Some Identities Involving Bernoulli
                                  Numbers  . . . . . . . . . . . . . . . . 208--212
              Prerna Bihani and   
      Wendy Pusser Sheppard and   
              Paul Thomas Young   $p$-Adic Interpolation of the Fibonacci
                                  Sequence Via Hypergeometric Functions    213--226
                Fred J. Rispoli   Fibonacci Polytopes and Their
                                  Applications . . . . . . . . . . . . . . 227--233
              Emanuele Munarini   Generalized $q$-Fibonacci Numbers  . . . 234--242
                   Hei-Chi Chan   The Asymptotic Growth Rate of Random
                                  Fibonacci Type Sequences . . . . . . . . 243--255
              Sergey Kitaev and   
                 Toufik Mansour   Linear Recurrences and Chebyshev
                                  Polynomials  . . . . . . . . . . . . . . 256--261
                Jeffrey Shallit   The Mathematics of Per Nòrgård's Rhythmic
                                  Infinity System  . . . . . . . . . . . . 262--268
            Sandi Klav\vzar and   
                 Petra \vZigert   Fibonacci Cubes are the Resonance Graphs
                                  of Fibonaccenes  . . . . . . . . . . . . 269--276
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 277--282
                   Florian Luca   Advanced Problems and Solutions  . . . . 283--289

Fibonacci Quarterly
Volume 43, Number 4, November, 2005

        Gospava B. Djordjevi\'c   On the $K$ th-order derivative sequences
                                  of generalized Fibonacci and Lucas
                                  polynomials  . . . . . . . . . . . . . . 290--298
                   M. A. Nyblom   On the spectrum of real numbers
                                  revisited  . . . . . . . . . . . . . . . 299--301
               B. Srinivasa Rao   Heptagonal numbers in the associated
                                  Pell sequence and Diophantine equations
                                  $ x^2 (5 x - 3)^2 = 8 y^2 \pm 4 $  . . . 302--306
                 Toufik Mansour   Generalizations of some identities
                                  involving the Fibonacci numbers  . . . . 307--315
          Michael D. Hirschhorn   Non-trivial intertwined second-order
                                  recurrence relations . . . . . . . . . . 316--325
              Peter G. Anderson   Book Review: \booktitleProofs that
                                  Really Count: The Art of Combinatorial
                                  Proof, by Arthur T. Benjamin and
                                  Jennifer J. Quinn  . . . . . . . . . . . 326--327
José Plínio O. Santos and   
              Milo\vs Ivkovi\'c   Polynomial generalizations of the Pell
                                  sequences and the Fibonacci sequence . . 328--338
     Daniel P. Biebighauser and   
                Gerald A. Heuer   Final digit strings of powers where the
                                  exponents end in 1, 3, 7 or 9  . . . . . 339--350
                Xia Jianguo and   
                    Qin Hourong   On reverse order numbers of certain
                                  sequences and the Jacobi symbol  . . . . 351--358
                     Yidong Sun   Numerical triangles and several
                                  classical sequences  . . . . . . . . . . 359--370
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 371--376
                   Florian Luca   Advanced Problems and Solutions  . . . . 377--382
                      Anonymous   Volume Index . . . . . . . . . . . . . . 383


Fibonacci Quarterly
Volume 44, Number 1, February, 2006

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2
             Feng-Zhen Zhao and   
                  Tianming Wang   Errata for ``Some identities involving
                                  the powers of the generalized Fibonacci
                                  numbers''  . . . . . . . . . . . . . . . 3--6
                 Lawrence Somer   Lucas sequences $ U_k $ for which $ U_{2
                                  p} $ and $ U_p $ are pseudoprimes for
                                  almost all primes $p$  . . . . . . . . . 7--12
               Sean Bradley and   
             Patrick Brewer and   
          Christopher Brazfield   Generalized arithmetic triangles via
                                  convolution  . . . . . . . . . . . . . . 13--19
          Michael D. Hirschhorn   Coupled second-order recurrences . . . . 20--25
          Michael D. Hirschhorn   Coupled third-order recurrences  . . . . 26--31
               Haixing Zhao and   
                    Xueliang Li   On the Fibonacci numbers of trees  . . . 32--38
            Ching-Hua Chang and   
                   Chung-Wei Ha   On identities involving Bernoulli and
                                  Euler polynomials  . . . . . . . . . . . 39--45
                  John M. Holte   Fractal dimension of arithmetical
                                  structures of generalized binomial
                                  coefficients modulo a prime  . . . . . . 46--58
          Deidra A. Coleman and   
       Christopher J. Dugan and   
           Robert A. McEwen and   
         Clifford A. Reiter and   
                   Tran T. Tang   Periods of $ (q, r) $-Fibonacci
                                  sequences and elliptic curves  . . . . . 59--70
                Neville Robbins   On sums of three squares . . . . . . . . 71--72
                   Hei-Chi Chan   The asymptotic growth rate of random
                                  Fibonacci type sequences II  . . . . . . 73--84
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 85--90
                   Florian Luca   Advanced Problems and Solutions  . . . . 91--97

Fibonacci Quarterly
Volume 44, Number 2, May, 2006

                   Jun Wang and   
                       Xin Wang   On the set of reduced $ \phi
                                  $-partitions of a positive integer . . . 98--102
             Owen J. Brison and   
             J. Eurico Nogueira   Matrices and linear recurrences in
                                  finite fields  . . . . . . . . . . . . . 103--108
               P. Bundschuh and   
                  L. C. Hsu and   
                 P. J.-S. Shiue   Generalized Möbius inversion ---
                                  Theoretical and computational aspects    109--116
                 Jiang Zeng and   
                       Jin Zhou   Applications of Waring's formula to some
                                  identities of Chebyshev polynomials  . . 117--120
                   Zhi-Hong Sun   Primality tests for numbers of the form
                                  $ k \cdot 2^m \pm 1 $  . . . . . . . . . 121--130
                  David Branson   A combinatorial interpretation of
                                  identities involving Stirling numbers
                                  and their generalizations  . . . . . . . 131--140
                   Hei-Chi Chan   $ \pi $ in terms of $ \phi $ . . . . . . 141--144
                   Zhi-Hong Sun   Expansions and identities concerning
                                  Lucas sequences  . . . . . . . . . . . . 145--153
         Roberto B. Corcino and   
        Leetsch Charles Hsu and   
                  Evelyn L. Tan   A $q$-analogue of generalized Stirling
                                  numbers  . . . . . . . . . . . . . . . . 154--165
         Eduardo H. M. Brietzke   Generalization of an identity of Andrews 166--171
           Jaroslav Seibert and   
         Pavel Trojovský   On sums of certain products of Lucas
                                  numbers  . . . . . . . . . . . . . . . . 172--180
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 181--186
                   Florian Luca   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 44, Number 3, August, 2006

                Douglas J. Shaw   The pure numbers generated by the
                                  Collatz sequence . . . . . . . . . . . . 194--201
                 John H. Jaroma   On primes and terms of prime or $ 2^k $
                                  index in the Lehmer sequences  . . . . . 202--208
          Christopher P. French   Fifth roots of Fibonacci fractions . . . 209--215
                 Jovan Dj. Goli   Fibonacci numbers and decimation of
                                  binary sequences . . . . . . . . . . . . 216--223
             Siguna Müller   Some remarks on Williams' public-key
                                  crypto functions . . . . . . . . . . . . 224--234
             Russell Jay Hendel   Linear equalities in Fibonacci numbers   235--248
               Florian Luca and   
                 Lawrence Somer   Lucas sequences for which $ 4 | \phi
                                  (|u_n|) $ for almost all $n$ . . . . . . 249--262
                N. Gauthier and   
               Paul S. Bruckman   Sums of the even integral powers of the
                                  cosecant and secant  . . . . . . . . . . 263--273
           Tamás Lengyel   Identities for the generating function
                                  of the multiset $ \lfloor n \Phi^m
                                  \rfloor $ for $ m = - 1, 1, 2 $  . . . . 274--276
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 277--282
                   Florian Luca   Advanced Problems and Solutions  . . . . 283--289

Fibonacci Quarterly
Volume 44, Number 4, November, 2006

               Martin W. Bunder   Self matching in $ \lfloor n \alpha
                                  \rfloor $  . . . . . . . . . . . . . . . 290--296
               Joshua N. Cooper   Continued fractions with partial
                                  quotients bounded in average . . . . . . 297--301
                    H. W. Gould   The inverse of a finite series and a
                                  third-order recurrent sequence . . . . . 302--315
                 Temba Shonhiwa   Compositions with pairwise relatively
                                  prime summands within a restricted
                                  setting  . . . . . . . . . . . . . . . . 316--323
           Tamás Lengyel   A counting based proof of the
                                  generalized Zeckendorf's theorem . . . . 324--325
                   Zhi-Hong Sun   A criterion for polynomials to be
                                  congruent to the product of linear
                                  polynomials $ \pmod {p} $  . . . . . . . 326--329
             Arthur T. Benjamin   Self-avoiding walks and Fibonacci
                                  numbers  . . . . . . . . . . . . . . . . 330--334
             Vedran Kr\vcadinac   A new generalization of the golden ratio 335--340
                  C. Maniscalco   Isodecimal numbers . . . . . . . . . . . 341--346
              Paul Thomas Young   On Lucas--Bernoulli numbers  . . . . . . 347--357
                 Lawrence Somer   Second-order linear recurrences of
                                  composite numbers  . . . . . . . . . . . 358--361
              Stephan G. Wagner   The Fibonacci number of generalized
                                  Petersen graphs  . . . . . . . . . . . . 362--367
                Neville Robbins   On the number of primitive Pythagorean
                                  triangles with a given inradius  . . . . 368--369
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 370--375
                   Florian Luca   Advanced Problems and Solutions  . . . . 376--382
                      Anonymous   Volume Index . . . . . . . . . . . . . . 383


Fibonacci Quarterly
Volume 45, Number 1, February, 2007

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2
    Olga Bodro\vza-Panti\'c and   
  Angelina Ili\'c-Kova\vcevi\'c   Algebraic structure count of angular
                                  hexagonal-square chains  . . . . . . . . 3--9
                 Lawrence Somer   Special multipliers of $k$ th-order
                                  linear recurrences modulo $ p^r $  . . . 10--21
                  John A. Ewell   Additive evaluation of the divisor
                                  function . . . . . . . . . . . . . . . . 22--25
                  C. Z. Jia and   
                  H. M. Liu and   
                     T. M. Wang   $q$-analogs of generalized Fibonacci and
                                  Lucas polynomials  . . . . . . . . . . . 26--34
                  David K. Neal   Fibonacci fractions from Heron's square
                                  root approximation of the golden ratio   35--38
         Arthur T. Benjamin and   
          Naiomi T. Cameron and   
              Jennifer J. Quinn   Fibonacci determinants --- a
                                  combinatorial approach . . . . . . . . . 39--55
           Christian Ballot and   
                   Michele Elia   Rank and period of primes in the
                                  Fibonacci sequence. A trichotomy . . . . 56--63
                Juan B. Gil and   
          Michael D. Weiner and   
                   Catalin Zara   Complete Padovan sequences in finite
                                  fields . . . . . . . . . . . . . . . . . 64--75
             Wai-Fong Chuan and   
                         Fei Yu   Three new extraction formulae  . . . . . 76--84
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 85--90
                   Florian Luca   Advanced Problems and Solutions  . . . . 91--97

Fibonacci Quarterly
Volume 45, Number 2, May, 2007

               Florian Luca and   
                  Laszlo Szalay   Fibonacci numbers of the form $ p^a \pm
                                  p^b + 1 $  . . . . . . . . . . . . . . . 98--103
            Augustine O. Munagi   Combinations with successions and
                                  Fibonacci numbers  . . . . . . . . . . . 104--114
                  Ron Brown and   
             Jonathan L. Merzel   The number of Ducci sequences with given
                                  period . . . . . . . . . . . . . . . . . 115--121
               Ronald Evans and   
              Jonathan Pearlman   Nonexistence of odd perfect numbers of a
                                  certain form . . . . . . . . . . . . . . 122--127
             Russell Jay Hendel   Factorizations of $ \sum_{j = i}^{n + i
                                  - 1} F_{a j - b} $ . . . . . . . . . . . 128--132
                    Guodong Liu   Some computational formulas for Nörlund
                                  numbers  . . . . . . . . . . . . . . . . 133--137
           Philip Matchett Wood   Bijective proofs for Fibonacci
                                  identities related to Zeckendorf's
                                  theorem  . . . . . . . . . . . . . . . . 138--145
                    Ming Wu and   
                        Hao Pan   Sums of products of Bernoulli numbers of
                                  the second kind  . . . . . . . . . . . . 146--150
               Daniel Eloff and   
          Blair K. Spearman and   
            Kenneth S. Williams   A number field with infinitely many
                                  normal integral bases  . . . . . . . . . 151--154
              Greg Brockman and   
                   Ryan J. Zerr   Asymptotic behavior of certain Ducci
                                  sequences  . . . . . . . . . . . . . . . 155--163
                    Rong Ma and   
                  Wenpeng Zhang   Several identities involving the
                                  Fibonacci numbers and Lucas numbers  . . 164--170
               Brian Curtin and   
                 Ena Salter and   
                    David Stone   Some formulae for the Fibonacci numbers  171--180
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 181--186
                   Florian Luca   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 45, Number 3, August, 2007

                Calvin Long and   
          William C. Schulz and   
                     Shiro Ando   An extension of the GCD Star of David
                                  theorem  . . . . . . . . . . . . . . . . 194--201
                Thomas J. Osler   Vieta-like products of nested radicals
                                  with Fibonacci and Lucas numbers . . . . 202--204
                  John A. Ewell   On the sum-of-divisors function  . . . . 205--207
           Paul S. Bruckman and   
                  Ray S. Melham   Some theorems involving powers of
                                  generalized Fibonacci numbers at
                                  non-equidistant points . . . . . . . . . 208--220
                   Hei-Chi Chan   From Andrews' formula for the Fibonacci
                                  numbers to the Rogers--Ramanujan
                                  identities . . . . . . . . . . . . . . . 221--229
                Neville Robbins   A recursive formula for sums of squares  230--232
                Chris Burns and   
               Benjamin Purcell   Counting the number of winning binary
                                  strings in the $1$-dimensional same game 233--238
              Walter Carlip and   
               Martina Mincheva   Component growth of iteration graphs
                                  under the squaring map modulo $ p^k $    239--246
              Stephan G. Wagner   The Fibonacci number of Fibonacci trees
                                  and a related family of polynomial
                                  recurrence systems . . . . . . . . . . . 247--253
               Jens P. Bode and   
             Heiko Harborth and   
               Clark Kimberling   Complementary Fibonacci sequences  . . . 254--264
                    G. K. Panda   Sequence balancing and cobalancing
                                  numbers  . . . . . . . . . . . . . . . . 265--271
              Helen G. Grundman   Consecutive Zeckendorf--Niven and
                                  lazy-Fibonacci--Niven numbers  . . . . . 272--276
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 277--282
                   Florian Luca   Advanced Problems and Solutions  . . . . 283--289

Fibonacci Quarterly
Volume 45, Number 4, November, 2007

                      Anonymous   In Memoriam: Patricia A. Solsaa  . . . . 290
          Khristo N. Boyadzhiev   Derivative polynomials for $ \tanh $, $
                                  \tan $, $ \sech $ and $ \sec $ in
                                  explicit form  . . . . . . . . . . . . . 291--303
               Clark Kimberling   The equation $ m^2 - 4 k = 5 n^2 $ and
                                  unique representations of positive
                                  integers . . . . . . . . . . . . . . . . 304--312
             George M. Phillips   Index-doubling in sequences by Aitken
                                  acceleration . . . . . . . . . . . . . . 313--321
               Florian Luca and   
             Alain Togbé   On the Diophantine equation $ x^2 + 7^{2
                                  k} = y^n $ . . . . . . . . . . . . . . . 322--326
        Douglas E. Iannucci and   
                   Florian Luca   Catalan numbers, factorials, and sums of
                                  aliquot parts  . . . . . . . . . . . . . 327--336
                H. W. Gould and   
             Jocelyn Quaintance   Products of numbers which obey a
                                  Fibonacci-type recurrence  . . . . . . . 337--346
           Spiros D. Dafnis and   
            Frosso S. Makri and   
           Andreas N. Philippou   Restricted occupancy of $s$ kinds of
                                  cells and generalized Pascal triangles   347--356
              T. Richard Carson   Periodic recurrence relations and
                                  continued fractions  . . . . . . . . . . 357--361
                  Minoru Yabuta   The ABC-conjecture and the powerful
                                  numbers in Lucas sequences . . . . . . . 362--365
             George M. Phillips   Report on the Twelfth International
                                  Conference . . . . . . . . . . . . . . . 366--367
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 368--375
                   Florian Luca   Advanced Problems and Solutions  . . . . 376--382
                      Anonymous   Volume Index . . . . . . . . . . . . . . 383


Fibonacci Quarterly
Volume 46/47, Number 1, February, 2008\slash 2009

                   Joanne Catan   Letter to Fibonacci Association ---
                                  2008/2009 Subscription . . . . . . . . . 2--4
      Marjorie Bicknell Johnson   A Report on the Thirteenth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 5--6
         Arthur T. Benjamin and   
                  Sean S. Plott   A Combinatorial Approach to Fibonomial
                                  Coefficients . . . . . . . . . . . . . . 7--9
                Hayri Ardal and   
         David S. Gunderson and   
             Veselin Jungic and   
           Bruce M. Landman and   
               Kevin Williamson   Ramsey Results Involving the Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 10--17
                Kenneth Edwards   A Pascal-Like Triangle Related to the
                                  Tribonacci Numbers . . . . . . . . . . . 18--25
               Kyle Keepers and   
              Paul Thomas Young   On Higher Order Lucas--Bernoulli Numbers 26--31
                   Hei-Chi Chan   Machin-Type Formulas Expressing $ \pi $
                                  in Terms of $ \phi $ . . . . . . . . . . 32--37
               Robert Booth and   
                 Hieu D. Nguyen   Bernoulli Polynomials and Pascal's
                                  Square . . . . . . . . . . . . . . . . . 38--47
              Charles S. Kahane   A Note on Ramus' Identity and Associated
                                  Recursion Relations  . . . . . . . . . . 48--52
                     Yufei Zhao   The Coefficients of a Truncated
                                  Fibonacci Power Series . . . . . . . . . 53--55
                 N. Garnier and   
               O. Ramaré   Fibonacci Numbers and Trigonometric
                                  Identities . . . . . . . . . . . . . . . 56--61
                   Thomas Stoll   On Hofstadter's Married Functions  . . . 62--67
                 Alexandru Gica   Quadratic Residues in Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 68--72
                  Neal O. Smith   On An `Uncounted' Fibonacci Identity and
                                  Its $q$-Analogue . . . . . . . . . . . . 73--78
             Neculae Vornicescu   Disjoint Covering of $N$ By a
                                  Homogeneous Linear Recurrence  . . . . . 79--84
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 85--90
                   Florian Luca   Advanced Problems and Solutions  . . . . 91--97

Fibonacci Quarterly
Volume 46/47, Number 2, May, 2008\slash 2009

                 H. G. Grundman   Escalator Number Sequences . . . . . . . 98--102
             Paul K. Stockmeyer   A Smooth Tight Upper Bound for the
                                  Fibonacci Representation Function $ R(n)
                                  $  . . . . . . . . . . . . . . . . . . . 103--106
                   Kiyota Ozeki   On Melham's Sum  . . . . . . . . . . . . 107--110
                   Jin-Hui Fang   On almost superperfect numbers . . . . . 111--114
             Roger E. Zarnowski   The Congruence Structure of the $ 3 x +
                                  1 $ Map  . . . . . . . . . . . . . . . . 115--125
           Ligia L. Cristea and   
               Helmut Prodinger   $q$-Enumeration of Up-Down Words By
                                  Number of Rises  . . . . . . . . . . . . 126--134
      Marjorie Bicknell-Johnson   Julia Robinson and Hilbert's Tenth
                                  Problem (DVD)  . . . . . . . . . . . . . 135
                    Guodong Liu   An Identity Involving the Lucas Numbers
                                  and Stirling Numbers . . . . . . . . . . 136--139
                Pierluigi Magli   Identities involving Bernoulli numbers
                                  related to sums of powers of integers    140--145
                    John Greene   The Unboundedness of a Family of
                                  Difference Equations Over the Integers   146--152
           Hideyuki Ohtsuka and   
               Shigeru Nakamura   On the Sum of Reciprocal Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 153--159
            Thomas McKenzie and   
                Shannon Overbay   Purely Periodic Second Order Linear
                                  Recurrences  . . . . . . . . . . . . . . 160--166
            Mourad E. H. Ismail   One Parameter Generalizations of the
                                  Fibonacci and Lucas Numbers  . . . . . . 167--180
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 181--185
                   Florian Luca   Advanced Problems and Solutions  . . . . 186--193

Fibonacci Quarterly
Volume 46/47, Number 3, August, 2008\slash 2009

             George Woltman and   
                 Scott Kurowski   On the discovery of the 45th and 46th
                                  known Mersenne primes  . . . . . . . . . 194--197
                 Lawrence Somer   Lucas Pseudoprimes of Special Types  . . 198--206
               Helmut Prodinger   On a sum of Melham and its variants  . . 207--215
               Florian Luca and   
V. Janitzio Mejía Huguet   Fibonacci--Riesel and
                                  Fibonacci--Sierpinski numbers  . . . . . 216--219
      Christopher J. Hillar and   
               Troels Windfeldt   Fibonacci Identities and Graph Colorings 220--224
                    Yuan He and   
                   Qunying Liao   Some Congruences Involving Euler Numbers 225--234
               Szabolcs Tengely   Finding $g$-gonal numbers in recurrence
                                  sequences  . . . . . . . . . . . . . . . 235--240
           Dragan Ma\vsulovi\'c   The Number of Finite
                                  Homomorphism-Homogeneous Tournaments
                                  with Loops . . . . . . . . . . . . . . . 241--244
                H. W. Gould and   
             Jocelyn Quaintance   Partial Fraction Expansions and a
                                  Question of Bruckman . . . . . . . . . . 245--248
                 Dale Gerdemann   Combinatorial Proofs of Zeckendorf
                                  Family Identities  . . . . . . . . . . . 249--260
                      Anonymous   First Announcement: Fourteenth
                                  International Conference on Fibonacci
                                  Numbers and Their Applications . . . . . 261
               Martin Griffiths   Symmetric rational expressions in the
                                  Fibonacci numbers  . . . . . . . . . . . 262--267
                  Takao Komatsu   On continued fraction expansions of
                                  Fibonacci and Lucas Dirichlet series . . 268--278
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 279--282
                   Florian Luca   Advanced Problems and Solutions  . . . . 283--289

Fibonacci Quarterly
Volume 46/47, Number 4, November, 2008\slash 2009

         Ji\vrí Kla\vska   On Tribonacci--Wieferich Primes  . . . . 290--297
     Jose M. Bonnin-Cadogan and   
      Christopher P. French and   
                     Buchan Xue   Continued Fractions of Roots of
                                  Fibonacci-Like Fractions . . . . . . . . 298--311
                   R. S. Melham   Some Conjectures Concerning Sums of Odd
                                  Powers of Fibonacci and Lucas Numbers    312--315
         Vichian Laohakosol and   
        Kantaphon Kuhapatanakul   Reciprocal Sums of Generalized Second
                                  Order Recurrence Sequences . . . . . . . 316--325
          Khristo N. Boyadzhiev   Power Sum Identities with Generalized
                                  Stirling Numbers . . . . . . . . . . . . 326--330
              Amitabha Tripathi   On Pythagorean Triples Containing a
                                  Fixed Integer  . . . . . . . . . . . . . 331--340
           Mohamed El Bachraoui   Relatively Prime Partitions with Two and
                                  Three Parts  . . . . . . . . . . . . . . 341--345
                   F. Gatta and   
                     A. D'Amico   Sequences $ H_n $ for which $ H_{n + 1}
                                  / H_n $ Approaches the Golden Ratio  . . 346--349
                 Trevor McGuire   On the Periodicity of Certain Recursive
                                  Sequences  . . . . . . . . . . . . . . . 350--355
                   Marco Abrate   Fibonacci Sequences of Quaternions . . . 356--365
              Michael A. Nyblom   On the Construction of a Family of
                                  Almost Power Free Sequences  . . . . . . 366--368
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 369--373
                   Florian Luca   Advanced Problems and Solutions  . . . . 374--380
                      Anonymous   Volume Index . . . . . . . . . . . . . . 381


Fibonacci Quarterly
Volume 48, Number 1, February, 2010

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2--3
               Takashi Agoh and   
                   Karl Dilcher   Recurrence relations for Nörlund numbers
                                  and Bernoulli numbers of the second kind 4--12
               Clark Kimberling   Doubly Interspersed Sequences, Double
                                  Interspersions and Fractal Sequences . . 13--20
     Ji\vrí Kla\vska and   
                 Ladislav Skula   The Cubic Character of the Tribonacci
                                  Roots  . . . . . . . . . . . . . . . . . 21--28
                Emrah Kilic and   
               Helmut Prodinger   A Generalized Filbert Matrix . . . . . . 29--33
              James Mc Laughlin   An Identity Motivated by an Amazing
                                  Identity of Ramanujan  . . . . . . . . . 34--38
         Ismail Naci Cangul and   
               Musa Demirci and   
               Florian Luca and   
  Ákos Pintér and   
             Gökhan Soydan   On the Diophantine Equation $ x^2 + 2^a
                                  \cdot 11^b = y^n $ . . . . . . . . . . . 39--46
          Chris K. Caldwell and   
                  Takao Komatsu   Some Periodicities in the Continued
                                  Fraction Expansions of Fibonacci and
                                  Lucas Dirichlet Series . . . . . . . . . 47--55
                H. W. Gould and   
             Jocelyn Quaintance   Generalizations of Vosmansky's Identity  56--61
                Alex Eustis and   
                  Mark Shattuck   Combinatorial Proofs of Some Formulas
                                  for $ L_m^r $  . . . . . . . . . . . . . 62--67
               A. J. Macfarlane   Use of Determinants to Present
                                  Identities Involving Fibonacci and
                                  Related Numbers  . . . . . . . . . . . . 68--76
                Tyler Clark and   
                   Tom Richmond   Collections of Mutually Disjoint Convex
                                  Subsets of a Totally Ordered Set . . . . 77--79
               Wenchang Chu and   
                Roberta R. Zhou   Two Multiple Convolutions on
                                  Fibonacci-Like Sequences . . . . . . . . 80--84
              Napoleon Gauthier   Thomas Koshy's \booktitleCatalan Numbers
                                  with Applications (Book Review)  . . . . 85--86
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 87--88
                   Florian Luca   Advanced Problems and Solutions  . . . . 89--97

Fibonacci Quarterly
Volume 48, Number 2, May, 2010

             Lawrence Somer and   
                  Curtis Cooper   Lucas $ (a_1, a_2, \ldots {}, a_k = \pm
                                  1) $ Pseudoprimes  . . . . . . . . . . . 98--113
               Steve Butler and   
                  Paul Horn and   
                  Eric Tressler   Intersecting Domino Tilings  . . . . . . 114--120
      Attila Bérczes and   
Kálmán Liptai and   
             István Pink   On Generalized Balancing Sequences . . . 121--128
                     Yan Li and   
                    Lianrong Ma   On the Elements of the Continued
                                  Fractions of Quadratic Irrationals . . . 129--136
             P.-V. Koseleff and   
                      D. Pecker   On Fibonacci Knots . . . . . . . . . . . 137--143
              Amitabha Tripathi   A Note on Products of Primes that Differ
                                  by a Fixed Integer . . . . . . . . . . . 144--149
                   R. S. Melham   On the Representation of Certain Reals
                                  via the Golden Ratio . . . . . . . . . . 150--160
                Emrah Kilic and   
               Eugen J. Ionascu   Certain Binomial Sums with Recursive
                                  Coefficients . . . . . . . . . . . . . . 161--167
               Martin Griffiths   Digit Proportions in Zeckendorf
                                  Representations  . . . . . . . . . . . . 168--174
                 Trevor McGuire   Generalizations of the Periodicity of
                                  Certain Recursive Sequences  . . . . . . 175--181
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 182--183
                   Florian Luca   Advanced Problems and Solutions  . . . . 184--191
                      Anonymous   Fibonacci Conference Announcement  . . . 192--193

Fibonacci Quarterly
Volume 48, Number 3, August, 2010

                      Anonymous   Marjorie Bicknell-Johnson  . . . . . . . 194
                Charles K. Cook   A Report on the Fourteenth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 195--196
                Nils Gaute Voll   The Cassini Identity and Its Relatives   197--201
                    Jukka Pihko   Remarks on the ``Greedy Odd'' Egyptian
                                  Fraction Algorithm II  . . . . . . . . . 202--208
               Clark Kimberling   Polynomials Defined by a Second-Order
                                  Recurrence, Interlacing Zeros, and Gray
                                  Codes  . . . . . . . . . . . . . . . . . 209--218
               Alan Filipin and   
                      Bo He and   
             Alain Togbé   On the $ D(4) $-Triple $ F_{2 k}, F_{2 k
                                  + 6}, F_{2 k + 4} $  . . . . . . . . . . 219--227
     Ji\vrí Kla\vska and   
                 Ladislav Skula   Periods of the Tribonacci Sequence
                                  Modulo a Prime $ p \equiv 1 \pmod {3} $  228--235
                   Tatsuo Konno   Sequences Constructed by a Modified
                                  Inclusion-Exclusion Principle  . . . . . 236--240
                Emrah Kilic and   
                Ilker Akkus and   
               Helmut Prodinger   A Proof of a Conjecture of Melham  . . . 241--248
         Arnold Knopfmacher and   
                Neville Robbins   Some Properties of Cyclic Compositions   249--255
                   R. S. Melham   On Certain Combinations of Higher Powers
                                  of Fibonacci Numbers . . . . . . . . . . 256--259
               Karl Dilcher and   
               Jeffrey L. Meyer   Dedekind Sums and Some Generalized
                                  Fibonacci and Lucas Sequences  . . . . . 260--264
                  Takao Komatsu   Sequences $ \{ H_n \} $ for Which $ H_{n
                                  + 1} / H_n $ Approaches an Irrational
                                  Number . . . . . . . . . . . . . . . . . 265--275
         Arthur T. Benjamin and   
                  Sean S. Plott   Errata --- ``Fibonacci determinants ---
                                  a combinatorial approach'' . . . . . . . 276
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 277--282
                   Florian Luca   Advanced Problems and Solutions  . . . . 283--289

Fibonacci Quarterly
Volume 48, Number 4, November, 2010

              Mark Shattuck and   
        Tamás Waldhauser   Proofs of Some Binomial Identities Using
                                  the Method of Last Squares . . . . . . . 290--297
            Charles K. Cook and   
           Michael R. Bacon and   
             Rebecca A. Hillman   The ``Magicness'' of Powers of Some
                                  Magic Squares  . . . . . . . . . . . . . 298--306
                   R. S. Melham   More on Combinations of Higher Powers of
                                  Fibonacci Numbers  . . . . . . . . . . . 307--311
                Calvin Long and   
                Edward Korntved   Extension of the GCD Star of David
                                  Theorem to More Than Two GCDs  . . . . . 312--316
                 Paul C. Pasles   Fibonacci Matrices and Modular Forms . . 317--323
     Ji\vrí Kla\vska and   
                 Ladislav Skula   A Note on the Cubic Characters of
                                  Tribonacci Roots . . . . . . . . . . . . 324--326
               Clark Kimberling   Partial Sums of Generating Functions as
                                  Polynomial Sequences . . . . . . . . . . 327--334
            Thomas McKenzie and   
                Shannon Overbay   Sums of Second Order Linear Recurrences  335--342
              Cristinel Mortici   Remarks on Complementary Sequences . . . 343--347
            Stefano Barbero and   
            Umberto Cerruti and   
                    Nadir Murru   Solving the Pell Equation Via Rédei
                                  Rational Functions . . . . . . . . . . . 348--357
                  Greg Back and   
                  Mihai Caragiu   The Greatest Prime Factor and Recurrent
                                  Sequences  . . . . . . . . . . . . . . . 358--362
                   Harris Kwong   On Recurrences of Fahr and Ringel: An
                                  Alternate Approach . . . . . . . . . . . 363--365
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 366--372
                   Florian Luca   Advanced Problems and Solutions  . . . . 373--380
                      Anonymous   Volume Index . . . . . . . . . . . . . . 381


Fibonacci Quarterly
Volume 49, Number 1, February, 2011

                      Anonymous   Referees . . . . . . . . . . . . . . . . 2--3
          Peter G. Anderson and   
      Marjorie Bicknell-Johnson   Multidimensional Zeckendorf
                                  Representations  . . . . . . . . . . . . 4--9
                 G. C. Shephard   Multiplicative Identities for Binomial
                                  Coefficients . . . . . . . . . . . . . . 10--21
    Miros\lawa Radziejewska and   
                  Tomasz Schoen   Additive Properties of the Fibonacci
                                  Sequence . . . . . . . . . . . . . . . . 22--27
               Akrur Behera and   
Kálmán Liptai and   
        Gopal Krishna Panda and   
    László Szalay   Balancing with Fibonacci Powers  . . . . 28--33
              Mihai Caragiu and   
        Alexandru Zaharescu and   
                  Mohammad Zaki   On Ducci Sequences with Algebraic
                                  Numbers  . . . . . . . . . . . . . . . . 34--40
             Russell Jay Hendel   Almost-Recursiveness of Reciprocals of
                                  Linearly Recurrent Sequences . . . . . . 41--50
               Martin Griffiths   Fibonacci Diagonals  . . . . . . . . . . 51--56
                 M. A. Khan and   
                   Harris Kwong   Some Binomial Identities Associated with
                                  the Generalized Natural Number Sequence  57--65
             Christian Berg and   
        Antonio J. Durán   Fibonacci Numbers, Euler's $2$-Periodic
                                  Continued Fractions and Moment Sequences 66--75
               Martin Griffiths   Families of Fibonacci and Lucas Sums via
                                  the Moments of a Random Variable . . . . 76--81
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 82--88
                   Florian Luca   Advanced Problems and Solutions  . . . . 89--97

Fibonacci Quarterly
Volume 49, Number 2, May, 2011

                      Anonymous   Fibonacci Conference Announcement  . . . 98
         Arthur T. Benjamin and   
                 Jacob N. Scott   Third and Fourth Binomial Coefficients   99--101
     Jean-Marc Deshouillers and   
                   Florian Luca   On the Distribution of the Euler
                                  Functions with Fibonacci Numbers . . . . 102--109
          Michael D. Hirschhorn   Factorization of Lens Sequences  . . . . 110--115
            Murat Kolo\uglu and   
               Gene S. Kopp and   
           Steven J. Miller and   
                   Yinghui Wang   On the Number of Summands in Zeckendorf
                                  Decompositions . . . . . . . . . . . . . 116--130
                  Dhiraj Holden   Results on the $ 3 x + 1 $ and $ 3 x + d
                                  $ Conjectures  . . . . . . . . . . . . . 131--133
             Paul K. Romano and   
               Harry McLaughlin   On Non-Linear Recursive Sequences and
                                  Benford's Law  . . . . . . . . . . . . . 134--138
               Wenchang Chu and   
                    Nadia N. Li   Power Sums of Pell and Pell--Lucas
                                  Polynomials  . . . . . . . . . . . . . . 139--150
              Vincent Russo and   
               Loren Schwiebert   Beatty Sequences, Fibonacci Numbers, and
                                  the Golden Ratio . . . . . . . . . . . . 151--154
                Christian Avart   A Characterization of Converging Ducci
                                  Sequences Over $ Z_2 $ . . . . . . . . . 155--157
                H. W. Gould and   
             Jocelyn Quaintance   Inverting a Finite Series with Constant
                                  Coefficients . . . . . . . . . . . . . . 158--165
              Wayne L. McDaniel   An Easy Determination of the Fibonacci
                                  and Pell Squares . . . . . . . . . . . . 166--170
                     Jishe Feng   Some New Remarks About the Dying Rabbit
                                  Problem  . . . . . . . . . . . . . . . . 171--176
                   Jeff Bergart   A Fibonacci ``Whack'' Alongside the
                                  Head: My Journey into the World of Book
                                  Collecting . . . . . . . . . . . . . . . 177--179
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 180--186
                   Florian Luca   Advanced Problems and Solutions  . . . . 187--193

Fibonacci Quarterly
Volume 49, Number 3, August, 2011

                      Anonymous   Fibonacci Conference Announcement  . . . 194
               Clark Kimberling   Beatty Sequences and Wythoff Sequences,
                                  Generalized  . . . . . . . . . . . . . . 195--200
             Ralf Bundschuh and   
                Peter Bundschuh   Distribution of Fibonacci and Lucas
                                  Numbers Modulo $ 3^k $ . . . . . . . . . 201--210
             Russell Jay Hendel   Kimberling's $ \lfloor n^2 \alpha
                                  \rfloor - n \lfloor n \alpha \rfloor $
                                  Function . . . . . . . . . . . . . . . . 211--219
                Maxim Vsemirnov   Quadratic Identities For a Class of
                                  Fibonacci-Like Polynomials . . . . . . . 220--226
                   Frank Ruskey   Fibonacci Meets Hofstadter . . . . . . . 227--230
               F. T. Howard and   
                  Curtis Cooper   Some Identities for $r$-Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 231--242
          Michael D. Hirschhorn   Approximating Euler's Constant . . . . . 243--248
               Martin Griffiths   Fibonacci Expressions Arising From a
                                  Coin-Tossing Scenario Involving Pairs of
                                  Consecutive Heads  . . . . . . . . . . . 249--254
               Marco Abrate and   
            Stefano Barbero and   
            Umberto Cerruti and   
                    Nadir Murru   Accelerations of Generalized Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 255--266
           Bassem Ghalayini and   
                 Joseph Malkoun   Golden Proportions in Higher Dimensions  267--272
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 273--280
                   Florian Luca   Advanced Problems and Solutions  . . . . 281

Fibonacci Quarterly
Volume 49, Number 4, November, 2011

         Arthur T. Benjamin and   
              Phyllis Chinn and   
             Jacob N. Scott and   
                     Greg Simay   Combinations of Two-Toned Tilings  . . . 290
                 Jonas \vSiurys   A Tribonacci-Like Sequence of Composite
                                  Numbers  . . . . . . . . . . . . . . . . 298
          Peter G. Anderson and   
                  Curtis Cooper   Every Positive $K$-Bonacci-Like Sequence
                                  Eventually Agrees with a Row of the
                                  $K$-Zeckendorf Array . . . . . . . . . . 303
     Ji\vrí Kla\vska and   
                 Ladislav Skula   Mordell's Equation and the Tribonacci
                                  Family . . . . . . . . . . . . . . . . . 310
         Emrah Kiliç and   
           Helmut Prodinger and   
                Ilker Akkus and   
               Hideyuki Ohtsuka   Formulas for Fibonomial Sums with
                                  Generalized Fibonacci and Lucas
                                  Coefficients . . . . . . . . . . . . . . 320
             Jörn Steuding   What Fibonacci Numbers Have to Do with
                                  Congruent Numbers? . . . . . . . . . . . 330
          Daniel Baczkowski and   
           Olaolu Fasoranti and   
                Carrie E. Finch   Lucas--Sierpi\'nski and Lucas--Riesel
                                  Numbers  . . . . . . . . . . . . . . . . 334
                        Min Sha   On the Cycle Structure of Repeated
                                  Exponentiation Modulo a Prime Power  . . 340
                Andrew V. Sills   Compositions, Partitions, and Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 348
               Martin Griffiths   Binet-Like Formulas From a Simple
                                  Expansion  . . . . . . . . . . . . . . . 355
               Roger C. Alperin   Integer Sequences Generated by $ x_{n +
                                  1} = (x_n^2 + A) / (x_n - 1) $ . . . . . 362
                      Anonymous   Fibonacci Conference Announcement  . . . 366
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 367
                   Florian Luca   Advanced Problems and Solutions  . . . . 374
                      Anonymous   Volume Index . . . . . . . . . . . . . . 381


Fibonacci Quarterly
Volume 50, Number 1, February, 2012

             Jason I. Brown and   
               Karl Dilcher and   
                 Dante V. Manna   Series Representations of Theta
                                  Functions in Terms of a Sequence of
                                  Polynomials  . . . . . . . . . . . . . . 5
             Larry Ericksen and   
              Peter G. Anderson   Patterns in Differences Between Rows in
                                  $k$-Zeckendorf Arrays  . . . . . . . . . 11
               Joseph S. Ozbolt   A New Sequence Derived From a
                                  Combination of Cubes with Volume $ F_n^3
                                  $  . . . . . . . . . . . . . . . . . . . 19
               Wenchang Chu and   
                    Nadia N. Li   Subsequences of Fibonacci and Lucas
                                  Polynomials with Geometric Subscripts    27
                  Diego Marques   The Order of Appearance of Integers at
                                  Most One Away From Fibonacci Numbers . . 36
        Kantaphon Kuhapatanakul   Some Connections Between a Generalized
                                  Tribonacci Triangle and a Generalized
                                  Fibonacci Sequence . . . . . . . . . . . 44
               Brian Curtin and   
         Ena Salter Michael and   
                    David Stone   Lucas' Hyperbolas for Fibonacci Vectors  51
              Michael A. Nyblom   Sophie Germain Primes and the
                                  Exceptional Values of the
                                  Equal-Sum-And-Product Problem  . . . . . 58
                    N. Gauthier   Polynomial Forms for Alternating Sums of
                                  Products of Binomial-Catalan Numbers . . 62
                     David Terr   Some Interesting Infinite Families of
                                  Primitive Pythagorean Triples  . . . . . 68
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 82
                   Florian Luca   Advanced Problems and Solutions  . . . . 89

Fibonacci Quarterly
Volume 50, Number 2, May, 2012

                      Anonymous   Fibonacci Conference Announcement  . . . 98
              Nathan Hamlin and   
                William A. Webb   Representing Positive Integers as a Sum
                                  of Linear Recurrence Sequences . . . . . 99
                Michael Behrend   Proof of Kimberling's ``Even Second
                                  Column'' Conjecture  . . . . . . . . . . 106
           Michael R. Bacon and   
            Charles K. Cook and   
             Russell Jay Hendel   Extending Freitag's Fibonacci-Like Magic
                                  Square to Other Dimensions . . . . . . . 119
          Michael D. Hirschhorn   Estimating the Apéry Numbers  . . . . . . 129
                  Diego Marques   The Order of Appearance of Product of
                                  Consecutive Fibonacci Numbers  . . . . . 132
          Michael D. Hirschhorn   The Number of Sequences of $n$ Tosses of
                                  a Coin with $k$ Pairs of Consecutive
                                  Heads  . . . . . . . . . . . . . . . . . 140
         Stephen R. Wassell and   
                Samantha Benito   Edge-Length Ratios Between Dual Platonic
                                  Solids: a Surprisingly New Result
                                  Involving the Golden Ratio . . . . . . . 144
              Diego Marques and   
         Pavel Trojovský   On Some New Sums of Fibonomial
                                  Coefficients . . . . . . . . . . . . . . 155
    Rigoberto Flórez and   
                  Leandro Junes   GCD Properties in Hosoya's Triangle  . . 163
                 Joshua Ide and   
                Marc S. Renault   Power Fibonacci Sequences  . . . . . . . 175
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 180
                   Florian Luca   Advanced Problems and Solutions  . . . . 187

Fibonacci Quarterly
Volume 50, Number 3, August, 2012

      Marjorie Bicknell Johnson   A Report on the Fifteenth International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 194
             Lawrence Somer and   
       Michal K\vrí\vzek   Power Digraphs Modulo $n$ are Symmetric
                                  of Order $M$ If and Only If $M$ is
                                  Square Free  . . . . . . . . . . . . . . 196
                Sam Vandervelde   On the Divisibility of Fibonacci
                                  Sequences by Primes of Index Two . . . . 207
               Marc Chamberland   Finite Trigonometric Product and Sum
                                  Identities . . . . . . . . . . . . . . . 217
                  Takao Komatsu   Congruent Numbers and Continued
                                  Fractions  . . . . . . . . . . . . . . . 222
                  Kwang-Wu Chen   Extensions of An Amazing Identity of
                                  Ramanujan  . . . . . . . . . . . . . . . 227
                      Ph. Ellia   A Remark on the Radical of Odd Perfect
                                  Numbers  . . . . . . . . . . . . . . . . 231
       Friedrich Pillichshammer   On the Discrepancy of the Van Der Corput
                                  Sequence Indexed by Fibonacci Numbers    235
                  Diego Marques   The Order of Appearance of Powers of
                                  Fibonacci and Lucas Numbers  . . . . . . 239
              Russell Euler and   
                    Jawad Sadek   Congruence Relations from Binet Forms    246
               Marco Abrate and   
            Stefano Barbero and   
            Umberto Cerruti and   
                    Nadir Murru   Periodic Representations for Cubic
                                  Irrationalities  . . . . . . . . . . . . 252
                Christian Avart   Reversing Ducci Sequences  . . . . . . . 265
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 272
                   Florian Luca   Advanced Problems and Solutions  . . . . 280

Fibonacci Quarterly
Volume 50, Number 4, November, 2012

      Marjorie Bicknell Johnson   The Fibonacci Quarterly: Fifty Years . . 290
               Clark Kimberling   Limits of Polynomial Sequences . . . . . 294
              Caroline Shapcott   $C$-Color Compositions and Palindromes   297
               Martin W. Bunder   Horadam Functions and Powers of
                                  Irrationals  . . . . . . . . . . . . . . 304
                  David E. Rush   Degree $n$ Relatives of the Golden Ratio
                                  and Resultants of the Corresponding
                                  Polynomials  . . . . . . . . . . . . . . 313
                     Kit-Ho Mak   An Analogue of the Ducci Sequences Over
                                  Function Fields  . . . . . . . . . . . . 326
                        A. Sofo   Finite Sums in Pascal's Triangle . . . . 337
                  Diego Marques   Fixed Points of the Order of Appearance
                                  in the Fibonacci Sequence  . . . . . . . 346
               Martin Griffiths   Extending the Domains of Definition of
                                  Some Fibonacci Identities  . . . . . . . 352
             James Diffenderfer   A Bijection Between Two Classes of
                                  Restricted Compositions  . . . . . . . . 360
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 366
                   Florian Luca   Advanced Problems and Solutions  . . . . 374
                      Anonymous   Volume Index . . . . . . . . . . . . . . 382


Fibonacci Quarterly
Volume 51, Number 1, February, 2013

             Lawrence Somer and   
           Michal Krízek   Easy Criteria to Determine if a Prime
                                  Divides Certain Second-Order Recurrences 3
            Olivia Beckwith and   
               Amanda Bower and   
               Louis Gaudet and   
              Rachel Insoft and   
                   Shiyu Li and   
           Steven J. Miller and   
                Philip Tosteson   The Average Gap Distribution For
                                  Generalized Zeckendorf Decompositions    13
         Ovidiu D. Bagdasar and   
              Peter J. Larcombe   On the Characterization of Periodic
                                  Complex Horadam Sequences  . . . . . . . 28
                  Diego Marques   The Order of Appearance of the Product
                                  of Consecutive Lucas Numbers . . . . . . 38
     Constantinos Georghiou and   
       Andreas N. Philippou and   
               Abolfazl Saghafi   On the Modes of the Poisson Distribution
                                  of Order $k$ . . . . . . . . . . . . . . 44
    Kantaphon Kuhapatanakul and   
          Rattanapol Wasutharat   Expressions for the Products of the
                                  Second Order Linear Recurrences  . . . . 49
            Joseph B. Dence and   
                Thomas P. Dence   On Inverse Relations for General Lucas
                                  Sequences of Polynomials . . . . . . . . 55
                  Mark Shattuck   Combinatorial Proofs of Determinant
                                  Formulas for the Fibonacci and Lucas
                                  Polynomials  . . . . . . . . . . . . . . 63
                    A. Schinzel   On Divisibility by $ (a^k - b^k) / (a -
                                  b) $ . . . . . . . . . . . . . . . . . . 72
              Diego Marques and   
           James A. Sellers and   
         Pavel Trojovský   On Divisibility Properties of Certain
                                  Fibonomial Coefficients by a Prime . . . 78
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 84
                   Florian Luca   Advanced Problems and Solutions  . . . . 91

Fibonacci Quarterly
Volume 51, Number 2, May, 2013

           John B. Cosgrave and   
                   Karl Dilcher   Pairs of Reciprocal Quadratic
                                  Congruences Involving Primes . . . . . . 98
               Florian Luca and   
          Aynur Yalçiner   $L$-Functions of Elliptic Curves and
                                  Fibonacci Numbers  . . . . . . . . . . . 112
                    A. Schinzel   A Property of Lehmer Numbers . . . . . . 119
      Michael D. Hirschhorn and   
                 Vasile Sinescu   Elementary Algebra in Ramanujan's Lost
                                  Notebook . . . . . . . . . . . . . . . . 123
          Alexander Collins and   
         Charles Dedrickson and   
                       Hua Wang   Binary Words, $n$-Color Compositions and
                                  Bisection of the Fibonacci Numbers . . . 130
                Christian Avart   A Result About Cycles in Ducci Sequences 137
            Romeo Me\vstrovi\'c   A Lucas Type Theorem Modulo Prime Powers 142
                 John Estes and   
             William Staton and   
                       Bing Wei   Independent Sets of Cardinality $s$ of
                                  Maximal Outerplanar Graphs . . . . . . . 147
              Brandon Avila and   
                    Yongyi Chen   On Moduli For Which the Lucas Numbers
                                  Contain a Complete Residue System  . . . 151
Emrah Kílíç and   
               Helmut Prodinger   Variants of the Filbert Matrix . . . . . 153
          Michael D. Hirschhorn   The Asymptotic Behavior of $ \prod_{k =
                                  0}^n n \choose k $ . . . . . . . . . . . 163
          Peter J. Larcombe and   
             Ovidiu D. Bagdasar   On a Result of Bunder Involving Horadam
                                  Sequences: a Proof and Generalization    174
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 177
                   Florian Luca   Advanced Problems and Solutions  . . . . 186

Fibonacci Quarterly
Volume 51, Number 3, August, 2013

             Lawrence Somer and   
           Michal Krízek   Prime Lehmer and Lucas Numbers With
                                  Composite Indices  . . . . . . . . . . . 194
          Michael D. Hirschhorn   Estimating the Apéry Numbers II . . . . . 215
            Jonny Griffiths and   
               Martin Griffiths   Fibonacci-Related Sequences via Iterated
                                  QRT Maps . . . . . . . . . . . . . . . . 218
               Florian Luca and   
                  Laszlo Szalay   On the Counting Function of Triples
                                  Whose Pairwise Products Are Close to
                                  Fibonacci Numbers  . . . . . . . . . . . 228
                  Diego Marques   Sharper Upper Bounds for the Order of
                                  Appearance in the Fibonacci Sequence . . 233
                G. K. Panda and   
                     S. S. Rout   Gap Balancing Numbers  . . . . . . . . . 239
             Connor Ahlbach and   
             Jeremy Usatine and   
         Christiane Frougny and   
             Nicholas Pippenger   Efficient Algorithms for Zeckendorf
                                  Arithmetic . . . . . . . . . . . . . . . 249
          Michael D. Hirschhorn   A Naive Proof that $ F_{5n} \equiv 0
                                  \pmod 5 $  . . . . . . . . . . . . . . . 256
                   Daryl Deford   Counting Rearrangements on Generalized
                                  Wheel Graphs . . . . . . . . . . . . . . 259
                Nils Gaute Voll   Some Identities for Four Term Recurrence
                                  Relations  . . . . . . . . . . . . . . . 268
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 274
                   Florian Luca   Advanced Problems and Solutions  . . . . 282
                      Anonymous   Fibonacci Conference Announcement  . . . 288

Fibonacci Quarterly
Volume 51, Number 4, November, 2013

             Lawrence Somer and   
       Michal K\vrí\vzek   Fixed Points and Upper Bounds for the
                                  Rank of Appearance in Lucas Sequences    291
        Chatchawan Panraksa and   
      Aram Tangboonduangjit and   
                 Keng Wiboonton   Exact Divisibility Properties of Some
                                  Subsequences of Fibonacci Numbers  . . . 307
               Christian Ballot   On Zeckendorf and Base $b$ Digit Sums    319
          Michael D. Hirschhorn   The Number of $1$'s in the Partitions of
                                  $n$  . . . . . . . . . . . . . . . . . . 326
            Cheng Lien Lang and   
                 Mong Lung Lang   Fibonacci Numbers and Identities . . . . 330
         Ovidiu D. Bagdasar and   
              Peter J. Larcombe   On the Number of Complex Horadam
                                  Sequences with a Fixed Period  . . . . . 339
              Christian Richter   A Note on Perfect Tilings of Rectangles
                                  with Rectangles  . . . . . . . . . . . . 348
               Leonid Bedratyuk   Derivations and Identitites for
                                  Fibonacci and Lucas Polynomials  . . . . 351
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 367
                   Florian Luca   Advanced Problems and Solutions  . . . . 374
                      Anonymous   Volume Index . . . . . . . . . . . . . . 381


Fibonacci Quarterly
Volume 52, Number 1, February, 2014

                      Anonymous   Fibonacci Conference Announcement  . . . 2
      Mohamed Taoufiq Damir and   
            Bernadette Faye and   
               Florian Luca and   
                    Amadou Tall   Members of Lucas Sequences Whose Euler
                                  Function Is a Power of $2$ . . . . . . . 3
          Michael D. Hirschhorn   The Number of Different Parts in the
                                  Partitions of $n$  . . . . . . . . . . . 10
                Neville Robbins   On Tribonacci Numbers and $3$-Regular
                                  Compositions . . . . . . . . . . . . . . 16
                 M. A. Khan and   
                   Harris Kwong   On Sums of Products of Fibonacci-Type
                                  Recurrences  . . . . . . . . . . . . . . 20
Esther M. García-Caballero and   
           Samuel G. Moreno and   
             Michael P. Prophet   New Vi\`ete-Like Infinite Products of
                                  Nested Radicals with Fibonacci and Lucas
                                  Numbers  . . . . . . . . . . . . . . . . 27
              Mihai Caragiu and   
        Alexandru Zaharescu and   
                  Mohammad Zaki   On Ducci Sequences with Primes . . . . . 32
                    H. Sedaghat   Zero-Avoiding Solutions of the Fibonacci
                                  Recurrence Modulo a Prime  . . . . . . . 39
                   Kyle Fox and   
      William B. Kinnersley and   
            Daniel McDonald and   
               Nathan Orlow and   
               Gregory J. Puleo   Spanning Paths in Fibonacci-Sum Graphs   46
                  Takao Komatsu   Some Generalized Fibonacci Identities
                                  Including Powers and Binomial
                                  Coefficients . . . . . . . . . . . . . . 50
             Linus Lindroos and   
               Andrew Sills and   
                       Hua Wang   Odd Fibbinary Numbers and the Golden
                                  Ratio  . . . . . . . . . . . . . . . . . 61
              Burghard Herrmann   The Golden Sequence  . . . . . . . . . . 66
           Ana Paula Chaves and   
                  Diego Marques   A Diophantine Equation Related to the
                                  Sum of Squares of Consecutive
                                  $k$-Generalized Fibonacci Numbers  . . . 70
          Peter J. Larcombe and   
              Eric J. Fennessey   A Non-Linear Identity for a Particular
                                  Class of Polynomial Families . . . . . . 75
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 80
                   Florian Luca   Advanced Problems and Solutions  . . . . 87

Fibonacci Quarterly
Volume 52, Number 2, May, 2014

                N. J. A. Sloane   $ 2178 $ And All That  . . . . . . . . . 99
         Arthur T. Benjamin and   
              Curtis R. Heberle   Counting on $r$-Fibonacci Numbers  . . . 121
                  Kunle Adegoke   The Golden Ratio, Fibonacci Numbers and
                                  BBP-Type Formulas  . . . . . . . . . . . 129--138
                  Toshio Nakata   Another Probabilistic Proof of a
                                  Binomial Identity  . . . . . . . . . . . 139
                   Thomas Koshy   Polynomial Extensions of the Lucas and
                                  Ginsburg Identities  . . . . . . . . . . 141
                Lenny Jones and   
                Maria Markovich   Generating Composite Sequences by
                                  Appending Digits to Special Types of
                                  Integers . . . . . . . . . . . . . . . . 148
     Tauno Metsänkylä   Note on Kummer's Congruences for Euler
                                  Numbers  . . . . . . . . . . . . . . . . 160
       Kritkhajohn Onphaeng and   
          Prapanpong Pongsriiam   Subsequences and Divisibility by Powers
                                  of the Fibonacci Numbers . . . . . . . . 163
               Martin W. Bunder   Products and Powers, Powers and
                                  Exponentiations, \ldots  . . . . . . . . 172
          Peter J. Larcombe and   
         Ovidiu D. Bagdasar and   
              Eric J. Fennessey   On a Result of Bunder Involving Horadam
                                  Sequences: A New Proof . . . . . . . . . 175
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 178
                   Florian Luca   Advanced Problems and Solutions  . . . . 185

Fibonacci Quarterly
Volume 52, Number 3, August, 2014

                Charles K. Cook   RIT Redux  . . . . . . . . . . . . . . . 194
               Clark Kimberling   Fusion, Fission, and Factors . . . . . . 195
           Andreas N. Philippou   A Note on the Modes of the Poisson
                                  Distribution of Order $k$  . . . . . . . 203
                 Douglas Bowman   Fibonacci Contractions of Continued
                                  Fractions  . . . . . . . . . . . . . . . 206
               Pascal Ochem and   
               Michaël Rao   Another Remark on the Radical of an Odd
                                  Perfect Number . . . . . . . . . . . . . 215
               Martin Griffiths   Some Identities via Geometric Series . . 218
                Donald M. Davis   $p$-Adic Stirling Numbers of the Second
                                  Kind . . . . . . . . . . . . . . . . . . 226
          Peter J. Larcombe and   
             Sam T. O'Neill and   
              Eric J. Fennessey   On Certain Series Expansions of the Sine
                                  Function: Catalan Numbers and
                                  Convergence  . . . . . . . . . . . . . . 236
              Russell Euler and   
                    Jawad Sadek   On a Generalized Pell Equation and a
                                  Characterization of the Fibonacci and
                                  Lucas Numbers  . . . . . . . . . . . . . 243
        Philippe Demontigny and   
                    Thao Do and   
            Archit Kulkarni and   
           Steven J. Miller and   
                    Umang Varma   A Generalization of Fibonacci
                                  Far-Difference Representations and
                                  Gaussian Behavior  . . . . . . . . . . . 247
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 274
                   Florian Luca   Advanced Problems and Solutions  . . . . 281

Fibonacci Quarterly
Volume 52, Number 4, November, 2014

            Shanta Laishram and   
                   Florian Luca   Fibonacci Numbers of the Form $ x a \pm
                                  x b \pm 1 $  . . . . . . . . . . . . . . 290
              Eric F. Bravo and   
              Jhon J. Bravo and   
                   Florian Luca   Coincidences in Generalized Lucas
                                  Sequences  . . . . . . . . . . . . . . . 296
                 Kevin Hare and   
           Helmut Prodinger and   
                Jeffrey Shallit   Three Series for the Generalized Golden
                                  Mean . . . . . . . . . . . . . . . . . . 307
             John Blythe Dobson   On the Andrews Congruence for the
                                  Fibonacci Quotient . . . . . . . . . . . 314
             Jenica Cr\^\inganu   On Approximating Euler's Constant  . . . 318
          Michael D. Hirschhorn   Stirling Without Wallis  . . . . . . . . 321
         Andrzej P. Kisielewicz   Some Binomial Identities Arising From a
                                  Partition of an $n$-Dimensional Cube . . 325
               Martin Griffiths   Fixed-Term Zeckendorf Representations    331
            Charles K. Cook and   
               Michael R. Bacon   Some Polygonal Number Summation Formulas 336
                Shane Chern and   
                      Alvin Cui   Fibonacci Numbers Close to a Power of 2  344
          Peter J. Larcombe and   
              Eric J. Fennessey   Conditions Governing Cross-Family Member
                                  Equality in a Particular Class of
                                  Polynomial Families  . . . . . . . . . . 349
                  Kunle Adegoke   A New Binary BBP-Type Formula for $
                                  \sqrt{5} \log \phi $ . . . . . . . . . . 357--359
                    D. J. Grubb   Factoring Chebyshev Polynomials  . . . . 360
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 367
                   Florian Luca   Advanced Problems and Solutions  . . . . 374
                      Anonymous   Volume Index . . . . . . . . . . . . . . 381

Fibonacci Quarterly
Volume 52, Number 5, December, 2014

                      Anonymous   Cover page . . . . . . . . . . . . . . . i
                      Anonymous   Introduction . . . . . . . . . . . . . . iii
                      Anonymous   Foreword . . . . . . . . . . . . . . . . v
      Marjorie Bicknell-Johnson   The Fibonacci Association: Historical
                                  Snapshots  . . . . . . . . . . . . . . . 1
           Clark Kimberling and   
                 Problem Editor   Problem Proposals  . . . . . . . . . . . 5
              Peter G. Anderson   More Properties of the Zeckendorf Array  15
     Krassimir T. Atanassov and   
            Daryl R. DeFord and   
             Anthony G. Shannon   Pulsated Fibonacci Recurrences . . . . . 22
         Arthur T. Benjamin and   
              Elizabeth Reiland   Combinatorial Proofs of Fibonomial
                                  Identities . . . . . . . . . . . . . . . 28
                Andrew Best and   
              Patrick Dynes and   
          Xixi Edelsbrunner and   
             Brian McDonald and   
           Steven J. Miller and   
                  Kimsy Tor and   
Caroline Turnage-Butterbaugh and   
            Madeleine Weinstein   Benford Behavior of Zeckendorf
                                  Decompositions . . . . . . . . . . . . . 35
                Andrew Best and   
              Patrick Dynes and   
          Xixi Edelsbrunner and   
             Brian McDonald and   
           Steven J. Miller and   
                  Kimsy Tor and   
Caroline Turnage-Butterbaugh and   
            Madeleine Weinstein   Gaussian Behavior of the Number of
                                  Summands in Zeckendorf Decompositions in
                                  Small Intervals  . . . . . . . . . . . . 47
            Daniel Birmajer and   
                Juan B. Gil and   
              Michael D. Weiner   Convolutions of Tribonacci,
                                  Fuss--Catalan, and Motzkin Sequences . . 54
               Jens-P. Bode and   
                 Heiko Harborth   Steinhaus Triangles with Generalized
                                  Pascal Addition  . . . . . . . . . . . . 61
             Minerva Catral and   
                  Pari Ford and   
              Pamela Harris and   
           Steven J. Miller and   
                    Dawn Nelson   Generalizing Zeckendorf's Theorem: The
                                  Kentucky Sequence  . . . . . . . . . . . 68
                  Curtis Cooper   Algebraic Statements Similar to Those in
                                  Ramanujan's ``\booktitleLost Notebook''  91
                   Daryl DeFord   Enumerating Distinct Chessboard Tilings  102
          M. Cetin Firengiz and   
                     Naim Tuglu   On the $q$-Seidel Matrix . . . . . . . . 117
             Russell Jay Hendel   A Cayley--Hamilton and Circulant
                                  Approach to Jump Sums  . . . . . . . . . 124
           Clark Kimberling and   
              Peter J. C. Moses   The Infinite Fibonacci Tree and Other
                                  Trees Generated by Rules . . . . . . . . 136
              Takao Komatsu and   
Zuzana Masáková and   
         Edita Pelantová   Higher-Order Identities for Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 150
               Florian Luca and   
         Pantelimon St\uanic\ua   On Fibonacci Numbers which are Elliptic
                                  Korselt Numbers  . . . . . . . . . . . . 164
                Sam Northshield   Three Analogues of Stern's Diatomic
                                  Sequence . . . . . . . . . . . . . . . . 168
                G. K. Panda and   
                    A. K. Panda   Balancing-like Sequences Associated with
                                  Integral Standard Deviations of
                                  Consecutive Natural Numbers  . . . . . . 187
         Pantelimon St\uanic\ua   Normic Continued Fractions in Totally
                                  and Tamely Ramified Extensions of Local
                                  Fields . . . . . . . . . . . . . . . . . 193
               William Webb and   
                  Nathan Hamlin   Compositions and Recurrences . . . . . . 201
              Paul Thomas Young   Symmetries of Stirling Number Series . . 205
                Yifan Zhang and   
                George Grossman   Diophantine Triples and the
                                  Extendibility of $ \{ 1, 2, 5 \} $, $ \{
                                  1, 5, 10 \} $  . . . . . . . . . . . . . 212


Fibonacci Quarterly
Volume 53, Number 1, February, 2015

             Lawrence Somer and   
       Michal K\vrí\vzek   On Primes in Lucas Sequences . . . . . . 2
              Nathan Hamlin and   
        Bala Krishnamoorthy and   
                   William Webb   A Knapsack-Like Code Using Recurrence
                                  Sequence Representations . . . . . . . . 24
           Patrick Flanagan and   
            Marc S. Renault and   
                    Josh Updike   Symmetries of Fibonacci Points, Mod $m$  34
          Michael D. Hirschhorn   A Connection Between $ \pi $ and $ \Phi
                                  $  . . . . . . . . . . . . . . . . . . . 42
          Michael D. Hirschhorn   Ramanujan's Last Problem . . . . . . . . 48
          Gábor Nyul and   
                   Bettina Rauf   On the Existence of van der Waerden Type
                                  Numbers For Linear Recurrence Sequences
                                  with Constant Coefficients . . . . . . . 53
           Martin Griffiths and   
            William Wynn-Thomas   A Property of a Fibonacci Staircase  . . 61
          Russell A. Gordon and   
                 Sara L. Graham   Comments on Proofs That There are No
                                  Four Squares in Arithmetic Progression   68
               Helmut Prodinger   Two Families of Series for the
                                  Generalized Golden Ratio . . . . . . . . 74
             Philippe Ellia and   
                Paolo Menegatti   Ramanujan--Nagell Type Equations and
                                  Perfect Numbers  . . . . . . . . . . . . 78
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 81
                   Florian Luca   Advanced Problems and Solutions  . . . . 88
                      Anonymous   The John Riordan Prize . . . . . . . . . 96

Fibonacci Quarterly
Volume 53, Number 2, May, 2015

        Abdullah Al-Shaghay and   
                   Karl Dilcher   Congruences for Partial Sums of
                                  Reciprocals  . . . . . . . . . . . . . . 98
             Russell Jay Hendel   Quasi-Periods for the Hofstadter $Q$
                                  Function . . . . . . . . . . . . . . . . 112
                   Alan Filipin   The Extendibility of $ D(4) $-Pair $ \{
                                  F_{2k}, 5 F_{2k} \} $  . . . . . . . . . 124
                 Kimmo Berg and   
        János Flesch and   
                Frank Thuijsman   Golden and Silver Ratios in Bargaining   130
                   Thomas Koshy   Graph-Theoretic Models for the
                                  Univariate Fibonacci Family  . . . . . . 135
           Martin Griffiths and   
                   Alex Bramham   The Jacobsthal Numbers: Two Results and
                                  Two Questions  . . . . . . . . . . . . . 147
       Stéphane Legendre   Labeled Fibonacci Trees  . . . . . . . . 152
               Masayoshi Kaneda   Two Remarks on the Collatz Cycle
                                  Conjecture . . . . . . . . . . . . . . . 168
          Peter J. Larcombe and   
              Eric J. Fennessey   A Condition for Anti-Diagonals Product
                                  Invariance Across Powers of $ 2 \times 2
                                  $ Matrix Sets Characterizing a
                                  Particular Class of Polynomial Families  175
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 180
                   Florian Luca   Advanced Problems and Solutions  . . . . 186
              Neil J. A. Sloane   The John Riordan Prize . . . . . . . . . 192

Fibonacci Quarterly
Volume 53, Number 3, August, 2015

               Christian Ballot   Divisibility of Fibonomials and
                                  Lucasnomials via A General Kummer Rule   194
             Lawrence Somer and   
           Michal Krízek   On Lehmer Superpseudoprimes  . . . . . . 206
            Corey Martinsen and   
             Pantelimon Stanica   Asymptotic Behavior of Gaps Between
                                  Roots of Weighted Factorials . . . . . . 213
           Helmut Prodinger and   
                 Stephan Wagner   On Identities by Larcombe--Fennessey and
                                  Cassini  . . . . . . . . . . . . . . . . 219
                   L. Hajdu and   
                    M. Szikszai   Common Factors in Series of Consecutive
                                  Terms of Associated Lucas and Lehmer
                                  Sequences  . . . . . . . . . . . . . . . 221
               Martin Griffiths   The Zeckendorf Representation of a
                                  Beatty-Related Fibonacci Sum . . . . . . 230
            James Alexander and   
                  Paul Hearding   A Graph-Theoretic Encoding of Lucas
                                  Sequences  . . . . . . . . . . . . . . . 237
                   Thomas Koshy   Differences of Gibonacci Products with
                                  the Same Order . . . . . . . . . . . . . 241
             Russell Jay Hendel   Coefficient Convergence of Recursively
                                  Defined Polynomials  . . . . . . . . . . 247
              Peter J. Larcombe   Closed Form Evaluations of Some Series
                                  Comprising Sums of Exponentiated
                                  Multiples of Two-Term and Three-Term
                                  Catalan Number Linear Combinations . . . 253
                G. K. Panda and   
              Ravi Kumar Davala   Perfect Balancing Numbers  . . . . . . . 261
             Luis A. Medina and   
                   Eric Rowland   $p$-Regularity of the $p$-Adic Valuation
                                  of the Fibonacci Sequence  . . . . . . . 265
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 272
                   Florian Luca   Advanced Problems and Solutions  . . . . 279

Fibonacci Quarterly
Volume 53, Number 4, November, 2015

             Lawrence Somer and   
           Michal Krízek   Identically Distributed Second-Order
                                  Linear Recurrences Modulo $p$  . . . . . 290
        M. Lawrence Glasser and   
                     Yajun Zhou   An Integral Representation for the
                                  Fibonacci Numbers and Their
                                  Generalization . . . . . . . . . . . . . 313
          Michael D. Hirschhorn   Binomial Identities and Congruences for
                                  Euler Numbers  . . . . . . . . . . . . . 319
                   R. S. Melham   On Certain Families of Finite Reciprocal
                                  Sums that Involve Generalized Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 323
              Russell Euler and   
                    Jawad Sadek   An Extension of the Periodicity of an
                                  Extended Fibonacci Family  . . . . . . . 335
                   Thomas Koshy   Gibonomial Coefficients with Interesting
                                  Byproducts . . . . . . . . . . . . . . . 340
             Victor H. Moll and   
              Christophe Vignat   Generalized Bernoulli Numbers and a
                                  Formula of Lucas . . . . . . . . . . . . 349
              Peter J. Larcombe   A Note on the Invariance of the General
                                  $ 2 \times 2 $ Matrix Anti-Diagonals
                                  Ratio with Increasing Matrix Power: Four
                                  Proofs . . . . . . . . . . . . . . . . . 360
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 365
                   Florian Luca   Advanced Problems and Solutions  . . . . 372
                      Anonymous   Volume Index . . . . . . . . . . . . . . 378


Fibonacci Quarterly
Volume 54, Number 1, February, 2016

           Clark Kimberling and   
    László Szalay   $t$-sion of Two Polynomial Sequences and
                                  Factorization Properties . . . . . . . . 3
           Mahadi Ddamulira and   
               Florian Luca and   
            Mihaja Rakotomalala   Fibonacci Numbers Which are Products of
                                  Two Pell Numbers . . . . . . . . . . . . 11
                   R. S. Melham   On a Classical Fibonacci Identity of
                                  Aurifeuille  . . . . . . . . . . . . . . 19
                   David Treeby   Hidden Formulas in Fibonacci Tilings . . 23
                   R. S. Melham   More New Algebraic Identities and the
                                  Fibonacci Summations Derived From Them   31
 Daniel López-Aguayo and   
                   Florian Luca   Sylvester's Theorem and the
                                  Non-Integrality of a Certain Binomial
                                  Sum  . . . . . . . . . . . . . . . . . . 44
                   R. S. Melham   On a Generalized Pell Equation Studied
                                  by Euler and Sadek . . . . . . . . . . . 49
              Jeremy F. Alm and   
                  Taylor Herald   A Note on Prime Fibonacci Sequences  . . 55
                     Amin Witno   Niven Repunits in General Bases  . . . . 59
    Michael A. Brilleslyper and   
           Nathan Wakefield and   
          A. J. Wallerstein and   
                 Bradley Warner   Comparing the Growth of the Prime
                                  Numbers to the Natural Numbers . . . . . 65
                David Garth and   
                  Joseph Palmer   Self-Similar Sequences and Generalized
                                  Wythoff Arrays . . . . . . . . . . . . . 72
                      Tom Edgar   Extending Some Fibonacci--Lucas
                                  Relations  . . . . . . . . . . . . . . . 79
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 80
                   Florian Luca   Advanced Problems and Solutions  . . . . 87
                      Anonymous   Book Review: \booktitleThe Magic of
                                  Math: Solving for $x$ and Figuring out
                                  Why  . . . . . . . . . . . . . . . . . . 94

Fibonacci Quarterly
Volume 54, Number 2, May, 2016

  José L. Ramírez   The Pascal Rhombus and the Generalized
                                  Grand Motzkin Paths  . . . . . . . . . . 99
            Charles K. Cook and   
                  Takao Komatsu   Some Identities for Sequences of
                                  Binomial Sums of Generalized Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 105
                   R. S. Melham   A Two Parameter Pell Diophantine
                                  Equation That Generalizes a Fibonacci
                                  Classic  . . . . . . . . . . . . . . . . 112
                    Carlo Sanna   The $p$-Adic Valuation of Lucas
                                  Sequences  . . . . . . . . . . . . . . . 118
             Nour-Eddine Fahssi   Some Identities Involving Polynomial
                                  Coefficients . . . . . . . . . . . . . . 125
               Helmut Prodinger   Determinants Containing Rising Powers of
                                  Fibonacci Numbers  . . . . . . . . . . . 137
                   Thomas Koshy   Vieta Polynomials and Their Close
                                  Relatives  . . . . . . . . . . . . . . . 141
           Spiros D. Dafnis and   
           Andreas N. Philippou   Infinite Sums of Weighted Fibonacci
                                  Numbers of Order $k$ . . . . . . . . . . 149
                   R. S. Melham   Two Algebraic Identities and the
                                  Alternating Fibonacci Sums Produced By
                                  Them . . . . . . . . . . . . . . . . . . 154
              Russell Euler and   
                    Jawad Sadek   A Direct Proof That $ F_n $ Divides $
                                  F_{mn} $ Extended to Divisibility
                                  Properties of Related Numbers  . . . . . 160
               Gaurav Bhatnagar   Analogues of a Fibonacci--Lucas Identity 166
                  Serge Perrine   Some Properties of the Equation $ x^2 =
                                  5 y^2 - 4 $  . . . . . . . . . . . . . . 172
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 178
                   Florian Luca   Advanced Problems and Solutions  . . . . 185

Fibonacci Quarterly
Volume 54, Number 3, August, 2016

                Charles K. Cook   Caen and Cheese: A Report on the
                                  Seventeenth International Conference on
                                  Fibonacci Numbers and Their Applications 194
                   R. S. Melham   Closed Forms for Finite Sums in Which
                                  the Denominator of the Summand is a
                                  Product of Trigonometric Functions . . . 196
           Rachel K. Graves and   
           Michael R. Bacon and   
                Charles K. Cook   Using Matrices to Derive Identities for
                                  Recursive Sequences  . . . . . . . . . . 204
             Lawrence Somer and   
       Michal K\vrí\vzek   Identically Distributed Second-Order
                                  Linear Recurrences Modulo $p$, II  . . . 217
                  K. Liptai and   
                G. K. Panda and   
                      L. Szalay   A Balancing Problem on a Binary
                                  Recurrence and its Associate . . . . . . 235
          Peter J. Larcombe and   
              Eric J. Fennessey   On a Scaled Balanced-Power Product
                                  Recurrence . . . . . . . . . . . . . . . 242
                   R. S. Melham   On the Positive Integer Points of
                                  Certain Two Parameter Families of
                                  Hyperbolas . . . . . . . . . . . . . . . 247
             Steven Edwards and   
              William Griffiths   A Combinatorial Identity Related to
                                  Cross Polytope Numbers . . . . . . . . . 253
              Peter J. Larcombe   On the Evaluation of Sums of
                                  Exponentiated Multiples of Generalized
                                  Catalan Number Linear Combinations Using
                                  a Hypergeometric Approach  . . . . . . . 259
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 271
                   Florian Luca   Advanced Problems and Solutions  . . . . 280
                      Anonymous   Winners of the Paul Bruckman Prize . . . 287
                      Anonymous   The Paul Bruckman Prize  . . . . . . . . 288

Fibonacci Quarterly
Volume 54, Number 4, November, 2016

                      Anonymous   Thanks and Welcome . . . . . . . . . . . 290
       Jose Arnaldo B. Dris and   
                   Florian Luca   A Note on Odd Perfect Numbers  . . . . . 291
                   R. S. Melham   New Identities Satisfied by Powers of
                                  Fibonacci and Lucas Numbers  . . . . . . 296
             Ronald P. Nordgren   On Franklin and Complete Magic Square
                                  Matrices . . . . . . . . . . . . . . . . 304
               Zai-Qiao Bai and   
                Steven R. Finch   Fibonacci and Lucas Representations  . . 319
                   David Treeby   Further Physical Derivations of
                                  Fibonacci Summations . . . . . . . . . . 327
               Alex Bramham and   
               Martin Griffiths   Combinatorial Interpretations of Some
                                  Convolution Identities . . . . . . . . . 335
      Aram Tangboonduangjit and   
      Thotsaporn Thanatipanonda   Determinants of Rising Powers of Second
                                  Order Linear Recurrence Entries by Means
                                  of the Desnanot--Jacobi Identity . . . . 340
               Helmut Prodinger   Additional Results on Some Recent
                                  Infinite Sums  . . . . . . . . . . . . . 344
             Minerva Catral and   
               Pari L. Ford and   
           Pamela E. Harris and   
           Steven J. Miller and   
                    Dawn Nelson   Legal Decompositions Arising From
                                  Non-Positive Linear Recurrences  . . . . 348
                 Russ Euler and   
                    Jawad Sadek   Elementary Problems and Solutions  . . . 366
                   Florian Luca   Advanced Problems and Solutions  . . . . 373
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 380
                      Anonymous   Volume Index . . . . . . . . . . . . . . 381


Fibonacci Quarterly
Volume 55, Number 1, February, 2017

                Andreas M. Hinz   The Lichtenberg Sequence . . . . . . . . 2
               Thomas Koshy and   
                  Zhenguang Gao   Polynomial Extensions of a Diminnie
                                  Delight  . . . . . . . . . . . . . . . . 13
        Chatchawan Panraksa and   
          Aram Tangboonduangjit   On Some Arithmetic Properties of a
                                  Sequence Related to the Quotient of
                                  Fibonacci Numbers  . . . . . . . . . . . 21
          Prapanpong Pongsriiam   Fibonacci and Lucas Numbers Which are
                                  One Away From Their Products . . . . . . 29
         Roberto B. Corcino and   
              Hassan Jolany and   
        Cristina B. Corcino and   
                  Takao Komatsu   On Generalized Multi Poly-Euler
                                  Polynomials  . . . . . . . . . . . . . . 41
         Petros Hadjicostas and   
                  Lingyun Zhang   Sommerville's Symmetrical Cyclic
                                  Compositions of a Positive Integer with
                                  Parts Avoiding Multiples of an Integer   54
              Andrew Bulawa and   
                    Whan Ki Lee   Integer Values of Generating Functions
                                  for the Fibonacci and Related Sequences  74
                   Harris Kwong   Elementary Problems and Solutions  . . . 82
                   Florian Luca   Advanced Problems and Solutions  . . . . 89
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 96

Fibonacci Quarterly
Volume 55, Number 2, May, 2017

                      Anonymous   Fibonacci Conference Announcement  . . . 98
                   R. S. Melham   Closed Forms for Finite Sums of Weighted
                                  Products of Generalized Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 99
               Danielle Cox and   
                 Karyn McLellan   A Problem on Generation Sets Containing
                                  Fibonacci Numbers  . . . . . . . . . . . 105
              Ralph P. Grimaldi   Extraordinary Subsets: A Generalization  114
                   R. S. Melham   Closed Forms for Finite Sums of Weighted
                                  Products of the Sine and Cosine
                                  Functions  . . . . . . . . . . . . . . . 123
               Thomas Koshy and   
              Ralph P. Grimaldi   Ternary Words and Jacobsthal Numbers . . 129
                Mark Bryant and   
                   David Hobill   Golden-Ratio-Based Rectangular Tilings   137
                   Thomas Koshy   Polynomial Extensions of the Lucas and
                                  Ginsburg Identities Revisited  . . . . . 147
                 Chad Davis and   
               Daniel Eloff and   
              Blair K. Spearman   Normal Integral Bases of a Cyclic
                                  Quintic Field  . . . . . . . . . . . . . 152
             Raphael Schumacher   The Self-Counting Identity . . . . . . . 157
          Peter J. Larcombe and   
              Eric J. Fennessey   A Closed Form Formulation for the
                                  General Term of a Scaled Triple Power
                                  Product Recurrence Sequence  . . . . . . 168
                   Harris Kwong   Elementary Problems and Solutions  . . . 178
                   Florian Luca   Advanced Problems and Solutions  . . . . 184
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 192

Fibonacci Quarterly
Volume 55, Number 3, August, 2017

                      Anonymous   Fibonacci Conference and Caen
                                  Proceedings Announcements  . . . . . . . 194
                   R. S. Melham   Closed Forms for Certain Fibonacci Type
                                  Sums That Involve Second Order Products  195
            Charles K. Cook and   
           Michael R. Bacon and   
             Rebecca A. Hillman   Higher Order Boustrophedon Transforms
                                  for Certain Well-Known Sequences . . . . 201
             Lawrence Somer and   
           Michal Krízek   On Moduli for Which Certain Second-Order
                                  Linear Recurrences Contain a Complete
                                  System of Residues Modulo $m$  . . . . . 209
                   R. S. Melham   Sums of Certain Products of Fibonacci
                                  and Lucas Numbers --- Part III . . . . . 229
                Yifan Zhang and   
                George Grossman   A Combinatorial Proof for the Generating
                                  Function of Powers of the Fibonacci
                                  Sequence . . . . . . . . . . . . . . . . 235
            Henrik Eriksson and   
                 Markus Jonsson   Level Sizes of the Bulgarian Solitaire
                                  Game Tree  . . . . . . . . . . . . . . . 243
             Minerva Catral and   
               Pari L. Ford and   
           Pamela E. Harris and   
           Steven J. Miller and   
                Dawn Nelson and   
                   Zhao Pan and   
                   Huanzhong Xu   New Behavior in Legal Decompositions
                                  Arising from Non-Positive Linear
                                  Recurrences  . . . . . . . . . . . . . . 252
                   Harris Kwong   Elementary Problems and Solutions  . . . 276
                   Florian Luca   Advanced Problems and Solutions  . . . . 282
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 288

Fibonacci Quarterly
Volume 55, Number 4, November, 2017

                      Anonymous   Fibonacci Conference and Caen
                                  Proceedings Announcements  . . . . . . . 290
         Márton Szikszai   Distinct Products in Lucas Sequences ---
                                  On a Problem of Kimberling . . . . . . . 291
               Christian Ballot   Divisibility of the Middle Lucasnomial
                                  Coefficient  . . . . . . . . . . . . . . 297
                A. K. Panda and   
                    G. K. Panda   Circular Balancing Numbers . . . . . . . 309
              Russell Euler and   
                    Jawad Sadek   Relationships Between $k$-Gonal Numbers
                                  that Are Centered $k$-Gonal, and Lucas
                                  and Related Numbers  . . . . . . . . . . 315
               Thomas Koshy and   
                  Zhenguang Gao   Polynomial Extensions of a Diminnie
                                  Delight Revisited: Part I  . . . . . . . 320
              Mihai Caragiu and   
              Paul A. Vicol and   
                  Mohammad Zaki   On Conway's Subprime Function, A
                                  Covering of $N$ and an Unexpected
                                  Appearance of the Golden Ratio . . . . . 327
         Ovidiu D. Bagdasar and   
              Peter J. Larcombe   On the Masked Periodicity of Horadam
                                  Sequences: A Generator-Based Approach    332
          Gábor Nyul and   
          Gabriella Rácz   Lucas Sequences and the Hosoya Index of
                                  Graphs . . . . . . . . . . . . . . . . . 340
                  Kunle Adegoke   Some Infinite Product Identities
                                  Involving Fibonacci and Lucas Numbers    343
                   Filip Saidak   The Prime Numbers Without the Sieve of
                                  Eratosthenes . . . . . . . . . . . . . . 352
             Steven Edwards and   
              William Griffiths   Generalizations of Delannoy and Cross
                                  Polytope Numbers . . . . . . . . . . . . 357
                   Harris Kwong   Elementary Problems and Solutions  . . . 367
                   Florian Luca   Advanced Problems and Solutions  . . . . 374
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 380
                      Anonymous   Volume Index . . . . . . . . . . . . . . 381

Fibonacci Quarterly
Volume 55, Number 5, December, 2017

             Jean-Paul Allouche   Some Extremalities of the Binary
                                  Fibonacci Sequence . . . . . . . . . . . ??
              Peter G. Anderson   Notes & Extensions for a Remarkable
                                  Continued Fraction . . . . . . . . . . . ??
                      Anonymous   Conference Report  . . . . . . . . . . . ??
                      Anonymous   Foreword . . . . . . . . . . . . . . . . ??
                      Anonymous   List of Participants . . . . . . . . . . ??
                      Anonymous   Title page . . . . . . . . . . . . . . . ??
           Christian Ballot and   
           Clark Kimberling and   
              Peter J. C. Moses   Linear Recurrences Originating From
                                  Polynomial Trees . . . . . . . . . . . . ??
         Arthur T. Benjamin and   
                  Joel Ornstein   A Bijective Proof of a Derangement
                                  Recurrence . . . . . . . . . . . . . . . ??
             Bruce M. Boman and   
             Thien-Nam Dinh and   
               Keith Decker and   
             Brooks Emerick and   
        Christopher Raymond and   
           Gilberto Schleiniger   Why do Fibonacci Numbers Appear in
                                  Patterns of Growth in Nature?  . . . . . ??
              Christopher Brown   The Natural Logarithm of the Golden
                                  Section  . . . . . . . . . . . . . . . . ??
                   Zvonko Cerin   On Candido Like Identities . . . . . . . ??
              Curtis Cooper and   
              Steven Miller and   
          Peter J. C. Moses and   
                Murat Sahin and   
      Thotsaporn Thanatipanonda   On Identities of Ruggles, Horadam,
                                  Howard, and Young  . . . . . . . . . . . ??
                      Paul Cull   What I Tell You $K$ Times is True  . . . ??
             Russell Jay Hendel   Proof and Generalization of the
                                  Cassini--Catalan--Tagiuri--Gould
                                  Identities . . . . . . . . . . . . . . . ??
        Virginia P. Johnson and   
                Charles K. Cook   Areas of Triangles and Other Polygons
                                  with Vertices from Various Sequences . . ??
               Clark Kimberling   Problem Proposals  . . . . . . . . . . . ??
           Tamás Lengyel   On the Rate of $p$-adic Convergence of
                                  Alternating Sums of Powers of Binomial
                                  Coefficients . . . . . . . . . . . . . . ??
                     Ray Li and   
               Steven J. Miller   A Collection of Central Limit Type
                                  Results in Generalized Zeckendorf
                                  Decompositions . . . . . . . . . . . . . ??
  Frédéric Mansuy   Fibonacci words and the construction of
                                  a ``Quasicrystalline'' Fivefold
                                  Structure  . . . . . . . . . . . . . . . ??
           Steven J. Miller and   
                Dawn Nelson and   
                   Zhao Pan and   
                   Huanzhong Xu   On the Asymptotic Behavior of Variance
                                  of PLRS Decompositions . . . . . . . . . ??
            Augustine O. Munagi   Two Applications of the Bijection on
                                  Fibonacci Set Partitions . . . . . . . . ??
              Claudio Pita Ruiz   Weighted Sums of Squares via Generalized
                                  Eulerian Polynomials . . . . . . . . . . ??
        Gabriela N. Stanica and   
             Pantelimon Stanica   Recurrences for Entries of Powers of
                                  Matrices . . . . . . . . . . . . . . . . ??
             Paul K. Stockmeyer   An Exploration of Sequence A000975 . . . ??
    Tamás Szakács   $k$-Order Linear Recursive Sequences and
                                  the Golden Ratio . . . . . . . . . . . . ??
                 Mohammed Taous   On the 2-Class Group of $ \mathbb
                                  {Q}(\bar {5 p F_p}) $ Where $ F_p $ is a
                                  Prime Fibonacci Number . . . . . . . . . 192--200
              Paul Thomas Young   Congruences for Bernoulli--Lucas Sums    ??


Fibonacci Quarterly
Volume 56, Number 1, February, 2018

                      Anonymous   Fibonacci Conference and Caen
                                  Proceedings Announcements  . . . . . . . 2
                   R. S. Melham   Further Closed Forms for Finite Sums of
                                  Weighted Products of Generalized
                                  Fibonacci Numbers  . . . . . . . . . . . 3
               Thomas Koshy and   
                  Zhenguang Gao   Polynomial Extensions of a Diminnie
                                  Delight Revisited: Part II . . . . . . . 10
                Murat Sahin and   
                       Elif Tan   Conditional (Strong) Divisibility
                                  Sequences  . . . . . . . . . . . . . . . 18
          Michael D. Hirschhorn   Congruences Modulo 5 for Partitions Into
                                  at Most Four Parts . . . . . . . . . . . 32
                   R. S. Melham   Further Closed Forms for Finite Sums of
                                  Weighted Products of the Sine and Cosine
                                  Functions  . . . . . . . . . . . . . . . 38
         Ji\vrí Kla\vska   Donald Dines Wall's Conjecture . . . . . 43
            Bernadette Faye and   
                   Florian Luca   On $X$-Coordinates of Pell Equations
                                  that Are Repdigits . . . . . . . . . . . 52
        Salah Eddine Rihane and   
      Mohand Ouamar Hernane and   
             Alain Togbé   On the $ D(4) $-Diophantine Triples of
                                  Fibonacci Numbers  . . . . . . . . . . . 63
               Martin Griffiths   A Formula for an Infinite Family of
                                  Fibonacci-Word Sequences . . . . . . . . 75
                   Harris Kwong   Elementary Problems and Solutions  . . . 81
                   Florian Luca   Advanced Problems and Solutions  . . . . 89
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 96

Fibonacci Quarterly
Volume 56, Number 2, May, 2018

                      Anonymous   Fibonacci Conference and Final
                                  Announcement . . . . . . . . . . . . . . 98
                   R. S. Melham   Sums of Reciprocals of Weighted Products
                                  of the Sine and and Cosine Functions . . 99
                   Thomas Koshy   Polynomial Extensions of the Lucas and
                                  Ginsburg Identities Revisited:
                                  Additional Dividends I . . . . . . . . . 106
         Michael Debellevue and   
           Ekaterina Kryuchkova   Fractal Behavior of the Fibonomial
                                  Triangle Modulo Prime $p$, Where the
                                  Rank of Apparition of $p$ is $ p + 1$    113
          Peter J. Larcombe and   
                 Sam T. O'Neill   A Generating Function Approach to the
                                  Automated Evaluation of Sums of
                                  Exponentiated Multiples of Generalized
                                  Catalan Number Linear Combinations . . . 121
               Florian Luca and   
              Anitha Srinivasan   Markov Equation With Fibonacci
                                  Components . . . . . . . . . . . . . . . 126
        Matthew E. Coppenbarger   Iterations of a Modified Sisyphus
                                  Function . . . . . . . . . . . . . . . . 130
             Russell Jay Hendel   Towards Formulating a Tagiuri Generating
                                  Method Conjecture  . . . . . . . . . . . 142
               Roger C. Alperin   $A$-Cassini Sequences and Their Spectrum 153
                  Mark D. LaDue   Clusters of Integers With Equal Total
                                  Stopping Times in the $ 3 X + 1 $
                                  Problem  . . . . . . . . . . . . . . . . 156
             Paul Dalenberg and   
                      Tom Edgar   Consecutive Factorial Base Niven Numbers 163
                   R. S. Melham   Closed Formulas for Finite Sums of
                                  Weighted Fractional Generalized
                                  Fibonacci Products . . . . . . . . . . . 167
                   Harris Kwong   Elementary Problems and Solutions  . . . 177
                   Florian Luca   Advanced Problems and Solutions  . . . . 185
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 192

Fibonacci Quarterly
Volume 56, Number 3, August, 2018

      Marjorie Bicknell-Johnson   A Report on the 18th International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 194
           Clark Kimberling and   
              Takao Komatsu and   
Kálmán Liptai and   
    László Szalay   A Connection Between Hyper-Fibonacci
                                  Numbers and Fissions of Polynomial
                                  Sequences  . . . . . . . . . . . . . . . 195
                    John Greene   Lucas Sequences and Traces of Matrix
                                  Products . . . . . . . . . . . . . . . . 200
                   Thomas Koshy   Differences of Gibonacci Polynomial
                                  Products of Orders 2, 3, and 4 . . . . . 212
          Helen G. Grundman and   
               Pamela E. Harris   Sequences of Consecutive Happy Numbers
                                  in Negative Bases  . . . . . . . . . . . 221
            Dmitriy Shtefan and   
              Irina Dobrovolska   The Sums of the Consecutive Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 229
               Thomas Koshy and   
               Martin Griffiths   Some Gibonacci Convolutions with
                                  Dividends  . . . . . . . . . . . . . . . 237
      Manasi Kumari Sahukar and   
                    G. K. Panda   Arithmetic Functions of Balancing
                                  Numbers  . . . . . . . . . . . . . . . . 246
                  Kunle Adegoke   Weighted Sums of Some Second-Order
                                  Sequences  . . . . . . . . . . . . . . . 252
               Robert Frontczak   Some Fibonacci--Lucas--Tribonacci--Lucas
                                  Identities . . . . . . . . . . . . . . . 263
                   Harris Kwong   Elementary Problems and Solutions  . . . 275
                   Florian Luca   Advanced Problems and Solutions  . . . . 283
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 288

Fibonacci Quarterly
Volume 56, Number 4, November, 2018

                   R. S. Melham   Closed Forms for 10 Families of Finite
                                  Sums of Fractional Generalized Fibonacci
                                  Products . . . . . . . . . . . . . . . . 290
       Kritkhajohn Onphaeng and   
          Prapanpong Pongsriiam   The Converse of Exact Divisibility by
                                  Powers of the Fibonacci and Lucas
                                  Numbers  . . . . . . . . . . . . . . . . 296
              Brian Hopkins and   
          Aram Tangboonduangjit   Fibonacci-Producing Rational Polynomials 303
                    Ulrich Abel   Some New Identities for Derangement
                                  Numbers  . . . . . . . . . . . . . . . . 313
             S. G. Rayaguru and   
                    G. K. Panda   Repdigits as Products of Consecutive
                                  Balancing or Lucas-Balancing Numbers . . 319
                  Bir Kafle and   
               Florian Luca and   
             Alain Togbé   Triangular Repblocks . . . . . . . . . . 325
                   R. S. Melham   12 Two-Parameter Families of Reciprocal
                                  Sums of Products of the Sine and Cosine
                                  Functions  . . . . . . . . . . . . . . . 329
       Andreas N. Philippou and   
               Spiros D. Dafnis   A Simple Proof of an Identity
                                  Generalizing Fibonacci--Lucas Identities 334
           Sheng-Liang Yang and   
                  Yuan-Yuan Gao   The Pascal Rhombus and Riordan Arrays    337
        Chatchawan Panraksa and   
          Aram Tangboonduangjit   $p$-adic Valuation of Lucas Iteration
                                  Sequences  . . . . . . . . . . . . . . . 348
Santos Hernández Hernández   The Fibonacci Numbers of the Form $ 2^a
                                  \pm 2^b + 1 $  . . . . . . . . . . . . . 354
                   R. S. Melham   Closed Formulas for Finite Sums of
                                  Fractional Expressions That Involve the
                                  Sine and Cosine Functions  . . . . . . . 360
                Alan F. Beardon   Fibonacci Matrices . . . . . . . . . . . 363
                   Harris Kwong   Elementary Problems and Solutions  . . . 366
                   Florian Luca   Advanced Problems and Solutions  . . . . 373
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 380
                      Anonymous   Volume Index . . . . . . . . . . . . . . 381


Fibonacci Quarterly
Volume 57, Number 1, February, 2019

                      Anonymous   Fibonacci Conference Announcement  . . . 2


Linear Multilinear Algebra
Volume 67, Number 12, 2019

               R. Ben Taher and   
                 H. Benkhaldoun   Solving the linear difference equation
                                  with periodic coefficients via Fibonacci
                                  sequences  . . . . . . . . . . . . . . . 2549--2564


Fibonacci Quarterly
Volume 57, Number 1, February, 2019

                Sajed Haque and   
                Jeffrey Shallit   A Class of Exponential Sequences with
                                  Shift-Invariant Discriminators . . . . . 3
          Peter J. Larcombe and   
              Eric J. Fennessey   A Non-Linear Recurrence Identity Class
                                  for Terms of a Generalized Linear
                                  Recurrence Sequence of Degree Three  . . 10
               Roger C. Alperin   $A$-Cassini Polynomial Sequences and
                                  Applications . . . . . . . . . . . . . . 14
              Laurent Habsieger   Explicit Bounds for the Diophantine
                                  Equation $ A! B! = C! $  . . . . . . . . 21
         Arthur T. Benjamin and   
              Joshua Crouch and   
               James A. Sellers   Unified Tiling Proofs of a Family of
                                  Fibonacci Identities . . . . . . . . . . 29
                 Ryan Zielinski   Faulhaber and Bernoulli  . . . . . . . . 32
         Atsanon Wadsanthat and   
            Chatchawan Panraksa   Distribution of Cycle Lengths of a
                                  Quadratic Map Over Finite Fields of
                                  Characteristic 2 . . . . . . . . . . . . 35
                Juan B. Gil and   
                   Aaron Worley   Generalized Metallic Means . . . . . . . 45
                Lenny Jones and   
                 Lawrence Somer   Primefree Shifted Binary Linear
                                  Recurrence Sequences . . . . . . . . . . 51
                 Sergiy Koshkin   Non-classical Linear Divisibility
                                  Sequences and Cyclotomic Polynomials . . 68
                   Harris Kwong   Elementary Problems and Solutions  . . . 81
                   Florian Luca   Advanced Problems and Solutions  . . . . 89
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 96

Fibonacci Quarterly
Volume 57, Number 2, May, 2019

                      Anonymous   Fibonacci Conference Announcement  . . . 98
                   Thomas Koshy   Jacobsthal and Jacobsthal--Lucas Walks   99
         Alexandre Gueganic and   
              Granger Carty and   
               Yujin H. Kim and   
           Steven J. Miller and   
              Alina Shubina and   
           Shannon Sweitzer and   
                Eric Winsor and   
                   Jianing Yang   Limiting Distributions in Generalized
                                  Zeckendorf Decompositions  . . . . . . . 109
         Saralee Aursukaree and   
Tammatada Khemaratchatakumthorn and   
          Prapanpong Pongsriiam   Generalizations of Hermite's Identity
                                  and Applications . . . . . . . . . . . . 126
              M. K. Sahukar and   
                    G. K. Panda   Repdigits in Euler Functions of Pell
                                  Numbers  . . . . . . . . . . . . . . . . 134
                   Thomas Koshy   A Recurrence for Gibonacci Cubes with
                                  Graph-Theoretic Confirmations  . . . . . 139
             Owen J. Brison and   
             J. Eurico Nogueira   Linear Recurring Sequence Subgroups in
                                  the Complex Field --- II . . . . . . . . 148
Elen Viviani Pereira Spreafico and   
               Mustapha Rachidi   Fibonacci Fundamental System and
                                  Generalized Cassini Identity . . . . . . 155
             Raphael Schumacher   How to Sum the Squares of the Tetranacci
                                  Numbers and the Fibonacci $m$-Step
                                  Numbers  . . . . . . . . . . . . . . . . 168
                   Harris Kwong   Elementary Problems and Solutions  . . . 176
                   Florian Luca   Advanced Problems and Solutions  . . . . 184
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 192

Fibonacci Quarterly
Volume 57, Number 3, August, 2019

                      Anonymous   Fibonacci Conference Announcement  . . . 194
       Éric Angelini and   
              Lars Blomberg and   
              Charlie Neder and   
        Rémy Sigrist and   
                N. J. A. Sloane   ``Choix de Bruxelles'': A New Operation
                                  on Positive Integers . . . . . . . . . . 195
                  Eric Chen and   
                 Robin Chen and   
                   Lucy Guo and   
                Cindy Jiang and   
           Steven J. Miller and   
           Joshua M. Siktar and   
                       Peter Yu   Gaussian Behavior in Zeckendorf
                                  Decompositions from Lattices . . . . . . 201
                     Ray Li and   
               Steven J. Miller   Central Limit Theorems for Gaps of
                                  Generalized Zeckendorf Decompositions    213
         Sai Gopal Rayaguru and   
            Gopal Krishna Panda   Repdigits as Products of Balancing and
                                  Lucas-Balancing Numbers With Indices in
                                  Arithmetic Progression . . . . . . . . . 231
                  Taras Goy and   
                 Roman Zatorsky   On Oresme Numbers and Their Connection
                                  with Fibonacci and Pell Numbers  . . . . 238
             Montree Jaidee and   
          Prapanpong Pongsriiam   Arithmetic Functions of Fibonacci and
                                  Lucas Numbers  . . . . . . . . . . . . . 246
               Florian Luca and   
                Sibusiso Mabaso   Diophantine Equations with the Ramanujan
                                  $\tau$ Function of Factorials, Fibonacci
                                  Numbers, and Catalan Numbers . . . . . . 255
             Masakazu Yamagishi   A Short Proof of Congruences for Lucas
                                  Sequences  . . . . . . . . . . . . . . . 260
               Christian Ballot   The $p$-adic Valuation of Lucas
                                  Sequences When $p$ Is a Special Prime    265
                   Harris Kwong   Elementary Problems and Solutions  . . . 276
                   Florian Luca   Advanced Problems and Solutions  . . . . 283
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 288

Fibonacci Quarterly
Volume 57, Number 4, November, 2019

                      Anonymous   Fibonacci Conference Announcement  . . . 290
              Steven J. Tedford   Combinatorial Identities for the Padovan
                                  Numbers  . . . . . . . . . . . . . . . . 291
           Shiran Rachmilevitch   Alternating Offers Bargaining and the
                                  Golden Ratio . . . . . . . . . . . . . . 299
                   Thomas Koshy   Some Extended Gibonacci Polynomial Sums
                                  with Dividends . . . . . . . . . . . . . 303
           Helmut Prodinger and   
               Sarah J. Selkirk   Sums of Squares of Tetranacci Numbers: A
                                  Generating Function Approach . . . . . . 313
               Roger C. Alperin   A Family of Nonlinear Recurrences and
                                  Their Linear Solutions . . . . . . . . . 318
               Thomas Koshy and   
                  Zhenguang Gao   Periodicity of Ones Digits in Jacobsthal
                                  Numbers with Triangular and Jacobsthal
                                  Subscripts . . . . . . . . . . . . . . . 322
                   Ben Delo and   
                   Filip Saidak   Euclid's Theorem Redux . . . . . . . . . 331
                   Lin Yang and   
               Sheng-Liang Yang   The Parametric Pascal Rhombus  . . . . . 337
              Steven J. Tedford   Fibonacci Graphs . . . . . . . . . . . . 347
        Gopal Krishna Panda and   
       Sushree Sangeeta Pradhan   Triangular-Like Numbers That Are
                                  Triangular . . . . . . . . . . . . . . . 356
              Alaa Altassan and   
                   Florian Luca   On a Curious Property of $F_{184}$ . . . 363
               Christian Ballot   Errata --- The $p$-adic Valuation of
                                  Lucas Sequences When $p$ Is a Special
                                  Prime  . . . . . . . . . . . . . . . . . 366
                   Harris Kwong   Elementary Problems and Solutions  . . . 367
                   Florian Luca   Advanced Problems and Solutions  . . . . 373
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 380
                      Anonymous   Volume Index . . . . . . . . . . . . . . 381

Fibonacci Quarterly
Volume 57, Number 5, December, 2019

      Marjorie Bicknell-Johnson   Conference Report  . . . . . . . . . . . i
           Paul Baird-Smith and   
             Alyssa Epstein and   
              Kristen Flint and   
               Steven J. Miller   The Generalized Zeckendorf Game  . . . . 1
              Matthew Blair and   
    Rigoberto Flórez and   
               Antara Mukherjee   Matrices in the Hosoya Triangle  . . . . 15
             Bruce M. Boman and   
                   Yihan Ye and   
               Keith Decker and   
        Christopher Raymond and   
           Gilberto Schleiniger   Geometric Branching Patterns based on
                                  $p$-Fibonacci Sequences: Self-similarity
                                  Across Different Degrees of Branching
                                  and Multiple Dimensions  . . . . . . . . 29
                  Curtis Cooper   Some High Degree Generalized Fibonacci
                                  Identities . . . . . . . . . . . . . . . 42
            Kenneth Edwards and   
               Michael A. Allen   A new combinatorial interpretation of
                                  the Fibonacci numbers squared  . . . . . 48
             Russell Jay Hendel   Proof of the Tagiuri Histogram
                                  Conjecture . . . . . . . . . . . . . . . 54
              Burghard Herrmann   How Integer Sequences Find Their Way
                                  Into Areas Outside Pure Mathematics  . . 67
            Andreas M. Hinz and   
             Paul K. Stockmeyer   Discovering Fibonacci Numbers, Fibonacci
                                  Words, and a Fibonacci Fractal in the
                                  Tower of Hanoi . . . . . . . . . . . . . 72
                    Lin Jiu and   
              Christophe Vignat   Connection Coefficients for Higher-order
                                  Bernoulli and Euler Polynomials: A
                                  Random Walk Approach . . . . . . . . . . 84
           Clark Kimberling and   
              Peter J. C. Moses   Linear Complementary Equations and
                                  Systems  . . . . . . . . . . . . . . . . 96
                Sam Northshield   $\Re^3$ counting the Rationals . . . . . 111--129
          Prapanpong Pongsriiam   Fibonacci and Lucas Numbers which have
                                  Exactly Three Prime Factors and Some
                                  Unique Properties of $F_{18}$ and
                                  $L_{18}$ . . . . . . . . . . . . . . . . 130
Thotsaporn ``Aek'' Thanatipanonda   Statistics of Domino Tilings on a
                                  Rectangular Board  . . . . . . . . . . . 145
              Paul Thomas Young   Global series for zeta functions . . . . 154
               Clark Kimberling   Problem Section  . . . . . . . . . . . . 170


Fibonacci Quarterly
Volume 58, Number 1, February, 2020

                      Anonymous   Fibonacci Conference Announcement  . . . 2
                 Asim Patra and   
                    G. K. Panda   Positive Integer Solutions of Some
                                  Diophantine Equations Involving
                                  Lucas-Balancing Numbers  . . . . . . . . 3
               Mahadi Ddamulira   On the $x$-Coordinates of Pell Equations
                                  That Are Products of Two Lucas Numbers   18
              F. Michel Dekking   Base Phi Representations and Golden Mean
                                  Beta-Expansions  . . . . . . . . . . . . 38
César Bautista-Ramos and   
Carlos Guillén-Galván and   
   Paulino Gómez-Salgado   Independence Polynomials of Fibonacci
                                  Trees Are Log-Concave  . . . . . . . . . 49
             Lawrence Somer and   
       Michal K\vrí\vzek   Iteration of Certain Arithmetical
                                  Functions of Particular Lucas Sequences  55
    Rigoberto Flòrez and   
            Robinson A. Higuita   Another Proof for Partial Strong
                                  Divisibility Property of Lucas-Type
                                  Polynomials  . . . . . . . . . . . . . . 70
      João Lita da Silva   On Some Linear Recurrences . . . . . . . 73
         Saralee Aursukaree and   
Tammatada Khemaratchatakumthorn and   
          Prapanpong Pongsriiam   Corrigendum to Generalizations of
                                  Hermite's Identity and Applications  . . 80
                   Harris Kwong   Elementary Problems and Solutions  . . . 81
                   Florian Luca   Advanced Problems and Solutions  . . . . 89
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 96

Fibonacci Quarterly
Volume 58, Number 2, May, 2020

                      Anonymous   Fibonacci Conference Announcement  . . . 98
          Jonathan J. Azose and   
             Arthur T. Benjamin   A Tiling Interpretation of the
                                  $q$-Binomial Coefficients  . . . . . . . 99
                    Bruno Dular   Cycles of Sums of Integers . . . . . . . 126
               Roger C. Alperin   A Nonlinear Recurrence and Its Relations
                                  to Chebyshev Polynomials . . . . . . . . 140
             Neelima Borade and   
                 Dexter Cai and   
             David Z. Chang and   
                 Bruce Fang and   
                 Alex Liang and   
           Steven J. Miller and   
                     Wanqiao Xu   Gaps of Summands of the Zeckendorf
                                  Lattice  . . . . . . . . . . . . . . . . 143
           Steven J. Miller and   
               Alexandra Newlon   The Fibonacci Quilt Game . . . . . . . . 157
            Kenneth Edwards and   
               Michael A. Allen   A New Combinatorial Interpretation of
                                  the Fibonacci Numbers Squared. Part II   169
                   Harris Kwong   Elementary Problems and Solutions  . . . 178
                   Florian Luca   Advanced Problems and Solutions  . . . . 185
                      Anonymous   The Paul Bruckman Prize  . . . . . . . . 192

Fibonacci Quarterly
Volume 58, Number 3, August, 2020

             Raphael Schumacher   Explicit Formulas for Sums Involving the
                                  Squares of the First $n$ Tribonacci
                                  Numbers  . . . . . . . . . . . . . . . . 194
                   Anton Shutov   On the Sum of Digits of the Zeckendorf
                                  Representations of Two Consecutive
                                  Numbers  . . . . . . . . . . . . . . . . 203
                  Evan Fang and   
           Jonathan Jenkins and   
                   Zack Lee and   
                  Daniel Li and   
                   Ethan Lu and   
           Steven J. Miller and   
             Dilhan Salgado and   
               Joshua M. Siktar   Central Limit Theorems for Compound
                                  Paths on the Two-Dimensional Lattice . . 208
                  Bir Kafle and   
          Anitha Srinivasan and   
             Alain Togbé   Markoff Equation with Pell Components    226
                  Daniel Larsen   Focusing Sequences and Self-Similarity   231
                   Thomas Koshy   Extended Gibonacci Sums of Polynomial
                                  Products of Order $3$  . . . . . . . . . 241
    H\`ung Vi\dêt Chu and   
           Steven J. Miller and   
                     Zimu Xiang   Higher Order Fibonacci Sequences from
                                  Generalized Schreier Sets  . . . . . . . 249
        Salah Eddine Rihane and   
            Bernadette Faye and   
               Florian Luca and   
             Alain Togbé   Powers of Two in Generalized Lucas
                                  Sequences  . . . . . . . . . . . . . . . 254
               Berit Givens and   
                 Victor H. Moll   Integrals of Fibonacci Polynomials and
                                  Their Valuations . . . . . . . . . . . . 261
                   Harris Kwong   Elementary Problems and Solutions  . . . 274
                   Florian Luca   Advanced Problems and Solutions  . . . . 281
                      Anonymous   The Paul Bruckman Prize  . . . . . . . . 288

Fibonacci Quarterly
Volume 58, Number 4, November, 2020

      Marjorie Bicknell Johnson   A Report on the 19th International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 290
               Thomas Koshy and   
                  Zhenguang Gao   Extended Gibonacci Sums of Polynomial
                                  Products of Order 3 Revisited  . . . . . 291
               Robert Davis and   
                     Greg Simay   Further Combinatorics and Applications
                                  of Two-toned Tilings . . . . . . . . . . 300
       Muharem Avdispahi\'c and   
                Faruk Zejnulahi   An Integer Sequence with a Divisibility
                                  Property . . . . . . . . . . . . . . . . 321
            Richard J. McIntosh   Congruences Involving Euler Numbers and
                                  Power Sums . . . . . . . . . . . . . . . 328
        H\`ung Vi\.êt Chu   Representation of $ \frac {1}{2}(F_n -
                                  1)(F_{n + 1} - 1) $ and $ \frac
                                  {1}{2}(F_n - 1)(F_{n + 2} - 1) $ . . . . 334
              Jathan Austin and   
                 Lisa Schneider   Generalized Fibonacci Sequences in
                                  Pythagorean Triple Preserving Matrices   340
     H\`ung Vi\.ê Chu and   
     Lân Khánh Chu   A Twist of a Ramanujan Identity  . . . . 351
       Pankaj Jyoti Mahanta and   
               Manjil P. Saikia   A Family of Lacunary Recurrences for
                                  Lucas Numbers  . . . . . . . . . . . . . 356
              Takao Komatsu and   
              Paul Thomas Young   Convolutions of Generalized Stirling
                                  Numbers and Degenerate Bernoulli
                                  Polynomials  . . . . . . . . . . . . . . 361
                   Harris Kwong   Elementary Problems and Solutions  . . . 367
                   Florian Luca   Advanced Problems and Solutions  . . . . 375
                      Anonymous   Paul Bruckman Prize  . . . . . . . . . . 380
                      Anonymous   Volume Index . . . . . . . . . . . . . . 381

Fibonacci Quarterly
Volume 58, Number 5, December, 2020

      Marjorie Bicknell-Johnson   Conference Report  . . . . . . . . . . . 1
            Santiago Alzate and   
               Oscar Correa and   
        Rigoberto Flórez   Fibonacci Identities from Jordan
                                  Identities . . . . . . . . . . . . . . . 2
              Peter G. Anderson   The Fibonacci Word as a 2-adic Number
                                  and its Continued Fraction . . . . . . . 21
                    Bob Bastasz   Lyndon Words of a Second-Order
                                  Recurrence . . . . . . . . . . . . . . . 25
         Arthur T. Benjamin and   
               John Lentfer and   
             Thomas C. Martinez   Counting on Euler and Bernoulli Number
                                  Identities . . . . . . . . . . . . . . . 30
              Matthew Blair and   
    Rigoberto Flórez and   
           Antara Mukherjee and   
  José L. Ramírez   Matrices in the Determinant Hosoya
                                  Triangle . . . . . . . . . . . . . . . . 34
      El\.zbieta Bo\ldyriew and   
               Anna Cusenza and   
               Linglong Dai and   
                   Pei Ding and   
           Aidan Dunkelberg and   
              John Haviland and   
               Kate Huffman and   
                 Dianhui Ke and   
              Daniel Kleber and   
             Jason kuretski and   
               John Lentfer and   
                Tianhao Luo and   
           Steven J. Miller and   
            Clayton Mizgerd and   
            Vashisth Tiwari and   
                 Jingkai Ye and   
               Yunhao Zhang and   
              Xiaoyan Zheng and   
                     Weiduo Zhu   Extending Zeckendorf's Theorem to a
                                  Non-constant Recurrence and the
                                  Zeckendorf Game on this Non-constant
                                  Recurrence Relation  . . . . . . . . . . 55
      El\.zbieta Bo\ldyriew and   
              John Haviland and   
      Phúc Lâm and   
               John Lentfer and   
           Steven J. Miller and   
  Fernando Trejos Suárez   An Introduction to Completeness of
                                  Positive Linear Recurrence Sequences . . 77
                 Bruce M. Boman   Geometric Capitulum Patterns Based on
                                  Fibonacci p-Proportions  . . . . . . . . 91
            Zakariae Bouazzaoui   On Periods of Fibonacci Sequences and
                                  Real Quadratic $p$-rational Fields . . . 103
               Spiros D. Dafnis   On the Relation Between Fibonacci and
                                  Lucas Numbers  . . . . . . . . . . . . . 111
            Daniel Duverney and   
                  Yohei Tachiya   Linear Independence of Infinite Products
                                  Generated by the Lucas Numbers . . . . . 115
            Kenneth Edwards and   
               Michael A. Allen   A New Combinatorial Interpretation of
                                  the Fibonacci Numbers Cubed  . . . . . . 128
             Russell Jay Hendel   Recursive Triangles Appearing Embedded
                                  in Recursive Families  . . . . . . . . . 135
              Burghard Herrmann   The Continued Fraction Pendulum  . . . . 144
                   Ruoci Li and   
                 Xiaonan Li and   
           Steven J. Miller and   
            Clayton Mizgerd and   
               Chenyang Sun and   
                   Dong Xia and   
                      Zhyi Zhou   Deterministic Zeckendorf Games . . . . . 152
            Augustine O. Munagi   An Identity for Inverse-Conjugate
                                  Compositions . . . . . . . . . . . . . . 161
               Kouichi Nakagawa   A Triangle with Sides Lengths of a
                                  Rational Power of the Plastic Constant   166
                Sam Northshield   Topographs; Conway and Otherwise . . . . 172
             R. L. Ollerton and   
                  A. G. Shannon   A Note on Brousseau's Summation Problem  190
                Genki Shibukawa   New Identities for Some Symmetric
                                  Polynomials, and a Higher Order Analogue
                                  of the Fibonacci and Lucas Numbers . . . 200
              Anitha Srinivasan   The Markoff--Fibonacci Numbers . . . . . 222
                       Kai Wang   Girard--Waring Type Formula for a
                                  Generalized Fibonacci Sequence . . . . . 229
               Steven J. Miller   Problem Section  . . . . . . . . . . . . 236


Fibonacci Quarterly
Volume 59, Number 1, February, 2021

                      Anonymous   In Memoriam --- Gerald E. Bergum . . . . 2
                      Anonymous   Fibonacci Conference Announcement  . . . 3
                   Thomas Koshy   Extended Gibonacci Sums of Polynomial
                                  Products of Orders 4 and 5 . . . . . . . 3
         Kendra Killpatrick and   
                  Jordan Weaver   A Bijection for the Fibonomial
                                  Coefficients . . . . . . . . . . . . . . 14
              F. Michel Dekking   How to Add Two Natural Numbers in Base
                                  Phi  . . . . . . . . . . . . . . . . . . 19
                   Thomas Koshy   Extended Gibonacci Sums of Polynomial
                                  Products of Orders 4 and 5 Revisited . . 23
         Saralee Aursukaree and   
          Prapanpong Pongsriiam   On Exactly $3$-Deficient-Perfect Numbers 33
              A. G. Shannon and   
                 R. L. Ollerton   A Note on Ledin's Summation Problem  . . 47
                 Asim Patra and   
        Gopal Krishna Panda and   
Tammatada Khemaratchatakumthorn   Exact Divisibility by Powers of the
                                  Balancing and Lucas-Balancing Numbers    57
                   Yao-Qiang Li   Divisibility Properties of Factors of
                                  the Discriminant of Generalized
                                  Fibonacci Numbers  . . . . . . . . . . . 65
                     Xianzu Lin   Values of Bernoulli and Euler
                                  Polynomials at Rational Points . . . . . 78
                   Harris Kwong   Elementary Problems and Solutions  . . . 82
                   Florian Luca   Advanced Problems and Solutions  . . . . 89

Fibonacci Quarterly
Volume 59, Number 2, May, 2021

                   Thomas Koshy   A Family of Sums of Gibonacci Polynomial
                                  Products of Order 4  . . . . . . . . . . 98
             Lawrence Somer and   
       Michal K\vrí\vzek   Second-Order Linear Recurrences Having
                                  Arbitrarily Large Defect Modulo $p$  . . 108
        H\`ung Vi\dêt Chu   Partial Sums of the Fibonacci Sequence   132
             Mark Broderius and   
                    John Greene   Lucas Sequences Containing Few Primes    136
      José Luis Cereceda   Bernoulli and Faulhaber  . . . . . . . . 145
                 Sergi Elizalde   A Simple Bijective Proof of a Familiar
                                  Derangement Recurrence . . . . . . . . . 150
        H\`ung Vi\dêt Chu   Various Sequences from Counting Subsets  152
                     Yuji Tsuno   Extended Results on Integer Values of
                                  the Generating Functions for Sequences
                                  Given by Pell's Equations  . . . . . . . 158
                   Thomas Koshy   Graph-Theoretic Confirmations of Four
                                  Sums of Gibonacci Polynomial Products of
                                  Order 4  . . . . . . . . . . . . . . . . 167
                   Harris Kwong   Elementary Problems and Solutions  . . . 176
                   Florian Luca   Advanced Problems and Solutions  . . . . 185

Fibonacci Quarterly
Volume 59, Number 3, August, 2021

             E. L. Roettger and   
                 H. C. Williams   Some Primality Tests Constructed from a
                                  Cubic Extension of the Lucas Functions   194
         Seán M. Stewart   Some Series Involving Products Between
                                  the Harmonic Numbers and the Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 214
                   Thomas Koshy   A Family of Sums of Gibonacci Polynomial
                                  Products of Order 4 Revisited  . . . . . 225
               Helmut Prodinger   Nondecreasing Deutsch Paths  . . . . . . 232
                   Thomas Koshy   Infinite Sums Involving Gibonacci
                                  Polynomial Products  . . . . . . . . . . 237
             Hans J. H. Tuenter   Inverse Relations for Lucas Sequences    246
        H\`ung Vi\dêt Chu   On Generalized Zeckendorf Decompositions
                                  and Generalized Golden Strings . . . . . 254
                   Thomas Koshy   Infinite Sums Involving Gibonacci
                                  Polynomial Products Revisited  . . . . . 262
        Richard L. Ollerton and   
             Anthony G. Shannon   Erratum --- Some Properties of
                                  Generalized Pascal Squares and Triangles 272
                   Harris Kwong   Elementary Problems and Solutions  . . . 273
                   Florian Luca   Advanced Problems and Solutions  . . . . 280

Fibonacci Quarterly
Volume 59, Number 4, November, 2021

                      Anonymous   Fibonacci Conference Announcement  . . . 290
                   Glenn J. Fox   Integers that Satisfy a Fermat's
                                  Congruence of Higher Power . . . . . . . 291
                   Florian Luca   On the Discriminant of the
                                  $k$-generalized Fibonacci Polynomial . . 298
               Anna Cusenza and   
           Aidan Dunkelberg and   
               Kate Huffman and   
                 Dianhui Ke and   
              Daniel Kleber and   
           Steven J. Miller and   
            Clayton Mizgerd and   
            Vashisth Tiwari and   
                 Jingkai Ye and   
                  Xiaoyan Zheng   Winning Strategy for Multiplayer and
                                  Multialliance Zeckendorf Games . . . . . 308
                   Thomas Koshy   Graph-Theoretic Confirmations of Four
                                  Sums of Jacobsthal Polynomial Products
                                  of Order 4 . . . . . . . . . . . . . . . 319
              Amelia Gilson and   
              Hadley Killen and   
       Tamás Lengyel and   
           Steven J. Miller and   
                Nadia Razek and   
           Joshua M. Siktar and   
                    Liza Sulkin   Zeckendorf's Theorem Using Indices in an
                                  Arithmetic Progression . . . . . . . . . 327
                   Thomas Koshy   Infinite Sums Involving Jacobsthal
                                  Polynomial Products  . . . . . . . . . . 338
                   Soowhan Yoon   Analytic Connection Between the
                                  Fibonacci Sequence and Diagonal Sums of
                                  Binomial Coefficients  . . . . . . . . . 349
                Iwan Praton and   
                  Nart Shalqini   Amicable Heron Triangles . . . . . . . . 362
                   Harris Kwong   Elementary Problems and Solutions  . . . 365
                   Florian Luca   Advanced Problems and Solutions  . . . . 373
                      Anonymous   Volume Index . . . . . . . . . . . . . . 381


Fibonacci Quarterly
Volume 60, Number 1, February, 2022

                      Anonymous   Fibonacci Conference Announcement  . . . 2
                   Thomas Koshy   Infinite Sums Involving Jacobsthal
                                  Polynomial Products Revisited  . . . . . 3
                   Thomas Koshy   Products Involving Reciprocals of
                                  Gibonacci Polynomials  . . . . . . . . . 15
Kouessi Norbert Adédji and   
               Alan Filipin and   
             Alain Togbé   On the Family of Diophantine Pairs $
                                  P_{2 k}, 2 P_{2 k + 2} $ . . . . . . . . 25
               Patrick Moss and   
                       Tom Ward   Fibonacci Along Even Powers Is (Almost)
                                  Realizable . . . . . . . . . . . . . . . 40
              Mohammad Javaheri   Upper Bound Residues of the Fibonacci
                                  Sequence Modulo Primes . . . . . . . . . 48
                   Abigail Hoit   An Asymptotic Upper Bound for Counting
                                  Fiven Numbers  . . . . . . . . . . . . . 52
               Anna Cusenza and   
           Aidan Dunkelberg and   
               Kate Huffman and   
                 Dianhui Ke and   
           Micah McClatchey and   
           Steven J. Miller and   
            Clayton Mizgerd and   
            Vashisth Tiwari and   
                 Jingkai Ye and   
                  Xiaoyan Zheng   Bounds on Zeckendorf Games . . . . . . . 57
                   Thomas Koshy   Products Involving Reciprocals of
                                  Jacobsthal Polynomials . . . . . . . . . 72
                   Harris Kwong   Elementary Problems and Solutions  . . . 82
                   Florian Luca   Advanced Problems and Solutions  . . . . 90

Fibonacci Quarterly
Volume 60, Number 2, May, 2022

                      Anonymous   Fibonacci Conference Announcement  . . . 98
         Ziqian (Alexa) Jin and   
                   Greg Dresden   Tetranacci Identities Via Hexagonal
                                  Tilings  . . . . . . . . . . . . . . . . 99
                   Thomas Koshy   Infinite Sums Involving Gibonacci
                                  Polynomials  . . . . . . . . . . . . . . 104
    H\`ung Vi\dêt Chu and   
               David C. Luo and   
               Steven J. Miller   On Zeckendorf Related Partitions Using
                                  the Lucas Sequence . . . . . . . . . . . 111
                   Thomas Koshy   Infinite Sums Involving Gibonacci
                                  Polynomials Revisited  . . . . . . . . . 120
               Greg Dresden and   
                        Yu Xiao   Weighted Sums of Fibonacci and Lucas
                                  Numbers Through Colorful Tilings . . . . 126
                Paul Kinlaw and   
             Michael Morris and   
          Samanthak Thiagarajan   Sums Related to the Fibonacci Sequence   136
             Russell Jay Hendel   A Method for Uniformly Proving a Family
                                  of Identities  . . . . . . . . . . . . . 151
          George E. Andrews and   
               Matthew Just and   
                     Greg Simay   Anti-Palindromic Compositions  . . . . . 158
                   Harris Kwong   Elementary Problems and Solutions  . . . 177
                   Florian Luca   Advanced Problems and Solutions  . . . . 185

Fibonacci Quarterly
Volume 60, Number 3, August, 2022

                   Thomas Koshy   Infinite Sums Involving Jacobsthal
                                  Polynomials  . . . . . . . . . . . . . . 194
           Max A. Alekseyev and   
        Joseph Samuel Myers and   
         Richard Schroeppel and   
              S. R. Shannon and   
            N. J. A. Sloane and   
                Paul Zimmermann   Three Cousins of Recamán's Sequence . . . 201
          H. E. A. Campbell and   
                   D. L. Wehlau   Zigzag Sequences and Representations of
                                  Integers . . . . . . . . . . . . . . . . 220
               Helmut Prodinger   A Matrix with Sums of Catalan Numbers
                                  --- $ L U $-Decomposition and
                                  Determinant  . . . . . . . . . . . . . . 226
                   Thomas Koshy   Infinite Sums Involving Jacobsthal
                                  Polynomials Revisited  . . . . . . . . . 229
                  A. F. Beardon   Ratios of Generalized Fibonacci Numbers  235
                 R. L. Ollerton   Catalan Numbers and Non-Intersecting
                                  Lattice Paths  . . . . . . . . . . . . . 238
                 Alexandru Gica   Congruences Modulo the Square of a Prime
                                  for Sums Containing Fibonacci Numbers    243
               John M. Campbell   A Matrix-Based Recursion Relation for $
                                  F_{F_n} $  . . . . . . . . . . . . . . . 256
           Wojciech Guzicki and   
               Piotr Zakrzewski   Bijective Proofs of Formulas with $ ( -
                                  1)^n $ . . . . . . . . . . . . . . . . . 262
               John M. Campbell   Products of Multiple-Index Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 267
                   Harris Kwong   Elementary Problems and Solutions  . . . 274
                   Florian Luca   Advanced Problems and Solutions  . . . . 281

Fibonacci Quarterly
Volume 60, Number 4, November, 2022

      Marjorie Bicknell Johnson   In Memoriam --- Fredric T. Howard  . . . 290
      Marjorie Bicknell Johnson   A Report on the 20th International
                                  Conference on Fibonacci Numbers and
                                  Their Applications . . . . . . . . . . . 291
                   Thomas Koshy   Infinite Sums Involving Extended
                                  Gibonacci Polynomials  . . . . . . . . . 292
                   Thomas Koshy   Infinite Sums Involving Extended
                                  Gibonacci Polynomials Revisited  . . . . 302
             Hans J. H. Tuenter   Fibonacci Summation Identities Arising
                                  from Catalan's Identity  . . . . . . . . 312
                John Greene and   
                Junhyun Lim and   
          Shaunak Mashalkar and   
             Edward F. Schaefer   Using Fibonacci Factors to Create
                                  Fibonacci Pseudoprimes . . . . . . . . . 320
             Lawrence Somer and   
       Michal K\vrí\vzek   Frobenius, Lucas, and Dickson
                                  Pseudoprimes . . . . . . . . . . . . . . 325
                   Thomas Koshy   Sums Involving Gibonacci Polynomials . . 344
             Kevin Beanland and   
    H\`ung Vi\dêt Chu and   
          Carrie E. Finch-Smith   Generalized Schreier Sets, Linear
                                  Recurrence Relation, and Turán Graphs . . 352
             Lawrence Somer and   
       Michal K\vrí\vzek   Generalization of a Theorem of Bruckman
                                  on Dickson Pseudoprimes  . . . . . . . . 357
                 Paul C. Kainen   Fibonacci in Somos-5 by Complexification 362
                   Harris Kwong   Elementary Problems and Solutions  . . . 365
           Robert Frontczak and   
                   Florian Luca   Advanced Problems and Solutions  . . . . 373

Fibonacci Quarterly
Volume 60, Number 5, December, 2022

      Marjorie Bicknell-Johnson   Conference Report  . . . . . . . . . . . 1
                      Anonymous   List of Speakers and Talks . . . . . . . 2
           Michael A. Allen and   
                Kenneth Edwards   Fence Tiling Derived Identities
                                  Involving the Metallonacci Numbers
                                  Squared or Cubed . . . . . . . . . . . . 5
             Benjamin Baily and   
               Justine Dell and   
             Irfan Durmi\'c and   
       Henry L. Fleischmann and   
               Faye Jackson and   
              Isaac Mijares and   
           Steven J. Miller and   
             Ethan Pesikoff and   
            Luke Reifenberg and   
         Alicia Smith Reina and   
                    Yingzi Yang   The Bergman Game . . . . . . . . . . . . 18
              Amine Belkhir and   
                   Elif Tan and   
          Mehmet Da\uglì   Some Combinatorial Aspects of
                                  Bi-periodic Incomplete Horadam Sequences 39
         Arthur T. Benjamin and   
               Daniela Elizondo   Counting on Hosoya's Triangle  . . . . . 47
             Hsin-Yun Ching and   
    Rigoberto Flórez and   
                    F. Luca and   
           Antara Mukherjee and   
                 J. C. Saunders   Primes and Composites in the Determinant
                                  Hosoya Triangle  . . . . . . . . . . . . 56
                    Hao Cui and   
                 Xiaoyu Cui and   
            Sophia C. Davis and   
             Irfan Durmi\'c and   
               Qingcheng Hu and   
                   Lisa Liu and   
           Steven J. Miller and   
               Fengping Ren and   
         Alicia Smith Reina and   
                    Eliel Sosis   Sums of Reciprocals of Recurrence
                                  Relations  . . . . . . . . . . . . . . . 111
         Robert Dougherty-Bliss   The Meta-C-Finite Ansatz . . . . . . . . 143
                Emily Evans and   
             Russell Jay Hendel   An Infinite 2-Dimensional Array
                                  Associated With Electric Circuits  . . . 151
             Russell Jay Hendel   A System of Four Simultaneous
                                  Recursions: Generalization of the
                                  Ledin--Shannon--Ollerton Identity  . . . 172
              Brian Hopkins and   
          Aram Tangboonduangjit   Verifying and Generalizing Arndt's
                                  Compositions . . . . . . . . . . . . . . 181
                Sergey Kirgizov   $ \mathbb {Q} $-bonacci Words and
                                  Numbers  . . . . . . . . . . . . . . . . 187
            Sergey Kirgizov and   
  José L. Ramírez   Polyominoes and Graphs Built From
                                  Fibonacci Words  . . . . . . . . . . . . 196
            Bahar Kulo\uglu and   
           Engin Özkan and   
             Anthony G. Shannon   The Narayana Sequence in Finite Groups   212
         Thomas C. Martinez and   
           Steven J. Miller and   
            Clayton Mizgerd and   
                   Chenyang Sun   Generalizing Zeckendorf's Theorem to
                                  Homogeneous Linear Recurrences, I  . . . 222
         Thomas C. Martinez and   
           Steven J. Miller and   
            Clayton Mizgerd and   
                Jack Murphy and   
                   Chenyang Sun   Generalizing Zeckendorf's Theorem to
                                  Homogeneous Linear Recurrences, II . . . 231
                aBa Mbirika and   
            Jürgen Spilker   GCD of Sums of $k$ Consecutive Squares
                                  of Generalized Fibonacci Numbers . . . . 255
           Steven J. Miller and   
                Eliel Sosis and   
                     Jingkai Ye   Winning Strategies for Generalized
                                  Zeckendorf Games . . . . . . . . . . . . 270
           Steven J. Miller and   
                   Fei Peng and   
              Tudor Popescu and   
       Nawapan Wattanawanichkul   Walking to Infinity on the Fibonacci
                                  Sequence . . . . . . . . . . . . . . . . 293
                Sam Northshield   Some Generalizations of a Formula of
                                  Reznick  . . . . . . . . . . . . . . . . 299
         Prasanta Kumar Ray and   
                     Kisan Bhoi   On the Diophantine equation $ N_n = x^a
                                  \pm x^b + 1 $  . . . . . . . . . . . . . 316
             Raphael Schumacher   The Self-Counting Flow . . . . . . . . . 324
          Lejla Smajlovi\'c and   
            Zenan \vSabanac and   
               Lamija \vS\'ceta   On the Generalized Tribonacci Zeta
                                  Function . . . . . . . . . . . . . . . . 344
          Lejla Smajlovi\'c and   
            Zenan \vSabanac and   
               Lamija \vS\'ceta   On the Hurwitz-Type Zeta Function
                                  Associated to the Lucas Sequence . . . . 355
               Earth Sonrod and   
                Kate Tanner and   
                   Colin Leyner   Some Properties of the Fibonacci--Pascal
                                  Triangle . . . . . . . . . . . . . . . . 372
          Pagdame Tiebekabe and   
               Isma\"\ila Diouf   On the Diophantine equation $ F_{n_1} +
                                  F_{n_2} + F_{n_3} + F_{n_4} + F_{n_5} =
                                  2^a $  . . . . . . . . . . . . . . . . . 384
               Steven J. Miller   Problem Section  . . . . . . . . . . . . 401
                      Anonymous   Mathematics books for sale (as a
                                  fundraiser)  . . . . . . . . . . . . . . 403


Fibonacci Quarterly
Volume 61, Number 1, February, 2023

                   Thomas Koshy   Sums Involving Jacobsthal Polynomials    2
                   Thomas Koshy   Additional Sums Involving Gibonacci
                                  Polynomials  . . . . . . . . . . . . . . 12
           Michael A. Allen and   
                Kenneth Edwards   Identities Involving the Tribonacci
                                  Numbers Squared Via Tilings with Combs   21
               Xander Faber and   
                   Jon Grantham   On Integers Whose Sum Is the Reverse of
                                  Their Product  . . . . . . . . . . . . . 28
                   Thomas Koshy   Additional Sums Involving Gibonacci
                                  Polynomials: Graph-Theoretic
                                  Confirmations  . . . . . . . . . . . . . 42
                William Paulsen   Calkin--Wilf Sequences for Irrational
                                  Numbers  . . . . . . . . . . . . . . . . 51
                   Thomas Koshy   Additional Sums Involving Gibonacci
                                  Polynomials Revisited  . . . . . . . . . 60
Kou\`essi Norbert Adédji and   
               Alan Filipin and   
        Salah Eddine Rihane and   
             Alain Togbé   Fibonacci or Lucas Numbers That Are
                                  Concatenations of Two g-Repdigits  . . . 68
                   Harris Kwong   Elementary Problems and Solutions  . . . 84
               Robert Frontczak   Advanced Problems and Solutions  . . . . 91

Fibonacci Quarterly
Volume 61, Number 2, May, 2023

                   Thomas Koshy   Sums Involving Gibonacci Polynomial
                                  Squares  . . . . . . . . . . . . . . . . 98
             Michel Dekking and   
                    Ad van Loon   On the Representation of the Natural
                                  Numbers by Powers of the Golden Mean . . 105
                   Thomas Koshy   Sums Involving Gibonacci Polynomial
                                  Squares: Graph-theoretic Confirmations   119
            Harold R. Parks and   
                  Dean C. Wills   Sums of $k$-Bonacci Numbers  . . . . . . 129
                   Thomas Koshy   Sums Involving Jacobsthal Polynomial
                                  Squares  . . . . . . . . . . . . . . . . 135
               John M. Campbell   Sums of Fibonacci Numbers Indexed by
                                  Integer Parts  . . . . . . . . . . . . . 143
                   Thomas Koshy   Sums Involving Gibonacci Polynomial
                                  Squares Revisited  . . . . . . . . . . . 153
                King Shun Leung   $ \phi $-Expansions of Rationals . . . . 162
         Passawan Noppakaew and   
          Pavita Kanwarunyu and   
          Parit Wanitchatchawan   $k$-Fibonacci Numbers and $k$-Lucas
                                  Numbers in Beatty Sequences Generated by
                                  Powers of Metallic Means . . . . . . . . 167
                   Harris Kwong   Elementary Problems and Solutions  . . . 178
               Robert Frontczak   Advanced Problems and Solutions  . . . . 185

Fibonacci Quarterly
Volume 61, Number 3, August, 2023

        H\`ung Vi\.êt Chu   A Note on the Fibonacci Sequence and
                                  Schreier-Type Sets . . . . . . . . . . . 194
                   Thomas Koshy   Sums Involving Gibonacci Polynomial
                                  Squares: Generalizations . . . . . . . . 197
                   Thomas Koshy   Additional Sums Involving Gibonacci
                                  Polynomial Squares . . . . . . . . . . . 207
                Jeffrey Shallit   Some Tribonacci Conjectures  . . . . . . 214
                   Thomas Koshy   Additional Sums Involving Jacobsthal
                                  Polynomial Squares . . . . . . . . . . . 222
                    Maciej Ulas   Representing Generalized Derangements as
                                  Sums of Three Squares  . . . . . . . . . 231
              Beno\^\it Rittaud   Fibonacci-like Sequences for Variants of
                                  the Tower of Hanoi, with Corresponding
                                  Graphs and Gray Codes  . . . . . . . . . 240
Guilherme Zeus Dantas E Moura and   
            Andrew Keisling and   
               Astrid Lilly and   
               Annika Mauro and   
           Steven J. Miller and   
              Matthew Phang and   
 Santiago Velazquez Iannuzzelli   Recurrence Relations for $S$-Legal Index
                                  Difference Sequences . . . . . . . . . . 257
                   Harris Kwong   Elementary Problems and Solutions  . . . 275
               Robert Frontczak   Advanced Problems and Solutions  . . . . 282

Fibonacci Quarterly
Volume 61, Number 4, November, 2023

                   Thomas Koshy   Infinite Sums Involving Gibonacci
                                  Polynomials Revisited: Generalizations   291
               Florian Luca and   
           Japhet Odjoumani and   
             Alain Togbé   Tribonacci Numbers That Are Products of
                                  Two Fibonacci Numbers  . . . . . . . . . 298
                   Thomas Koshy   Infinite Sums Involving Jacobsthal
                                  Polynomials: Generalizations . . . . . . 305
                   Thomas Koshy   Sums Involving Two Classes of Gibonacci
                                  Polynomials  . . . . . . . . . . . . . . 312
                  Jathan Austin   On Pythagorean Triple Preserving
                                  Matrices That Contain Fibonacci Numbers  321
                   Thomas Koshy   Sums Involving Two Classes of Gibonacci
                                  Polynomials Revisited  . . . . . . . . . 327
                   Thomas Koshy   Additional Sums Involving Gibonacci
                                  Polynomial Squares Revisited . . . . . . 334
                 Michael Nyblom   Deleting Terms of the Divergent
                                  $p$-Series and Reciprocals of Primes
                                  Series Using the Thue--Morse Sequence    339
                   Thomas Koshy   More Sums Involving Gibonacci Polynomial
                                  Squares  . . . . . . . . . . . . . . . . 346
                 Chance Sanford   A Remark on Dedekind Sums and
                                  Palindromic Continued Fractions  . . . . 357
             Hans J. H. Tuenter   A Triple Fibonacci Sum and Some
                                  Historical Notes . . . . . . . . . . . . 361
                   Harris Kwong   Elementary Problems and Solutions  . . . 367
               Robert Frontczak   Advanced Problems and Solutions  . . . . 374
                      Anonymous   Volume Index . . . . . . . . . . . . . . 382


Fibonacci Quarterly
Volume 62, Number 1, February, 2024

                      Anonymous   Fibonacci Conference Announcement  . . . 2
Diego Garcia-Fernandezsesma and   
           Steven J. Miller and   
              Thomas Rascon and   
            Risa Vandegrift and   
                   Ajmain Yamin   The Accelerated Zeckendorf Game  . . . . 3
           Michael A. Jones and   
           Brittany C. Ohlinger   Self-Similar Structure of $P$-Positions
                                  of the Game Euclid . . . . . . . . . . . 15
                   Thomas Koshy   More Sums Involving Gibonacci Polynomial
                                  Squares Revisited  . . . . . . . . . . . 29
                   Thomas Koshy   Sums Involving a Class of Gibonacci
                                  Polynomial Squares: Generalizations  . . 34
               Thomas Koshy and   
                  Zhenguang Gao   Sums Involving a Class of Jacobsthal
                                  Polynomial Squares . . . . . . . . . . . 40
     Andreea M. St\uanic\ua and   
    Gabriela N. St\uanic\ua and   
         Pantelimon St\uanic\ua   An Evaluation of Rationally Weighted
                                  Binomial Sums Via Some Differential and
                                  Integral Operators . . . . . . . . . . . 45
           John M. Campbell and   
Emrah Kìlìç   Binomial Sums Involving Second-Order
                                  Linearly Recurrent Sequences . . . . . . 57
                  Joseph Tonien   Fibonacci and Pi Squared . . . . . . . . 65--74
                   Thomas Koshy   Sums Involving a Family of Gibonacci
                                  Polynomial Squares: Generalizations  . . 75
                   Harris Kwong   Elementary Problems and Solutions  . . . 84
               Robert Frontczak   Advanced Problems and Solutions  . . . . 90


Monatshefte f{\"u}r Mathematik und Physik
Volume 4, Number 1, 1893

             Leopold Gegenbauer   Bemerkung über Leonardo Pisano's
                                  \booktitleliber Abaci. (German) [Remark
                                  on Leonardo Pisano's \booktitleliber
                                  Abaci] . . . . . . . . . . . . . . . . . 402


American Mathematical Monthly
Volume 26, Number 1, 1919

                 R. B. McClenon   Leonardo of Pisa and his \booktitleLiber
                                  Quadratorum  . . . . . . . . . . . . . . 1--8


Storia delle mathematiche {I} ({Turin})
Volume ??, Number ??, 1929

                       G. Loria   Leonardo Fibonacci . . . . . . . . . . . 379--410


Period. Mat.
Volume 19, 1939

               Ettore Carruccio   L'estrazione di radice cubica, mediante
                                  inserzione di due medie proporzionali
                                  fra due segmenti dati, in Leonardo
                                  Pisano. (Italian) [The extraction of the
                                  cube root, by inserting two mean
                                  proportions between two data segments,
                                  in Leonardo of Pisa] . . . . . . . . . . 189--197


Boll. Un. Mat. Ital. (2)
Volume 2, 1940

                Attilio Frajese   L'algebra geometrica in Leonardo Pisano.
                                  (Italian) [The geometric algebra of
                                  Leonardo Pisano] . . . . . . . . . . . . 363--365


American Mathematical Monthly
Volume 47, Number 2, February, 1940

                 L. S. Johnston   The Fibonacci Sequence and Allied
                                  Trigonometric Identities . . . . . . . . 85--89


Archeion
Volume 23, 1941

             José Babini   On the linear systems of Leonardo Pisano 57--61


American Mathematical Monthly
Volume 52, Number 4, April, 1945

               Irving Kaplansky   Lucas's Tests for Mersenne Numbers . . . 188--190


American Mathematical Monthly
Volume 53, Number 8, October, 1946

                     Dov Jarden   Two Theorems on Fibonacci's Sequence . . 425--427


Scripta Mathematica
Volume 14, Number ??, 1948

               Charles W. Raine   Pythagorean triangles from the Fibonacci
                                  series . . . . . . . . . . . . . . . . . 164


Boll. Un. Mat. Ital. (3)
Volume 4, Number ??, 1949

                    A. Agostini   L'uso delle lettere nel \booktitleLiber
                                  abaci di Leonardo Fibonacci. (Italian)
                                  [The use of the letters in
                                  \booktitleLiber abaci Leonardo
                                  Fibonacci] . . . . . . . . . . . . . . . 282--287


Scripta Mathematica
Volume 16, Number ??, 1950

                Robert S. Beard   The golden section and Fibonacci numbers 116--119

Scripta Mathematica
Volume 16, Number 3, 1950

                       P. Schub   A minor Fibonacci curiosity  . . . . . . 214--214


Scripta Mathematica
Volume 17, Number 3-4, 1951

                     G. Candido   A relationship between the fourth powers
                                  of the terms of the Fibonacci series . . 230--230

Scripta Math.
Volume 17, 1951

                 Carolyn Eisele   The \booktitleLiber Abaci through the
                                  eyes of Charles S. Peirce  . . . . . . . 236--259


Archimede. Rivista per gli Insegnanti e i Cultori di Matematiche Pure e Applicate
Volume 5, Number ??, 1953

                Amedeo Agostini   Leonardo Fibonacci . . . . . . . . . . . 205--206


Scripta Mathematica
Volume 19, Number 2--3, 1953

                       D. Block   Curiosum # 330: Fibonacci summations . . 191--191


Scripta Mathematica
Volume 18, Number ??, 1953

                   Daniel Block   Symbolic formulae involving Fibonacci
                                  numbers  . . . . . . . . . . . . . . . . 306--307


American Mathematical Monthly
Volume 60, Number 10, December, 1953

                   K. Subba Rao   Some Properties of Fibonacci Numbers . . 680--684


Scripta Mathematica
Volume 19, Number ??, December, 1954

                    J. Ginsburg   A relationship between cubes of
                                  Fibonacci numbers  . . . . . . . . . . . 242--242


Scripta Mathematica
Volume 20, Number ??, 1954

               Charles W. Raine   Fibonacci equiareal triangles  . . . . . 96--98
            Raphael I. Reichman   A summation formula involving Fibonacci
                                  numbers  . . . . . . . . . . . . . . . . 111--112


Scripta Mathematica
Volume 21, Number ??, 1955

                   K. Subba Rao   Some summation formulae involving
                                  Fibonacci numbers  . . . . . . . . . . . 214--217


American Mathematical Monthly
Volume 63, Number 9, November, 1956

                    J. H. Means   Classroom Notes: Predetermined
                                  Determinant Values Using Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 657--658


Scripta Mathematica
Volume 23, Number ??, 1957

             Richard P. Kelisky   On formulas involving both the Bernoulli
                                  and Fibonacci numbers  . . . . . . . . . 27--35
             Richard P. Kelisky   On formulas involving both the Bernoulli
                                  and Fibonacci numbers  . . . . . . . . . 27--35


American Mathematical Monthly
Volume 66, Number 2, February, 1959

                   Sam E. Ganis   Classroom Notes: Notes on the Fibonacci
                                  Sequence . . . . . . . . . . . . . . . . 129--130


Communications of the Association for Computing Machinery
Volume 3, Number 12, December, 1960

              David E. Ferguson   Fibonaccian searching  . . . . . . . . . 648--648


American Mathematical Monthly
Volume 67, Number 8, October, 1960

               E. P. Miles, Jr.   Generalized Fibonacci Numbers and
                                  Associated Matrices  . . . . . . . . . . 745--752

American Mathematical Monthly
Volume 67, Number 9, November, 1960

                 George Shapiro   Mathematical Notes: Some Properties of
                                  the Fibonacci Numbers  . . . . . . . . . 876--876

American Mathematical Monthly
Volume 67, Number 6, June / July, 1960

                     D. D. Wall   Fibonacci Series Modulo $m$  . . . . . . 525--532


American Mathematical Monthly
Volume 68, Number 7, August / September, 1961

                  A. F. Horadam   Corrections: a Generalized Fibonacci
                                  Sequence . . . . . . . . . . . . . . . . 637--637

American Mathematical Monthly
Volume 68, Number 8, October, 1961

                  A. F. Horadam   Fibonacci Number Triples . . . . . . . . 751--753

American Mathematical Monthly
Volume 68, Number 5, May, 1961

                  A. F. Horadam   A Generalized Fibonacci Sequence . . . . 455--459


Communications of the Association for Computing Machinery
Volume 4, Number 6, June, 1961

                  M. L. Juncosa   Letter to the Editor: concerning
                                  Ferguson's paper on Fibonaccian
                                  searching  . . . . . . . . . . . . . . . 252--252


American Mathematical Monthly
Volume 68, Number 7, August / September, 1961

               S. E. Mamangakis   Mathematical Notes: Remarks on the
                                  Fibonacci Series Modulo $m$  . . . . . . 648--649


American Mathematical Monthly
Volume 69, Number 10, December, 1962

               Stephen Puckette   Recent Publications: \em Popular
                                  Lectures in Mathematics Series, Vol. 1
                                  The Method of Mathematical Induction, by
                                  I. S. Sominskii; \em Popular Lectures in
                                  Mathematics Series, Vol. 2 Fibonacci
                                  Numbers, by N. N. Vorob'ev; \em Popular
                                  Lectures in Mathematics Series, Vol. 3
                                  Some Applications of Mechanics to
                                  Mathematics, by V. A. Uspenskii; \em
                                  Popular Lectures in Mathematics Series,
                                  Vol. 4 Geometrical Constructions Using
                                  Compasses Only, by A. N. Kostovskii; \em
                                  Popular Lectures in Mathematics Series,
                                  Vol. 5 The Ruler in Geometrical
                                  Constructions, by A. S. Smogorzhevskii;
                                  \em Popular Lectures in Mathematics
                                  Series, Vol. 6 Inequalities, by P. P.
                                  Korovkin . . . . . . . . . . . . . . . . 1020--1020


American Mathematical Monthly
Volume 70, Number 4, April, 1963

                    S. L. Basin   Generalized Fibonacci Sequences and
                                  Squared Rectangles . . . . . . . . . . . 372--379

American Mathematical Monthly
Volume 70, Number 3, March, 1963

                  A. F. Horadam   Mathematical Notes: Complex Fibonacci
                                  Numbers and Fibonacci Quaternions  . . . 289--291


Communications of the Association for Computing Machinery
Volume 6, Number 10, October, 1963

                  P. Krolak and   
                      L. Cooper   An extension of Fibonaccian search to
                                  several variables  . . . . . . . . . . . 639--641


American Mathematical Monthly
Volume 70, Number 8, October, 1963

                   Dmitri Thoro   Classroom Notes: Regula Falsi and the
                                  Fibonacci Numbers  . . . . . . . . . . . 869--869


Mathematics of Computation
Volume 17, Number 84, October, 1963

                  M. Wunderlich   On the Non-Existence of Fibonacci
                                  Squares (in Technical Notes and Short
                                  Papers)  . . . . . . . . . . . . . . . . 455--457


American Mathematical Monthly
Volume 70, Number 9, November, 1963

                  David Zeitlin   Classroom Notes: On Identities for
                                  Fibonacci Numbers  . . . . . . . . . . . 987--991


American Mathematical Monthly
Volume 71, Number 8, October, 1964

                      U. Alfred   Mathematical Notes: Relation of Zeros to
                                  Periods in the Fibonacci Sequence Modulo
                                  a Prime  . . . . . . . . . . . . . . . . 897--899

American Mathematical Monthly
Volume 71, Number 6, June / July, 1964

                 Floyd Buchanan   Mathematical Notes: $ {N} $-th Powers in
                                  the Fibonacci Series . . . . . . . . . . 647--649

American Mathematical Monthly
Volume 71, Number 10, December, 1964

                 Floyd Buchanan   Mathematical Notes: Retraction of ``$
                                  {N} $-th Powers in the Fibonacci
                                  Series'' . . . . . . . . . . . . . . . . 1112--1112

American Mathematical Monthly
Volume 71, Number 6, June / July, 1964

                 Floyd Buchanan   Mathematical Notes: $N$-th Powers in the
                                  Fibonacci Series . . . . . . . . . . . . 647--649

American Mathematical Monthly
Volume 71, Number 4, April, 1964

                 P. J. Federico   Mathematical Notes: a Fibonacci Perfect
                                  Squared Square . . . . . . . . . . . . . 404--406


Mathematics of Computation
Volume 18, Number 85, January, 1964

             Sidney Kravitz and   
                    Murray Berg   Lucas' Test for Mersenne Numbers, $ 6000
                                  < p < 7000 $ (in Technical Notes and Short
                                  Papers)  . . . . . . . . . . . . . . . . 148--149


American Mathematical Monthly
Volume 72, Number 3, March, 1965

                   Joseph Arkin   An Extension of the Fibonacci Numbers    275--279

American Mathematical Monthly
Volume 72, Number 8, October, 1965

                    D. M. Bloom   On Periodicity in Generalized Fibonacci
                                  Sequences  . . . . . . . . . . . . . . . 856--861


Journal of the Association for Computing Machinery
Volume 12, Number 1, January, 1965

         M. Donald MacLaren and   
               George Marsaglia   Uniform Random Number Generators . . . . 83--89


Nordisk Tidskrift for Informationsbehandling
Volume 5, Number 4, 1965

                 K. J. Overholt   An Instability in the Fibonacci and
                                  Golden Section Search Methods  . . . . . 284--286


Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques
Volume 18, Number ??, 1966

                George N. Raney   Generalization of the Fibonacci sequence
                                  to $n$ dimensions  . . . . . . . . . . . 332--349


Mathematics of Computation
Volume 21, Number 100, October, 1967

             Friedrich Gebhardt   Generating Pseudo-Random Numbers by
                                  Shuffling a Fibonacci Sequence (in
                                  Technical Notes and Short Papers)  . . . 708--709


The Computer Journal
Volume 9, Number 4, February, 1967

                 K. J. Overholt   Note on Algorithm 2: Fibonacci search    414--414
                 M. C. Pike and   
                 I. D. Hill and   
                    F. D. James   Note on Algorithm 2: Fibonacci search,
                                  and on Algorithm 7: MINX . . . . . . . . 416--417


SIAM Journal on Control
Volume 6, Number ??, 1968

              Patrick D. Krolak   Further extensions of Fibonaccian search
                                  to nonlinear programming problems  . . . 258--265


Atti Fond. Giorgio Ronchi Contrib. Ist. Naz. Ottica
Volume 22, 1969

                   Gino Arrighi   Il trattato di geometria e la
                                  volgarizzazione del \booktitleLiber
                                  quadratorum di Leonardo Pisano del
                                  Codice Palatino 577 (sec XV) della
                                  Biblioteca Nazionale di Firenze.
                                  (Italian) [The treatise on geometry and
                                  the vulgarization of the \booktitleLiber
                                  quadratorum of Leonardo Pisano in the
                                  Palatino Code 577 (XV century) the
                                  National Library of Florence]  . . . . . 760--775


Journal of Mathematical Physics
Volume 10, Number 8, August, 1969

            Richard Barakat and   
              Elizabeth Baumann   $M$ th Power of an $ N \times N $ Matrix
                                  and Its Connection with the Generalized
                                  Lucas Polynomials  . . . . . . . . . . . 1474--1476


Mathematics of Computation
Volume 23, Number 108, October, 1969

                    Hans Riesel   Lucasian Criteria for the Primality of $
                                  \mathcal {N} = h \cdot 2^n - 1 $ . . . . 869--875


Journal of Mathematical Physics
Volume 12, Number 1, January, 1971

                  Yehiel Ilamed   Powers of a matrix and the generalized
                                  Lucas polynomials  . . . . . . . . . . . 113--113


American Mathematical Monthly
Volume 78, Number 10, December, 1971

                   M. D. Miller   Mathematical Notes: On Generalized
                                  Fibonacci Numbers  . . . . . . . . . . . 1108--1109


Lecture Notes in Mathematics
Volume 251, 1972

                 L. Carlitz and   
              V. E. Hoggatt and   
               Richard Scoville   Some functions related to Fibonacci and
                                  Lucas representations  . . . . . . . . . 71--102


Information Processing Letters
Volume 1, Number 5, October ??, 1972

                 J. Král   Erratum: ``A new additive pseudorandom
                                  number generator for extremely short
                                  word-length''  . . . . . . . . . . . . . 216--216

Information Processing Letters
Volume 1, Number 4, June ??, 1972

                 J. Král   A new additive pseudorandom number
                                  generator for extremely short
                                  word-length  . . . . . . . . . . . . . . 164--167


Journal of Mathematical Physics
Volume 13, Number 3, March, 1972

   I. V. V. Raghavacharyulu and   
                A. R. Tekumalla   Solution of the difference equations of
                                  generalized Lucas polynomials  . . . . . 321--324


Bulletin de la Soci{\'e}t{\'e} royale des sciences de Li{\`e}ge
Volume 41, 1972

                  E. Zeckendorf   Représentation des Nombres naturels par
                                  une Somme de Nombres de Fibonacci ou de
                                  Nombres de Lucas. (French)
                                  [Representation of the natural numbers
                                  by a sum of Fibonacci or Lucas numbers]  179--182


Communications of the Association for Computing Machinery
Volume 16, Number 10, October, 1973

           Daniel S. Hirschberg   A Class of Dynamic Memory Allocation
                                  Algorithms . . . . . . . . . . . . . . . 615--618


BIT (Nordisk tidskrift for informationsbehandling)
Volume 13, Number 1, March, 1973

                 K. J. Overholt   Efficiency of the Fibonacci Search
                                  Method . . . . . . . . . . . . . . . . . 92--96


American Mathematical Monthly
Volume 80, Number 2, February, 1973

              A. G. Shannon and   
                  A. F. Horadam   Mathematical Notes: Generalized
                                  Fibonacci Number Triples . . . . . . . . 187--190


Journal of the Association for Computing Machinery
Volume 20, Number 3, July, 1973

           J. P. R. Tootill and   
             W. D. Robinson and   
                    D. J. Eagle   An Asymptotically Random Tausworthe
                                  Sequence . . . . . . . . . . . . . . . . 469--481


Archimede. Rivista per gli Insegnanti e i Cultori di Matematiche Pure e Applicate
Volume 26, Number 5--6, 1974

               Silvio Maracchia   La regola ``Elchatayn'' in Leonardo
                                  Pisano. (Italian) [The Elchatayn rule in
                                  Leonardo Pisano] . . . . . . . . . . . . 321--329


Mathematics of Computation
Volume 29, Number 130, April, 1975

             John Brillhart and   
               D. H. Lehmer and   
                J. L. Selfridge   New primality criteria and
                                  factorizations of $ 2^m \pm 1 $  . . . . 620--647


Canadian Mathematical Bulletin = Bulletin canadien de math{\'e}matiques
Volume 18, Number ??, 1975

             C. M. Campbell and   
                E. F. Robertson   A note on Fibonacci type groups  . . . . 173--176

Communications of the Association for Computing Machinery
Volume 18, Number 6, June, 1975

               Ben Cranston and   
                    Rick Thomas   Simplified Recombination Scheme for the
                                  Fibonacci Buddy System . . . . . . . . . 331--332


The {Australian} Mathematics Teacher
Volume 31, Number ??, 1975

                  A. F. Horadam   Eight hundred years young  . . . . . . . 123--134


Mathematics of Computation
Volume 29, Number 129, January, 1975

                J. C. P. Miller   On Factorisation, with a Suggested New
                                  Approach . . . . . . . . . . . . . . . . 155--172
            Michael A. Morrison   A Note on Primality Testing Using Lucas
                                  Sequences  . . . . . . . . . . . . . . . 181--182


SIAM Review
Volume 17, Number 3, 1975

                    B. R. Myers   Spanning Trees, Weighted Compositions,
                                  Fibonacci Numbers, and Resistor Networks 465--474


Historia Mathematica
Volume 3, Number 3, August, 1976

             Stanislaw Glushkov   On approximation methods of Leonardo
                                  Fibonacci  . . . . . . . . . . . . . . . 291--296


Mathematics of Computation
Volume 30, Number 133, January, 1976

             H. C. Williams and   
                     J. S. Judd   Determination of the primality of $N$ by
                                  using factors of $ N^2 \pm 1 $ . . . . . 157--172


Communications of the Association for Computing Machinery
Volume 20, Number 6, June, 1977

          James L. Peterson and   
             Theodore A. Norman   Buddy Systems  . . . . . . . . . . . . . 421--431


History and methodology of the natural sciences
Volume XX, Number ??, 1978

              I. G. Ba\vsmakova   The \booktitleLiber quadratorum of
                                  Leonardo of Pisa. (Russian)  . . . . . . 27--37


Two-Year College Mathematics Journal
Volume 9, Number 3, June, 1978

             Judithlynne Carson   Fibonacci Numbers and Pineapple
                                  Phyllotaxy . . . . . . . . . . . . . . . 132--136


Canadian Mathematical Bulletin = Bulletin canadien de math{\'e}matiques
Volume 21, Number ??, 1978

                A. Eswarathasan   On square pseudo-Lucas numbers . . . . . 297--304


Journal of Theoretical Biology
Volume 74, Number 2, September 21, 1978

               David W. Roberts   The origin of Fibonacci phyllotaxis ---
                                  an analysis of Adler's contact pressure
                                  model and Mitchison's expanding apex
                                  model  . . . . . . . . . . . . . . . . . 217--233


Information Processing Letters
Volume 7, Number 6, October ??, 1978

                  Joseph Shortt   An iterative program to calculate
                                  Fibonacci numbers in $ O(\log n) $
                                  arithmetic operations  . . . . . . . . . 299--303


The Computer Journal
Volume 22, Number 1, February, 1979

                   J. Boothroyd   Certification of Algorithm 2: Fibonacci
                                  search . . . . . . . . . . . . . . . . . 86--86


Mathematics of Computation
Volume 33, Number 145, January, 1979

             R. E. Crandall and   
                     M. A. Penk   A Search for Large Twin Prime Pairs  . . 383--388


Canadian Mathematical Bulletin = Bulletin canadien de math{\'e}matiques
Volume 22, Number ??, 1979

                A. Eswarathasan   On pseudo-Lucas numbers of the form $ 2
                                  S^2 $  . . . . . . . . . . . . . . . . . 29--34


Lecture Notes in Mathematics
Volume 748, 1979

              A. F. Horadam and   
                  R. P. Loh and   
                  A. G. Shannon   Divisibility properties of some
                                  Fibonacci-type sequences . . . . . . . . 55--64


Physis: Rivista Internazionale di Storia della Scienza
Volume 21, Number 1--4, 1979

                 Ettore Picutti   The \booktitleBook of squares of
                                  Leonardo of Pisa and the problems of
                                  indeterminate analysis in the Palatine
                                  Codex 557 of the National Library in
                                  Florence. Introduction and comments  . . 195--339 (1980)


The Computer Journal
Volume 22, Number 1, February, 1979

                 M. C. Pike and   
                      J. Pixner   Algorithm 2: Fibonacci search  . . . . . 86--86


Mathematics of Computation
Volume 35, Number 152, October, 1980

             Robert Baillie and   
        Samuel S. Wagstaff, Jr.   Lucas Pseudoprimes . . . . . . . . . . . 1391--1417


Information Processing Letters
Volume 11, Number 2, October ??, 1980

                David Gries and   
                     Gary Levin   Computing Fibonacci numbers (and
                                  similarly defined functions) in log time 68--69


Journal of Applied Probability
Volume 17, Number 4, December, 1980

                    C. C. Heyde   On a Probabilistic Analogue of the
                                  Fibonacci Sequence . . . . . . . . . . . 1079--1082


Information Processing Letters
Volume 11, Number 4--5, December 12, 1980

             Alberto Pettorossi   Derivation of an $ O(k^2 \, \log n) $
                                  algorithm for computing order-$k$
                                  Fibonacci numbers from the $ O(k^3 \,
                                  \log n) $ matrix multiplication method   172--179


Mathematics of Computation
Volume 35, Number 151, July, 1980

             Carl Pomerance and   
            J. L. Selfridge and   
        Samuel S. Wagstaff, Jr.   The Pseudoprimes to $ 25 \cdot 10^9 $    1003--1026


Gaz. Mat. Mat. Inform.
Volume 1, Number 3, 1980

                  Julia Weszely   Fibonacci, Leonardo Pisano (c. 1170--c.
                                  1240). (Romanian)  . . . . . . . . . . . 124--126


Information Processing Letters
Volume 10, Number 2, March 18, 1980

           Thomas C. Wilson and   
                  Joseph Shortt   An $ O(\log n) $ algorithm for computing
                                  general order-$k$ Fibonacci numbers  . . 68--75


Information Processing Letters
Volume 12, Number 4, 1981

                   Aldo de Luca   A combinatorial property of the
                                  Fibonacci words  . . . . . . . . . . . . 193--195


Journal of Applied Probability
Volume 18, Number 3, September, 1981

                    C. C. Heyde   On Fibonacci (Or Lagged
                                  Bienaymé--Galton--Watson) Branching
                                  Processes  . . . . . . . . . . . . . . . 583--591


Historia Scientiarum = International journal of the {History of Science Society of Japan}
Volume 21, Number ??, 1981

                    Nobuo Miura   The Algebra in the \booktitleLiber Abaci
                                  of Leonardo Pisano . . . . . . . . . . . 57--65


Physis: Rivista Internazionale di Storia della Scienza
Volume 23, Number 2, 1981

                 Ettore Picutti   Sui numeri congruo-congruenti di
                                  Leonardo Pisano. (Italian) [Leonardo of
                                  Pisa's congruous-congruent numbers]  . . 141--170


SIAM Journal on Mathematical Analysis
Volume 13, Number 1, January, 1982

            Massimo Bruschi and   
             Paolo Emilio Ricci   An Explicit Formula for $ f(\mathcal
                                  {A}) $ and the Generating Functions of
                                  the Generalized Lucas Polynomials  . . . 162--165


Menemui Mat.
Volume 4, Number 2, 1982

                  Poh Ken Chong   The life and work of Leonardo of Pisa    60--66


The Computer Journal
Volume 25, Number 3, August, 1982

                  M. D. McIlroy   The Number of States of a Dynamic
                                  Storage Allocation System  . . . . . . . 388--392

Canadian Mathematical Bulletin = Bulletin canadien de math{\'e}matiques
Volume 25, Number ??, 1982

                 H. C. Williams   A note on the Fibonacci quotient $ F_{p
                                  - \varepsilon } / p $  . . . . . . . . . 366--370


Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques
Volume 34, Number ??, 1982

                 Neyamat Zaheer   On Lucas-sets for vector-valued abstract
                                  polynomials in $K$-inner product spaces  832--852


Fibonacci Quarterly
Volume 21, Number 4, 1983

                 John Brillhart   Letter to the editor: ``Properties of
                                  polynomials having Fibonacci numbers for
                                  coefficients'' [Fibonacci Quart. \bf 21
                                  (1983), no. 1, 62--64; MR 84f:10018a] by
                                  D. H. Lehmer and E. Lehmer . . . . . . . 259


Information Processing Letters
Volume 17, Number 1, July 19, 1983

                       M. C. Er   Computing Sums of Order-$k$ Fibonacci
                                  Numbers in Log Time  . . . . . . . . . . 1--5


The Computer Journal
Volume 26, Number 3, August, 1983

                       M. C. Er   Fast Algorithm for Computing Order-$K$
                                  Fibonacci Numbers  . . . . . . . . . . . 224--227


Physis: Rivista Internazionale di Storia della Scienza
Volume 25, Number 2, 1983

                 Ettore Picutti   Il \booktitleFlos di Leonardo Pisano dal
                                  codice E.75.P. sup. della Biblioteca
                                  Ambrosiana di Milano. (Italian) [The
                                  ``\booktitleFlos'' of Leonardo Pisano
                                  (from the Codex E.75.P. sup. of the
                                  Ambrosia Library of Milan)]  . . . . . . 293--387
                 Ettore Picutti   The ``Flos'' of Leonardo Pisano (dal
                                  codice E. 75 P. sup. della Biblioteca
                                  Ambrosiana di Milano)  . . . . . . . . . 293--387


Canadian Mathematical Bulletin = Bulletin canadien de math{\'e}matiques
Volume 26, Number ??, 1983

               Helmut Prodinger   Ordered Fibonacci partitions . . . . . . 312--316


Annals of the History of Computing
Volume 5, Number 3, July / September, 1983

                 M. R. Williams   From Napier to Lucas: The Use of
                                  Napier's Bones in Calculating
                                  Instruments  . . . . . . . . . . . . . . 279--296


College Mathematics Journal
Volume 15, Number 2, March, 1984

                  Curtis Cooper   Application of a Generalized Fibonacci
                                  Sequence . . . . . . . . . . . . . . . . 145--147


Theoretical Computer Science
Volume 29, Number 1-2, March, 1984

                 A. S. Fraenkel   Wythoff games, continued fractions,
                                  cedar trees and Fibonacci searches . . . 49--73


Annals of the History of Computing
Volume 6, Number 4, October / December, 1984

            Donald E. Knuth and   
               Erwin Tomash and   
                 M. R. Williams   Comments, Queries, and Debate: FORTRAN
                                  implementations; The Madrid promptuary;
                                  Edouard Lucas Vindicated; Photo Essays   402--405


Information Processing Letters
Volume 19, Number 2, August 31, 1984

            Alain J. Martin and   
                     Martin Rem   A presentation of the Fibonacci
                                  algorithm  . . . . . . . . . . . . . . . 67--68


International Journal of Computer and Information Sciences
Volume 13, Number 2, April, 1984

             Thomas Ottmann and   
        Arnold L. Rosenberg and   
            Hans-Werner Six and   
                    Derick Wood   Binary search trees with binary
                                  comparison cost  . . . . . . . . . . . . 77--101


American Mathematical Monthly
Volume 91, Number 6, June / July, 1984

                 G. M. Phillips   Aitken Sequences and Fibonacci Numbers   354--357


Centaurus: An International Journal of the History of Science and its Cultural Aspects
Volume 28, Number 2, July, 1985

            Leonard Curchin and   
            Roger Herz-Fischler   De quand date le premier rapprochement
                                  entre la suite de Fibonacci et la
                                  division en extreme et moyenne raison?.
                                  (French) [When was the first
                                  reconciliation between the Fibonacci
                                  series and division in extreme and mean
                                  reason?] . . . . . . . . . . . . . . . . 129--138


Journal of Mathematical Physics
Volume 26, Number 9, September, 1985

            Sherif El-Basil and   
             Pavel K\vrivka and   
             Nenad Trinajsti\'c   Fibonacci graphs possessing identical
                                  matching polynomials . . . . . . . . . . 2396--2398


Janus
Volume 72, Number 1--3, 1985

                  R. Franci and   
              L. Toti Rigatelli   Towards a history of algebra from
                                  Leonardo of Pisa to Luca Pacioli . . . . 17--82


Linear Algebra and its Applications
Volume 67, 1985

           George Marsaglia and   
                Liang-Huei Tsay   Matrices and the structure of random
                                  number sequences . . . . . . . . . . . . 147--156


Mathematics of Computation
Volume 45, Number 172, October, 1985

               J. H. McCabe and   
                 G. M. Phillips   Aitken sequences and generalized
                                  Fibonacci numbers  . . . . . . . . . . . 553--558


Historia Mathematica
Volume 12, Number 3, August, 1985

                Parmanand Singh   The so-called Fibonacci numbers in
                                  Ancient and Medieval India . . . . . . . 229--244


Applied Numerical Mathematics: Transactions of IMACS
Volume 2, Number 1, February, 1986

               C. Brezinski and   
                    A. Lembarki   Acceleration of extended Fibonacci
                                  sequences  . . . . . . . . . . . . . . . 1--8


Journal of the Association for Computing Machinery
Volume 33, Number 1, January, 1986

                 Benny Chor and   
       Charles E. Leiserson and   
           Ronald L. Rivest and   
               James B. Shearer   An Application of Number Theory to the
                                  Organization of Raster-Graphics Memory   86--104


Journal of Number Theory
Volume 22, Number 2, February, 1986

                Jean Coquet and   
           Pascal Van Den Bosch   A summation formula involving Fibonacci
                                  digits . . . . . . . . . . . . . . . . . 139--146


Communications in Statistics: Theory and Methods
Volume 15, Number 3, 1986

                 C. Taillie and   
                    G. P. Patil   The Fibonacci distribution revisited . . 951--959


ACM SIG{}PLAN Notices
Volume 21, Number 5, May, 1986

                   J. F. Watson   Recursion: a choice between readability
                                  and execution speed  . . . . . . . . . . 82--90


IEEE Transactions on Information Theory
Volume 33, Number 2, March, 1987

         Alberto Apostolico and   
                 A. S. Fraenkel   Robust Transmission of Unbounded Strings
                                  Using Fibonacci Representations  . . . . 238--245


College Mathematics Journal
Volume 18, Number 4, September, 1987

                John Atkins and   
                   Robert Geist   Fibonacci Numbers and Computer
                                  Algorithms . . . . . . . . . . . . . . . 328--336


Information Processing Letters
Volume 24, Number 5, March 16, 1987

             M. D. Atkinson and   
                    H. W. Chang   Computing the number of mergings with
                                  constraints  . . . . . . . . . . . . . . 289--292


Journal of the Association for Computing Machinery
Volume 34, Number 1, January, 1987

                B. Chazelle and   
                   D. P. Dobkin   Intersection of Convex Objects in Two
                                  and Three Dimensions . . . . . . . . . . 1--27


Journal of the American Statistical Association
Volume 82, Number 398, June, 1987

             Bruce Jay Collings   Compound Random Number Generators  . . . 525--527


SIGCSE Bulletin (ACM Special Interest Group on Computer Science Education)
Volume 19, Number 3, September 1, 1987

                    Michael Cox   An alternative approach to recursive
                                  Fibonacci sequences  . . . . . . . . . . 38--40


Journal of Computational Chemistry
Volume 8, Number 7, October, 1987

                Sherif El-Basil   On color polynomials of Fibonacci graphs 956--959


Journal of the Association for Computing Machinery
Volume 34, Number 3, July, 1987

         Michael L. Fredman and   
            Robert Endre Tarjan   Fibonacci Heaps and Their Uses in
                                  Improved Network Optimization Algorithms 596--615


Information Processing Letters
Volume 25, Number 4, June 17, 1987

                David Gries and   
         Adriano Pascoletti and   
                    Luigi Sbriz   Horner's rule and the computation of
                                  linear recurrences . . . . . . . . . . . 237--240


ACM SIG{}PLAN Notices
Volume 22, Number 6, June, 1987

               K. Indermark and   
                     H. Klaeren   Compiling Fibonacci-like recursion . . . 101--108


IEEE Transactions on Computers
Volume C-36, Number 9, September, 1987

          Seiichi Nishihara and   
                 Hiroji Nishino   Binary Search Revisited: Another
                                  Advantage of Fibonacci Search  . . . . . 1132--1135


Mathematics of Computation
Volume 48, Number 177, January, 1987

                 H. C. Williams   Effective primality tests for some
                                  integers of the forms $ {A5}^n - 1 $ and
                                  $ {A7}^n - 1 $ . . . . . . . . . . . . . 385--403


SIAM Journal on Scientific and Statistical Computing
Volume 9, Number 5, September, 1988

                   N. S. Altman   Bit-wise behavior of random number
                                  generators . . . . . . . . . . . . . . . 941--949


Mathematics of Computation
Volume 50, Number 182, April, 1988

                      Anonymous   Table errata: \em The book of squares
                                  [Academic Press, Boston, Mass., 1987, MR
                                  88m:01021a] by L. P. Fibonacci . . . . . 654--654

Mathematics of Computation
Volume 50, Number 181, January, 1988

             John Brillhart and   
        Peter L. Montgomery and   
            Robert D. Silverman   Supplement to Tables of Fibonacci and
                                  Lucas Factorizations . . . . . . . . . . S1--S15
             John Brillhart and   
        Peter L. Montgomery and   
            Robert D. Silverman   Tables of Fibonacci and Lucas
                                  Factorizations . . . . . . . . . . . . . 251--260, S1--S15


IEEE Software
Volume 5, Number 1, January, 1988

               Mike Carlton and   
                  Peter Van Roy   Distributed Prolog System with and
                                  Parallelism  . . . . . . . . . . . . . . 43--51


Communications of the Association for Computing Machinery
Volume 31, Number 11, November, 1988

          James R. Driscoll and   
            Harold N. Gabow and   
             Ruth Shrairman and   
               Robert E. Tarjan   Relaxed Heaps: An Alternative to
                                  Fibonacci Heaps with Applications to
                                  Parallel Computation . . . . . . . . . . 1343--1354


Journal of Mathematical Chemistry
Volume 2, Number 1, February, 1988

                    S. El-Basil   Theory and computational applications of
                                  Fibonacci graphs . . . . . . . . . . . . 1--29


Mathematics of Computation
Volume 51, Number 183, July, 1988

                 P. Erd\Hos and   
                    P. Kiss and   
         A. Sárközy   A Lower Bound for the Counting Function
                                  of Lucas Pseudoprimes  . . . . . . . . . 315--323


Applied Mathematics Letters
Volume 1, Number 1, 1988

                Donald E. Knuth   Fibonacci multiplication . . . . . . . . 57--60


Canadian Mathematical Bulletin = Bulletin canadien de math{\'e}matiques
Volume 31, Number ??, 1988

                  R. A. MacLeod   Generalization of a result of E. Lucas   95--98


American Mathematical Monthly
Volume 95, Number 9, November, 1988

               Michael I. Rosen   Notes: a Proof of the Lucas--Lehmer Test 855--856


Theoretical Computer Science
Volume 61, Number 1, October, 1988

                     J. Shallit   A generalization of automatic sequences  1--16


Journal of Statistical Physics
Volume 51, Number 3--4, May, 1988

                 Craig A. Tracy   Universality class of a Fibonacci Ising
                                  model  . . . . . . . . . . . . . . . . . 481--490


Annals of the History of Computing
Volume 10, Number 4, October / December, 1988

                  Eric A. Weiss   Biographies: Oh, Pioneers! . . . . . . . 348--361


IEEE Transactions on Information Theory
Volume 35, Number 1, January, 1989

               Renato Capocelli   Comments and Additions to `Robust
                                  Transmission of Unbounded Strings Using
                                  Fibonacci Representations' . . . . . . . 191--193


Information Processing Letters
Volume 33, Number 2, November 10, 1989

            Kuo Liang Chung and   
              Wen Chin Chen and   
                Ferng-Ching Lin   Fast computation of periodic continued
                                  fractions  . . . . . . . . . . . . . . . 67--72


Information Processing Letters
Volume 32, Number 3, August 24, 1989

                  Paul Cull and   
              James L. Holloway   Computing Fibonacci numbers quickly  . . 143--149


Journal of Mathematical Chemistry
Volume 3, Number 1, January, 1989

            Sherif El-Basil and   
               Douglas J. Klein   Fibonacci numbers in the topological
                                  theory of benzenoid hydrocarbons and
                                  related graphs . . . . . . . . . . . . . 1--23


Information Processing Letters
Volume 32, Number 5, September 22, 1989

                 H. Everett and   
                       A. Gupta   Acyclic directed hypercubes may have
                                  exponential diameter . . . . . . . . . . 243--245


Journal of the Royal Statistical Society. Series D (The Statistician)
Volume 38, Number 4, 1989

                     C. T. Gray   Book Review: \booktitleApplications of
                                  Fibonacci Numbers, by A. N. Philippou;
                                  A. F. Horadam; G. E. Bergum  . . . . . . 308--308


Journal of the Association for Computing Machinery
Volume 36, Number 3, July, 1989

              Sanjiv Kapoor and   
             Edward M. Reingold   Optimum Lopsided Binary Trees  . . . . . 573--590


Lecture Notes in Mathematics
Volume 1398, 1989

               Jens L. Mennicke   On Fibonacci groups and some other
                                  groups . . . . . . . . . . . . . . . . . 117--123


Theoretical Computer Science
Volume 64, Number 1, April, 1989

              Marco Protasi and   
                Maurizio Talamo   On the number of arithmetical operations
                                  for finding Fibonacci numbers  . . . . . 119--124


Journal of Statistical Physics
Volume 56, Number 3--4, August, 1989

   András Sütö   Singular continuous spectrum on a Cantor
                                  set of zero Lebesgue measure for the
                                  Fibonacci Hamiltonian  . . . . . . . . . 525--531


Ecological Modelling
Volume 48, Number 1--2, October, 1989

          Ilias Mihail Vardavas   A Fibonacci search technique for model
                                  parameter selection  . . . . . . . . . . 65--81


SIAM Review
Volume 32, Number 2, June, 1990

             Stuart L. Anderson   Random Number Generators on Vector
                                  Supercomputers and Other Advanced
                                  Architectures  . . . . . . . . . . . . . 221--251


Bollettino di Storia delle Scienze Matematiche
Volume 10, Number 1, 1990

      Margherita Bartolozzi and   
               Raffaella Franci   The theory of proportions in abacus
                                  mathematics from Leonardo Pisano to Luca
                                  Pacioli  . . . . . . . . . . . . . . . . 3--28


American Mathematical Monthly
Volume 97, Number 3, March, 1990

       Richard C. Bollinger and   
            Charles L. Burchard   Lucas's Theorem and Some Related Results
                                  for Extended Pascal Triangles  . . . . . 198--204


Journal of Computational and Applied Mathematics
Volume 31, Number 1, July 24, 1990

                William F. Eddy   Random number generators for parallel
                                  processors . . . . . . . . . . . . . . . 63--71


American Mathematical Monthly
Volume 97, Number 9, November, 1990

                 M. J. Jamieson   Notes: Fibonacci Numbers and Aitken
                                  Sequences Revisited  . . . . . . . . . . 829--831


Mathematics Magazine
Volume 63, Number 1, February, 1990

                Donald E. Knuth   A Fibonacci-like sequence of composite
                                  numbers  . . . . . . . . . . . . . . . . 21--25


Computer Physics Communications
Volume 60, Number 3, October, 1990

           George Marsaglia and   
              B. Narasimhan and   
                     Arif Zaman   A random number generator for PC's . . . 345--349


Statistics & Probability Letters
Volume 9, Number 1, January, 1990

           George Marsaglia and   
                 Arif Zaman and   
                  Wai Wan Tsang   Toward a universal random number
                                  generator  . . . . . . . . . . . . . . . 35--39


Denshi Gijutsu Sogo Kenkyusho Iho\slash Bulletin of the Electrotechnical Laboratory
Volume 54, Number 8, 1990

                      T. Matsui   Object-oriented implementation of
                                  EusLisp  . . . . . . . . . . . . . . . . 18--40


Information Processing Letters
Volume 36, Number 1, October 1, 1990

                     Ke Qiu and   
                    Henk Meijer   A note on diameter of acyclic directed
                                  hypercubes . . . . . . . . . . . . . . . 51--52


ACM SIG{}PLAN Notices
Volume 25, Number 6, June, 1990

                   Vivek Sarkar   Instruction reordering for fork-join
                                  parallelism  . . . . . . . . . . . . . . 322--336


Dr. Dobb's Journal of Software Tools
Volume 16, Number 6, June, 1991

            Victor J. Duvanenko   Efficiently raising matrices to an
                                  integer power  . . . . . . . . . . . . . 86--87, 157


SIAM Journal on Applied Mathematics
Volume 51, Number 3, June, 1991

                  Colin Goodall   Eigenshape Analysis of a Cut-Grow
                                  Mapping for Triangles, and its
                                  Application to Phyllotaxis in Plants . . 775--798


Mathematics of Computation
Volume 57, Number 196, October, 1991

           Daniel M. Gordon and   
                 Carl Pomerance   The distribution of Lucas and elliptic
                                  pseudoprimes . . . . . . . . . . . . . . 825--838


Journal of Statistical Physics
Volume 65, Number 3--4, November, 1991

                  B. Iochum and   
                     D. Testard   Power law growth for the resistance in
                                  the Fibonacci model  . . . . . . . . . . 715--723


Sudhoffs Arch.
Volume 75, Number 2, 1991

               H. Lüneburg   Fibonaccis aufsteigende Kettenbrüche, ein
                                  elegantes Werkzeug mittelalterlicher
                                  Rechenkunst. (German) [Fibonacci's
                                  ascending continued fractions, an
                                  elegant tool of medieval arithmetic] . . 129--139


Mathematica Journal
Volume 1, Number 3, Winter, 1992

                Roman E. Maeder   The Mathematica Programmer: Fibonacci on
                                  the Fast Track . . . . . . . . . . . . . ??
           George Marsaglia and   
                     Arif Zaman   A new class of random number generators  462--480


Science News (Washington, DC)
Volume 140, Number 19, November 9, 1991

                 Ivars Peterson   Numbers at Random: Number theory
                                  supplies a superior random-number
                                  generator  . . . . . . . . . . . . . . . 300--301


Information Processing Letters
Volume 40, Number 4, November 25, 1991

                    Stefan Ronn   On the logarithmic evaluation of
                                  recurrence relations . . . . . . . . . . 197--199


Theoretical Computer Science
Volume 88, Number 2, October 07, 1991

                     P. Seebold   Fibonacci morphisms and Sturmian words   365--384


Lecture Notes in Mathematics
Volume 1509, 1992

        Alberto Cavicchioli and   
               Fulvia Spaggiari   The classification of $3$-manifolds with
                                  spines related to Fibonacci groups . . . 50--78


College Mathematics Journal
Volume 23, Number 5, November, 1992

               Elmer K. Hayashi   Fibonacci Numbers, Recursion,
                                  Complexity, and Induction Proofs . . . . 407--410


Parallel Processing Letters
Volume 2, Number 2-3, September, 1992

               Wen-Jing Hsu and   
                     C. V. Page   Embedding mesh in a large family of
                                  graphs . . . . . . . . . . . . . . . . . 149--155


Mathematica Journal
Volume 1, Number 3, Winter, 1992

                Roman E. Maeder   The Mathematica Programmer: Fibonacci on
                                  the Fast Track . . . . . . . . . . . . . ??


American Mathematical Monthly
Volume 99, Number 3, March, 1992

            Richard J. McIntosh   A Generalization of a Congruential
                                  Property of Lucas  . . . . . . . . . . . 231--238


Mathematica Journal
Volume 2, Number 3, Summer, 1992

                Clifford Reiter   Fast Fibonacci Numbers . . . . . . . . . ??


Chance
Volume 5, Number 1--2, Winter--Spring, 1992

                 Charles Safran   The Fibonacci Numbers  . . . . . . . . . 43--46


Communications in Statistics: Simulation and Computation
Volume 21, Number 4, 1992

                Peter C. Wollan   A portable random number generator for
                                  parallel computers . . . . . . . . . . . 1247--1254


Journal of Computational and Applied Mathematics
Volume 47, Number 3, September 30, 1993

                      Anonymous   Sixth International Conference on
                                  Fibonacci Numbers and Their Applications N9


American Mathematical Monthly
Volume 100, Number 4, April, 1993

                    J. W. Bruce   A Really Trivial Proof of the
                                  Lucas--Lehmer Test . . . . . . . . . . . 370--371


Journal of Number Theory
Volume 44, Number 3, July, 1993

                      M. Drmota   On Linear Diophantine Equations and
                                  Fibonacci Numbers  . . . . . . . . . . . 315--327


SIAM Journal on Computing
Volume 22, Number 4, August, 1993

        Arthur S. Goldstein and   
             Edward M. Reingold   A Fibonacci Version of Kraft's
                                  Inequality Applied to Discrete Unimodal
                                  Search . . . . . . . . . . . . . . . . . 751--777


Journal of Statistical Computation and Simulation
Volume 47, Number 1--2, 1993

                     I. J. Good   C399. Trigonometrical factorization of
                                  the Fibonacci and Lucas numbers, and
                                  sums of powers of cotangents . . . . . . 94--99


Mathematics of Computation
Volume 60, Number 202, April, 1993

           Daniel M. Gordon and   
                 Carl Pomerance   Corrigendum: ``The distribution of Lucas
                                  Pomerance and elliptic pseudoprimes''
                                  [Math. Comp. \bf 57 (1991), no. 196,
                                  825--838, MR 92h:11081]  . . . . . . . . 877--877


IEEE Transactions on Parallel and Distributed Systems
Volume 4, Number 1, January, 1993

                   Wen-Jing Hsu   Fibonacci Cubes: a new interconnection
                                  topology . . . . . . . . . . . . . . . . 3--12


Lecture Notes in Computer Science
Volume 718, 1993

                    R. Lidl and   
                   W. B. Muller   Primality testing with Lucas functions   539


Computers and Mathematics and Applications
Volume 26, Number 9, November, 1993

           George Marsaglia and   
                     Arif Zaman   Monkey Tests for Random Number
                                  Generators . . . . . . . . . . . . . . . 1--10


Mathematics of Computation
Volume 61, Number 203, July, 1993

               Joseph B. Muskat   Generalized Fibonacci and Lucas
                                  sequences and rootfinding methods  . . . 365--372


Journal of Mathematical Physics
Volume 34, Number 10, October, 1993

             Paolo Emilio Ricci   Sum rules for zeros of polynomials and
                                  generalized Lucas polynomials  . . . . . 4884--4891


Dr. Dobb's Journal of Software Tools
Volume 18, Number 1, January, 1993

                    Peter Smith   LUC Public-key Encryption: a Secure
                                  Alternative to RSA . . . . . . . . . . . 44, 46, 48--49, 90--92


ACM SIGACT News
Volume 24, Number 1, Winter, 1993

                  Kozo Sugiyama   Drawing compound digraphs and its
                                  application to an idea organizer
                                  (abstract) . . . . . . . . . . . . . . . 58


Lecture Notes in Mathematics
Volume 1550, 1993

                V. N. Temlyakov   Universality of the Fibonacci cubature
                                  formulas . . . . . . . . . . . . . . . . 178--184


Mathematics of Computation
Volume 60, Number 202, April, 1993

                 Shu Tezuka and   
               Masanori Fushimi   Calculation of Fibonacci polynomials for
                                  GFSR sequences with low discrepancies    763--770


ACM Transactions on Modeling and Computer Simulation
Volume 3, Number 4, October, 1993

                 Shu Tezuka and   
            Pierre L'Ecuyer and   
                Raymond Couture   On the lattice structure of the
                                  add-with-carry and subtract-with-borrow
                                  random number generators . . . . . . . . 315--331


arxiv.org
Volume ??, Number ??, June 8, 1993

             I. Vattulainen and   
                K. Kankaala and   
                J. Saarinen and   
                 T. Ala-Nissila   Influence of Implementation on the
                                  Properties of Pseudorandom Number
                                  Generators with a Carry Bit  . . . . . . ??


Lecture Notes in Computer Science
Volume 834, 1994

                D. Abuaiadh and   
                 J. H. Kingston   Are Fibonacci Heaps Optimal? . . . . . . 442


Mathematics of Computation
Volume 63, Number 207, July, 1994

               Richard P. Brent   On the periods of generalized Fibonacci
                                  recurrences  . . . . . . . . . . . . . . 389--401


Theoretical Computer Science
Volume 136, Number 2, December 29, 1994

               Aldo de Luca and   
                Filippo Mignosi   Some combinatorial properties of
                                  Sturmian words . . . . . . . . . . . . . 361--385


Journal of Statistical Computation and Simulation
Volume 49, Number 3--4, 1994

                     I. J. Good   C416. Fibonacci and Lucas numbers and
                                  trigonometry . . . . . . . . . . . . . . 237--237


College Mathematics Journal
Volume 25, Number 2, March, 1994

             Russell Jay Hendel   Approaches to the Formula for the $n$ th
                                  Fibonacci Number . . . . . . . . . . . . 139--142


Journal of Mathematical Physics
Volume 35, Number 2, February, 1994

                Kazumoto Iguchi   A class of new invariant surfaces under
                                  the trace maps for $n$ ary Fibonacci
                                  lattices . . . . . . . . . . . . . . . . 1008--1019


Information Processing Letters
Volume 51, Number 2, July 26, 1994

                Peter Kirrinnis   An optimal bound for path weights in
                                  Huffman trees  . . . . . . . . . . . . . 107--110


Annals of Operations Research
Volume 53, Number 1, 1994

                Pierre L'Ecuyer   Uniform random number generation . . . . 77--120


Parallel Computing
Volume 20, Number 9, September 12, 1994

                     Jun Makino   Lagged-Fibonacci random number
                                  generators on parallel computers . . . . 1357--1367


Journal of Computational and Applied Mathematics
Volume 51, Number 1, May 30, 1994

        Harald Niederreiter and   
                   Ian H. Sloan   Integration of nonperiodic functions of
                                  two variables by Fibonacci lattice rules 57--70


International Journal of High Speed Computing (IJHSC)
Volume 6, Number 3, 1994

                 W. P. Petersen   Lagged Fibonacci Series Random Number
                                  Generators for the NEC SX-3  . . . . . . 387


Computational Statistics & Data Analysis
Volume 17, Number 5, June, 1994

           Siegfried Schmerling   Book Review: \booktitleApplications of
                                  Fibonacci numbers --- volume 5: G. E.
                                  Bergum, A. N. Philippou, A. F. Horadam,
                                  eds. (1993): Dordrecht, Boston, London:
                                  Kluwer Academic Publishers, xxxiv + 625
                                  p., 35 Fig., 30 Tab., ISBN 0-7923-2491-9 603


Dr. Dobb's Journal of Software Tools
Volume 19, Number 4, April, 1994

                    Peter Smith   Cryptography without exponentiation  . . 26, 28, 30

Dr. Dobb's Journal of Software Tools
Volume 19, Number 1, January, 1994

                    Tom R. Swan   Algorithm Alley  . . . . . . . . . . . . 111


VLDB Journal: Very Large Data Bases
Volume 4, Number 3, July, 1995

             Antonio Albano and   
             Giorgio Ghelli and   
                   Renzo Orsini   Fibonacci: a Programming Language for
                                  Object Databases . . . . . . . . . . . . 403--444


Lecture Notes in Computer Science
Volume 1008, 1995

                    R. Anderson   On Fibonacci keystream generators  . . . 346


Lecture Notes in Computer Science
Volume 964, 1995

                 A. V. Anisimov   Linear Fibonacci Forms and Parallel
                                  Algorithms for High Dimension Arithmetic 16


Scientific American
Volume 272, Number 5, May, 1995

                      Anonymous   Fibonacci Forgeries  . . . . . . . . . . 82

Scientific American
Volume 272, Number 1, January, 1995

                      Anonymous   Mathematical Recreations . . . . . . . . 96


Journal of Symbolic Computation
Volume 20, Number 2, August, 1995

        François Arnault   Constructing Carmichael Numbers Which
                                  are Strong Pseudoprimes to Several Bases 151--162 (or 151--161??)


Lecture Notes in Computer Science
Volume 963, 1995

      Daniel Bleichenbacher and   
                 Wieb Bosma and   
               Arjen K. Lenstra   Some Remarks on Lucas-Based
                                  Cryptosystems  . . . . . . . . . . . . . 386--396


Information Processing Letters
Volume 54, Number 6, June 23, 1995

                   Aldo de Luca   A division property of the Fibonacci
                                  word . . . . . . . . . . . . . . . . . . 307--312


Information Processing Letters
Volume 55, Number 4, August 25, 1995

                 Xavier Droubay   Palindromes in the Fibonacci word  . . . 217--221


International Statistical Review = Revue Internationale de Statistique
Volume 63, Number 2, August, 1995

Jürgen Eichenauer-Herrmann   Pseudorandom Number Generation by
                                  Nonlinear Methods  . . . . . . . . . . . 247--255


Experimental Mathematics
Volume 4, Number 2, 1995

                  Derek F. Holt   An alternative proof that the Fibonacci
                                  group $ F(2, 9) $ is infinite  . . . . . 97--100


Information Processing Letters
Volume 53, Number 5, March 10, 1995

              Chi Sung Laih and   
                 Fu Kuan Tu and   
                  Wen Chung Tai   On the security of the Lucas function    243--247


SIGCSE Bulletin (ACM Special Interest Group on Computer Science Education)
Volume 27, Number 2, June, 1995

Óscar Martín-Sánchez and   
 Cristóbal Pareja-Flores   A gentle introduction to algorithm
                                  complexity for CS1 with nine variations
                                  on a theme by Fibonacci  . . . . . . . . 49--56


Journal of Computational Physics
Volume 119, Number 2, July, 1995

           Michael Mascagni and   
          Steven A. Cuccaro and   
            Daniel V. Pryor and   
                 M. L. Robinson   A Fast, High Quality, and Reproducible
                                  Parallel Lagged-Fibonacci Pseudorandom
                                  Number Generator . . . . . . . . . . . . 211--219


Parallel Computing
Volume 21, Number 3, March 10, 1995

                Pontus Matstoms   Parallel sparse $ Q R $ factorization on
                                  shared memory architectures  . . . . . . 473--486


American Mathematical Monthly
Volume 102, Number 8, October, 1995

                   H. R. Morton   Fibonacci-like sequences and greatest
                                  common divisors  . . . . . . . . . . . . 731--734


ACM Transactions on Modeling and Computer Simulation
Volume 5, Number 2, April, 1995

              Ora E. Percus and   
              Paula A. Whitlock   Theory and application of Marsaglia's
                                  monkey test for pseudorandom number
                                  generators . . . . . . . . . . . . . . . 87--100


American Mathematical Monthly
Volume 102, Number 7, August / September, 1995

                 David L. Ranum   On some applications of Fibonacci
                                  numbers  . . . . . . . . . . . . . . . . 640--645


Lecture Notes in Computer Science
Volume 917, 1995

                   P. Smith and   
                     C. Skinner   A public-key cryptosystem and a digital
                                  signature system based on the Lucas
                                  function analogue to discrete logarithms 357
                   P. Smith and   
                     C. Skinner   A public-key cryptosystem and a digital
                                  signature system based on the Lucas
                                  function analogue to discrete logarithms 357


Scientific American
Volume 272, Number 5, May, 1995

                    Ian Stewart   Mathematical Recreations: Fibonacci
                                  Forgeries  . . . . . . . . . . . . . . . 102--105


Mathematics of Computation
Volume 64, Number 210, April, 1995

                Paul M. Voutier   Primitive divisors of Lucas and Lehmer
                                  sequences  . . . . . . . . . . . . . . . 869--888


ACM Transactions on Programming Languages and Systems
Volume 17, Number 2, March, 1995

                    Adam Webber   Optimization of Functional Programs by
                                  Grammar Thinning . . . . . . . . . . . . 293--330


Computers and Mathematics and Applications
Volume 29, Number 12, June, 1995

                      S. Y. Yan   Primality testing of large numbers in
                                  Maple  . . . . . . . . . . . . . . . . . 1--8


Theoretical Computer Science
Volume 165, Number 2, October 10, 1996

   Valérie Berthé   Frequences des facteurs des suites
                                  sturmiennes. (French) [Frequencies of
                                  factors of Sturmian series]  . . . . . . 295--309


IEEE Parallel and Distributed Technology: Systems and Applications
Volume 4, Number 3, Fall, 1996

        Peter Kok Keong Loh and   
               Wen Jing Hsu and   
                Cai Wentong and   
          Nadarajah Sriskanthan   How Network Topology Affects Dynamic
                                  Load Balancing . . . . . . . . . . . . . 25--35


Information Processing Letters
Volume 59, Number 5, September 9, 1996

        Wojciech Plandowski and   
            Wojciech Rytter and   
                Tomasz Szymacha   Parallel tree-contraction and Fibonacci
                                  numbers  . . . . . . . . . . . . . . . . 267--271


The Computer Journal
Volume 39, Number 4, 1996

               Haifeng Qian and   
                         Jie Wu   Enhanced Fibonacci Cubes . . . . . . . . 331--345


Journal of Mathematical Chemistry
Volume 20, Number 1, March, 1996

             Milan Randi\'c and   
          Daniel A. Morales and   
                 Oswaldo Araujo   Higher-order Fibonacci numbers . . . . . 79--94


College Mathematics Journal
Volume 27, Number 2, March, 1996

                     Jack Ryder   Exploring Fibonacci Numbers Mod $M$  . . 122--124


Information Processing Letters
Volume 57, Number 5, March 11, 1996

                  Luca Trevisan   A note on minimum-area upward drawing of
                                  complete and Fibonacci trees . . . . . . 231--236
                    L. Trevisan   A note on minimum-area upward drawing of
                                  complete and Fibonacci trees . . . . . . 231


Journal of Statistical Planning and Inference
Volume 54, Number 1, September, 1996

               Doron Zeilberger   Self-avoiding walks, the language of
                                  science, and Fibonacci numbers . . . . . 135--138


Journal of Parallel and Distributed Computing
Volume 45, Number 1, August 25, 1997

                 Srinivas Aluru   Lagged Fibonacci Random Number
                                  Generators for Distributed Memory
                                  Parallel Computers . . . . . . . . . . . 1--12


Mathematics of Computation
Volume 66, Number 218, April, 1997

                     F. Arnault   The Rabin--Monier theorem for Lucas
                                  pseudoprimes . . . . . . . . . . . . . . 869--881


Dr. Dobb's Journal of Software Tools
Volume 22, Number 1, January, 1997

                     John Boyer   Algorithm Alley --- Heaps are usually
                                  implemented via binary trees, with the
                                  property that for every subtree, the
                                  root is the minimum item. Here, John
                                  describes how to implement exceptionally
                                  fast `Fibonacci' heaps . . . . . . . . . 106


Theoretical Computer Science
Volume 178, Number 1--2, May 30, 1997

                   Aldo de Luca   Standard Sturmian morphisms  . . . . . . 205--224


College Mathematics Journal
Volume 28, Number 2, March, 1997

           Dale K. Hathaway and   
               Stephen L. Brown   Fibonacci Powers and a Fascinating
                                  Triangle . . . . . . . . . . . . . . . . 124--128


IEEE Transactions on Parallel and Distributed Systems
Volume 8, Number 7, July, 1997

               Wen-Jing Hsu and   
            Moon Jung Chung and   
                   Amitabha Das   Linear Recursive Networks and Their
                                  Applications in Distributed Systems  . . 673--680


Theoretical Computer Science
Volume 172, Number 1--2, February 10, 1997

       Costas S. Iliopoulos and   
               Dennis Moore and   
                    W. F. Smyth   A characterization of the squares in a
                                  Fibonacci string . . . . . . . . . . . . 281--291


Dr. Dobb's Journal of Software Tools
Volume 22, Number 9, September, 1997

                    Bob Jenkins   Algorithm Alley: Hash Functions  . . . . 107--109, 115--116


IEEE Transactions on Parallel and Distributed Systems
Volume 8, Number 7, July, 1997

             Feng-Shr Jiang and   
             Shi-Jinn Horng and   
                 Tzong-Wann Kao   Embedding of Generalized Fibonacci Cubes
                                  in Hypercubes with Faulty Nodes  . . . . 727--737


Lecture Notes in Computer Science
Volume 1189, 1997

                  Marc Joye and   
        Jean-Jacques Quisquater   Protocol Failures for RSA-Like Functions
                                  Using Lucas Sequences and Elliptic
                                  Curves . . . . . . . . . . . . . . . . . 93--100


Linear Algebra and its Applications
Volume 251, Number 1--3, January 15, 1997

                  G.-Y. Lee and   
                  S.-G. Lee and   
                     H.-G. Shin   On the $K$-Generalized Fibonacci Matrix
                                  $ Q^*_k $  . . . . . . . . . . . . . . . 73--88


International Journal of Computer Systems Science and Engineering
Volume 12, Number 6, November, 1997

            Peter K. K. Loh and   
                   Hsu Wen Jing   Dynamic load balancing on multiprocessor
                                  networks . . . . . . . . . . . . . . . . 369--372


International Journal of Quantum Chemistry
Volume 63, Number 4, 1997

             Jayanta Sarkar and   
             Manas Banerjee and   
              Asok K. Mukherjee   Lucas Sequences and Fibonacci Triads of
                                  Graphs in PMO Calculation on the
                                  Charge-Transfer Bands of a Series of EDA
                                  Complexes: Correlation with Experimental
                                  and AM1 Results  . . . . . . . . . . . . 817--825


IEEE Transactions on Parallel and Distributed Systems
Volume 8, Number 12, December, 1997

                         Jie Wu   Extended Fibonacci Cubes . . . . . . . . 1203--1210


Dr. Dobb's Journal of Software Tools
Volume 23, Number 1, January, 1998

                     John Boyer   Algorithm Alley: Resizable Data
                                  Structures . . . . . . . . . . . . . . . 115--116, 118, 129


Mathematica Journal
Volume 8, Number 2, 1998

                Erik Jensen and   
                   Ronald Rusay   Musical Representations of the Fibonacci
                                  String and Proteins  . . . . . . . . . . ??


Archive for History of Exact Sciences
Volume 52, Number 2, February, 1998

               M. T. Rivolo and   
                        A. Simi   Il Calcolo delle Radici Quadrate e
                                  Cubiche in Italia da Fibonacci a
                                  Bombelli. (Italian) [The calculation of
                                  square and cube roots in Italy from
                                  Fibonacci to Bombelli] . . . . . . . . . 161--193


Theoretical Computer Science
Volume 195, Number 1, March 20, 1998

  Patrice Séébold   On the conjugation of standard morphisms 91--109


College Mathematics Journal
Volume 30, Number 5, November, 1999

         Arthur T. Benjamin and   
              Jennifer J. Quinn   Recounting Fibonacci and Lucas
                                  Identities . . . . . . . . . . . . . . . 359--366


American Mathematical Monthly
Volume 106, Number 4, April, 1999

              Robert L. Devaney   The Mandelbrot set, the Farey tree, and
                                  the Fibonacci sequence . . . . . . . . . 289--302


Mathematics of Computation
Volume 68, Number 225, January, 1999

              Harvey Dubner and   
                 Wilfrid Keller   New Fibonacci and Lucas primes . . . . . 417--427


Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences
Volume 455, Number 1987, July 8, 1999

                Mark Embree and   
             Lloyd N. Trefethen   Growth and decay of random Fibonacci
                                  sequences  . . . . . . . . . . . . . . . 2471--2485


Theoretical Computer Science
Volume 218, Number 1, April 28, 1999

        Aviezri S. Fraenkel and   
                  Jamie Simpson   The exact number of squares in Fibonacci
                                  words  . . . . . . . . . . . . . . . . . 95--106


Science News (Washington, DC)
Volume 155, Number 24, June 12, 1999

                 Ivars Peterson   Fibonacci at Random: Uncovering a new
                                  mathematical constant  . . . . . . . . . 376--377


SIGCSE Bulletin (ACM Special Interest Group on Computer Science Education)
Volume 31, Number 2, June, 1999

              John S. Robertson   How many recursive calls does a
                                  recursive function make? . . . . . . . . 60--61


IEEE Transactions on Parallel and Distributed Systems
Volume 10, Number 7, July, 1999

                     V. Scarano   On the Sizes of Extended Fibonacci Cubes 764


Computers and Mathematics and Applications
Volume 38, Number 11--12, December, 1999

              Ching-Te Wang and   
            Chin-Chen Chang and   
                  Chu-Hsing Lin   A method for computing Lucas sequences   187--196


Dianzi Keji Daxue Xuebao
Volume 28, Number 4, 1999

              Jin Tao Xiong and   
               Hong Xiu Liu and   
                    De Zhong Pi   The Lucas public-key cryptosystem and
                                  its security . . . . . . . . . . . . . . 397--401


Theoretical Computer Science
Volume 237, Number 1--2, April 28, 2000

         Alberto Apostolico and   
            Valentin E. Brimkov   Fibonacci arrays and their
                                  two-dimensional repetitions  . . . . . . 263--273


Linear Algebra and its Applications
Volume 320, Number 1--3, November 15, 2000

                 Gwang-Yeon Lee   $k$-Lucas numbers and associated
                                  bipartite graphs . . . . . . . . . . . . 51--61


ACM Transactions on Mathematical Software
Volume 26, Number 3, September, 2000

           Michael Mascagni and   
               Ashok Srinivasan   Algorithm 806: SPRNG: a scalable library
                                  for pseudorandom number generation . . . 436--461

ACM Transactions on Mathematical Software
Volume 26, Number 4, December, 2000

           Michael Mascagni and   
               Ashok Srinivasan   Corrigendum: Algorithm 806: SPRNG: a
                                  scalable library for pseudorandom number
                                  generation . . . . . . . . . . . . . . . 618--619


SIGCSE Bulletin (ACM Special Interest Group on Computer Science Education)
Volume 32, Number 4, December, 2000

               Amos O. Olagunju   The role of scientific discovery in
                                  teaching and learning of computer
                                  science  . . . . . . . . . . . . . . . . 28--31


Historia Mathematica
Volume 27, Number 4, 2000

             Maryvonne Spiesser   Probl\`emes linéaires dans le
                                  \booktitleCompendy de la praticque des
                                  nombres de Barthélemy de Romans et
                                  Mathieu Préhoude (1471): une approche
                                  nouvelle basée sur des sources proches du
                                  \booktitleLiber abbaci de Léonard de
                                  Pise. (French) [Linear problems in the
                                  \booktitleCompendium of the number
                                  practice by Barthélemy de Romans and
                                  Mathieu Préhoude (1471): an new approach
                                  based on sources near \booktitleLiber
                                  abbaci of Leonardo of Pisa]  . . . . . . 362--383
             Maryvonne Spiesser   Probl\`emes linéaires dans le
                                  \booktitleCompendy de la praticque des
                                  nombres de Barthélemy de Romans et
                                  Mathieu Préhoude (1471): une approche
                                  nouvelle basée sur des sources proches du
                                  \booktitleLiber abbaci de Léonard de
                                  Pise. (French) [Linear problems in the
                                  \booktitleCompendium of the number
                                  practice by Barthélemy de Romans and
                                  Mathieu Préhoude (1471): an new approach
                                  based on sources near \booktitleLiber
                                  abbaci of Leonardo of Pisa]  . . . . . . 362--383


Lecture Notes in Computer Science
Volume 1851, 2000

            Grzegorz Stachowiak   Fibonacci Correction Networks  . . . . . 535


Information Processing Letters
Volume 75, Number 6, November 30, 2000

              Daisuke Takahashi   A fast algorithm for computing large
                                  Fibonacci numbers  . . . . . . . . . . . 243--246


Mathematics of Computation
Volume 69, Number 231, July, 2000

              Divakar Viswanath   Random Fibonacci sequences and the
                                  number $ 1.13198824 \dots $  . . . . . . 1131--1155


Computers and Mathematics and Applications
Volume 39, Number 3--4, February, 2000

                   Guo-Jun Wang   Separable Boolean functions and
                                  generalized Fibonacci sequences  . . . . 205--216


Journal of Discrete Mathematical Sciences and Cryptography
Volume 4, Number 1, 2001

              Franco Eugeni and   
              Raffaele Mascella   A note on generalized Fibonacci numbers  33--45


American Mathematical Monthly
Volume 108, Number 10, December, 2001

               Peter J. Ferraro   Fibonacci Numbers and Powers: 10765  . . 978--979


IEEE Transactions on Computers
Volume 50, Number 5, May, 2001

                    A. Shum and   
        P. M. Melliar-Smith and   
                    L. E. Moser   Design and evaluation of the Fibonacci
                                  optical ATM switch . . . . . . . . . . . 466--481


College Mathematics Journal
Volume 33, Number 3, May, 2002

           Nathan D. Cahill and   
           John R. D'Errico and   
          Darren A. Narayan and   
                Jack Y. Narayan   Fibonacci Determinants . . . . . . . . . 221--225


Bollettino della Unione matematica italiana. A.
Volume 5, Number 2, 2002

               Raffaella Franci   The \booktitleLiber abaci of Leonardo
                                  Fibonacci, 1202--2002  . . . . . . . . . 293--328


SIGCSE Bulletin (ACM Special Interest Group on Computer Science Education)
Volume 34, Number 1, March, 2002

                    David Ginat   Aha! an illuminating perspective . . . . 1--2


American Mathematical Monthly
Volume 109, Number 7, August / September, 2002

                 M. J. Jamieson   Fibonacci Numbers and Cotangent
                                  Sequences  . . . . . . . . . . . . . . . 655--657


ACM SIGMETRICS Performance Evaluation Review
Volume 30, Number 1, June, 2002

         Gokul B. Kandiraju and   
          Anand Sivasubramaniam   Characterizing the $d$-TLB behavior of
                                  SPEC CPU2000 benchmarks  . . . . . . . . 129--139


SIAM Journal on Computing
Volume 31, Number 6, December, 2002

                    Martin Kutz   Lower Bounds for Lucas Chains  . . . . . 1896--1908


American Mathematical Monthly
Volume 109, Number 1, January, 2002

             Nick MacKinnon and   
         Stephen M. Gagola, Jr.   Fibonacci Twin Primes: 10844 . . . . . . 78--78


Journal of Statistical Software
Volume 7, Number 3, 2002

           George Marsaglia and   
                  Wai Wan Tsang   Some Difficult-to-Pass Tests of
                                  Randomness . . . . . . . . . . . . . . . 1--8


American Mathematical Monthly
Volume 109, Number 8, October, 2002

                Carl Miller and   
                Donald E. Knuth   A Fibonacci--Lucas Extremum: 10825 . . . 762--763


S{\=u}rikaisekikenky{\=u}sho K{\=o}ky{\=u}roku
Papers beginning 2002

                    Nobuo Miura   Leonardo of Pisa and cubic equations . . 37--47


Historia Mathematica
Volume 29, Number 2, May, 2002

              Corinna Rossi and   
            Christopher A. Tout   Were the Fibonacci Series and the Golden
                                  Section Known in Ancient Egypt?  . . . . 101--113


Bollettino di Storia delle Scienze Matematiche
Volume 23, Number 2, 2003

             Djamil Aissani and   
             Dominique Valerian   Mathématiques, commerce et société \`a
                                  Béja\"\ia (Bugia) au moment du séjour de
                                  Leonardo Fibonacci XII$^{\rm
                                  e}$--XIII$^{\rm e}$ si\`ecles  . . . . . 9--31 (2005)


Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques
Volume 55, Number ??, 2003

              Kevin A. Broughan   Adic Topologies for the Rational
                                  Integers . . . . . . . . . . . . . . . . 711--723


ArXiv e-prints
Papers beginning 2003

                Enrique Canessa   Theory of Analogous Force on Number Sets 


Physica A, Statistical Mechanics and its Applications
Volume 328, Number 1--2, October, 2003

                Enrique Canessa   Theory of analogous force on number sets 44--52


Applied Mathematics and Computation
Volume 136, Number 2--3, March 15, 2003

             Ramazan Dikici and   
               Engin Özkan   An application of Fibonacci sequences in
                                  groups . . . . . . . . . . . . . . . . . 323--331


Bollettino di Storia delle Scienze Matematiche
Volume 23, Number 2, Leonardo Fibonacci. Matematica e societa nel Mediterraneo nel secolo XIII. Vol. I, 2003

               Raffaella Franci   Leonardo Fibonacci and treatises on the
                                  abacus in Italy in the fourteenth and
                                  fifteenth centuries  . . . . . . . . . . 33--54 (2005)


Applied Mathematics and Computation
Volume 141, Number 2--3, September 5, 2003

            Erdal Karaduman and   
      Hüseyin Aydìn   General $2$-step Fibonacci sequences in
                                  nilpotent groups of exponent $p$ and
                                  nilpotency class $4$ . . . . . . . . . . 491--497


Applied Mathematics and Computation
Volume 142, Number 2--3, October 10, 2003

            Erdal Karaduman and   
                   U\ugur Yavuz   On the period of Fibonacci sequences in
                                  nilpotent groups . . . . . . . . . . . . 321--332


Linear Algebra and its Applications
Volume 373, Number 1, November 1, 2003

             Gwang-Yeon Lee and   
                    Jin-Soo Kim   The linear algebra of the $k$-Fibonacci
                                  matrix . . . . . . . . . . . . . . . . . 75--87


J.UCS: The Journal of Universal Computer Science
Volume 9, Number 5, May 28, 2003

             M. Margenstern and   
                     G. Skordev   Fibonacci Type Coding for the Regular
                                  Rectangular Tilings of the Hyperbolic
                                  Plane  . . . . . . . . . . . . . . . . . 398--422


Internet Mathematics
Volume 1, Number 2, December, 2003

           Michael Mitzenmacher   A Brief History of Generative Models for
                                  Power Law and Lognormal Distributions    226--251


Applied Mathematics and Computation
Volume 141, Number 2--3, September 5, 2003

           Engin Özkan and   
  Hüseyin Aydìn and   
                 Ramazan Dikici   Applications of Fibonacci sequences in a
                                  finite nilpotent group . . . . . . . . . 565--578


Applied Mathematics and Computation
Volume 143, Number 1, October 20, 2003

           Engin Özkan and   
  Hüseyin Aydìn and   
                 Ramazan Dikici   $3$-Step Fibonacci series modulo $m$ . . 165--172


Applied Mathematics and Computation
Volume 144, Number 2--3, December 10, 2003

               Engin Özkan   $3$-Step Fibonacci sequences in
                                  nilpotent groups . . . . . . . . . . . . 517--527


Bollettino di Storia delle Scienze Matematiche
Volume 23, Number 2, 2003

                     Luigi Pepe   Leonardo Fibonacci in the eighteenth
                                  century  . . . . . . . . . . . . . . . . 75--86 (2005)


SIGCSE Bulletin (ACM Special Interest Group on Computer Science Education)
Volume 35, Number 2, June, 2003

               Timothy J. Rolfe   Spreadsheet-aided numerical
                                  experimentation: analytic formula for
                                  Fibonacci numbers  . . . . . . . . . . . 117--119


Linear Algebra and its Applications
Volume 370, Number 1, September 1, 2003

            Rajae Ben Taher and   
               Mustapha Rachidi   On the matrix powers and exponential by
                                  the $r$-generalized Fibonacci sequences
                                  methods: the companion matrix case . . . 341--353


Applied Mathematics and Computation
Volume 143, Number 2--3, November 10, 2003

       Bünyamin Yildiz and   
                Erdal Karaduman   On Fibonacci search method with
                                  $k$-Lucas numbers  . . . . . . . . . . . 523--531


American Mathematical Monthly
Volume 111, Number 10, December, 2004

                      Anonymous   Errata for 2004: Fibonacci in Complex
                                  Camouflage: 10858  . . . . . . . . . . . 922--922


Automation and Remote Control
Volume 65, Number 6, June, 2004

               J. T. Astola and   
              K. Egiazarian and   
             M. Stankovi\'c and   
              R. S. Stankovi\'c   Fibonacci Arithmetic Expressions . . . . 842--856


Mathematics of Computation
Volume 73, Number 247, July, 2004

         Pedro Berrizbeitia and   
                    T. G. Berry   Biquadratic reciprocity and a Lucasian
                                  primality test . . . . . . . . . . . . . 1559--1564


Theoretical Computer Science
Volume 326, Number 1--3, October 20, 2004

               Marcia Edson and   
                Luca Q. Zamboni   On representations of positive integers
                                  in the Fibonacci base  . . . . . . . . . 241--260


Bollettino di Storia delle Scienze Matematiche
Volume 24, Number 1, 2004

                 Menso Folkerts   Leonardo Fibonacci's knowledge of
                                  Euclid's \booktitleElements and of other
                                  mathematical texts . . . . . . . . . . . 93--113 (2005)


Information Processing Letters
Volume 89, Number 4, February 28, 2004

                  L. F. Johnson   Tumble, a fast simple iteration
                                  algorithm for Fibonacci  . . . . . . . . 187--189


Applied Mathematics and Computation
Volume 147, Number 3, January 16, 2004

                Erdal Karaduman   An application of Fibonacci numbers in
                                  matrices . . . . . . . . . . . . . . . . 903--908


American Mathematical Monthly
Volume 111, Number 2, February, 2004

            Donald E. Knuth and   
                  Robin Chapman   Fibonacci in Complex Camouflage: 10858   166--167


Parallel Computing
Volume 30, Number 7, July, 2004

           Michael Mascagni and   
               Ashok Srinivasan   Parameterizing parallel multiplicative
                                  lagged-Fibonacci generators  . . . . . . 899--916


Computers and Graphics
Volume 28, Number 2, April, 2004

             Clifford A. Reiter   Views of Fibonacci dynamics  . . . . . . 297--300


Applied Mathematics and Computation
Volume 147, Number 3, January 16, 2004

               Murat Subasi and   
         Necmettin Yildirim and   
           Bünyamin Yildiz   An improvement on Fibonacci search
                                  method in optimization theory  . . . . . 893--901


Applied Mathematics and Computation
Volume 155, Number 3, August 16, 2004

               Dursun Tasci and   
                    Emrah Kilic   On the order-$k$ generalized Lucas
                                  numbers  . . . . . . . . . . . . . . . . 637--641


American Mathematical Monthly
Volume 112, Number 7, August / September, 2005

               Dov Aharonov and   
               Alan Beardon and   
                   Kathy Driver   Fibonacci, Chebyshev, and Orthogonal
                                  Polynomials  . . . . . . . . . . . . . . 612--630


Journal of Statistical Planning and Inference
Volume 135, Number 1, November, 2005

   Demetrios L. Antzoulakos and   
              Markos V. Koutras   On a class of polynomials related to
                                  classical orthogonal and Fibonacci
                                  polynomials with probability
                                  applications . . . . . . . . . . . . . . 18--39


Theoretical Computer Science
Volume 346, Number 2--3, November 28, 2005

             Jean-Luc Baril and   
             Vincent Vajnovszki   Minimal change list for Lucas strings
                                  and some graph theoretic consequences    189--199


Theoretical Computer Science
Volume 337, Number 1--3, June 9, 2005

                   H. Bruin and   
                     O. Volkova   The complexity of Fibonacci-like
                                  kneading sequences . . . . . . . . . . . 379--389


SIAM Journal on Discrete Mathematics
Volume 18, Number 4, 2005

           Joseph Callaghan and   
           John J. Chew III and   
               Stephen M. Tanny   On the Behavior of a Family of
                                  Meta-Fibonacci Sequences . . . . . . . . 794--824


Linear Algebra and its Applications
Volume 395, Number 1, January 15, 2005

            Gyoung-Sik Choi and   
             Suk-Geun Hwang and   
                 Ik-Pyo Kim and   
                Bryan L. Shader   $ (\pm 1) $-Invariant sequences and
                                  truncated Fibonacci sequences  . . . . . 303--312


Theoretical Computer Science
Volume 349, Number 3, December 16, 2005

             Wai-Fong Chuan and   
                    Hui-Ling Ho   Locating factors of the infinite
                                  Fibonacci word . . . . . . . . . . . . . 429--442


Revue d'Histoire des Math{\'e}matiques = Journal for the History of Mathematics
Volume 11, Number 1, 2005

             Jens Hòyrup   Leonardo Fibonacci and \it Abbaco
                                  culture. A proposal to invert the roles  23--56


Applied Mathematics and Computation
Volume 162, Number 3, March 25, 2005

                     Emin Kahya   Comment on titled ``On Fibonacci search
                                  method with $k$-Lucas numbers''  . . . . 1321--1324


Applied Mathematics and Computation
Volume 167, Number 1, August 5, 2005

                Erdal Karaduman   On determinants of matrices with general
                                  Fibonacci numbers entries  . . . . . . . 670--676


SIGCSE Bulletin (ACM Special Interest Group on Computer Science Education)
Volume 37, Number 2, June, 2005

            Yannis Manolopoulos   On the number of recursive calls of
                                  recursive functions  . . . . . . . . . . 61--64


Journal of Statistical Physics
Volume 121, Number 5--6, December, 2005

             Alan C. Newell and   
             Patrick D. Shipman   Plants and Fibonacci . . . . . . . . . . 937--968


Applied Mathematics and Computation
Volume 170, Number 1, November 1, 2005

        Ahmet Ali Öcal and   
                 Naim Tuglu and   
              Ercan Altini\csik   On the representation of $k$-generalized
                                  Fibonacci and Lucas numbers  . . . . . . 584--596


Applied Mathematics and Computation
Volume 160, Number 1, January 5, 2005

            Süleyman Solak   On the norms of circulant matrices with
                                  the Fibonacci and Lucas numbers  . . . . 125--132


Applied Mathematics and Computation
Volume 173, Number 2, February 15, 2006

                     Emin Kahya   Comment on titled ``An improvement on
                                  Fibonacci search method in optimization
                                  theory'' . . . . . . . . . . . . . . . . 753--756


Journal of Number Theory
Volume 121, Number 1, November, 2006

               Eran Makover and   
                Jeffrey McGowan   An elementary proof that random
                                  Fibonacci sequences grow exponentially   40--44


Theoretical Computer Science
Volume 363, Number 2, October 28, 2006

                Wojciech Rytter   The structure of subword graphs and
                                  suffix trees of Fibonacci words  . . . . 211--223


College Mathematics Journal
Volume 37, Number 4, September, 2006

              Michael Z. Spivey   Fibonacci Identities via the Determinant
                                  Sum Property . . . . . . . . . . . . . . 286--289


Electronic Journal of Linear Algebra
Volume 15, Number 1, 2006

               R. Ben Taher and   
                 M. Mouline and   
               Mustapha Rachidi   Fibonacci--Horner decomposition of the
                                  matrix exponential and the fundamental
                                  system of solutions  . . . . . . . . . . 178--190


Designs, Codes, and Cryptography
Volume 45, Number 3, December, 2007

       Nevine Maurice Ebeid and   
                 M. Anwar Hasan   On $ \tau $-adic representations of
                                  integers . . . . . . . . . . . . . . . . 271--296


Applied Economics Letters
Volume 14, Number 3, 2007

                    D. E. Giles   Benford's Law and naturally occurring
                                  prices in certain eBay auctions  . . . . 157--161


Historia Mathematica
Volume 34, Number 3, August, 2007

                    John Hannah   False position in Leonardo of Pisa's
                                  \booktitleLiber abbaci . . . . . . . . . 306--332


Journal of Computational and Applied Mathematics
Volume 209, Number 2, December 15, 2007

                    Emrah Kilic   The generalized order-$k$
                                  Fibonacci--Pell sequence by matrix
                                  methods  . . . . . . . . . . . . . . . . 133--145


Applied Mathematics and Computation
Volume 194, Number 2, December 15, 2007

                   Harris Kwong   Two determinants with Fibonacci and
                                  Lucas entries  . . . . . . . . . . . . . 568--571


Mathematics of Computation
Volume 76, Number 260, October, 2007

        Richard J. McIntosh and   
               Eric L. Roettger   A search for Fibonacci--Wieferich and
                                  Wolstenholme primes  . . . . . . . . . . 2087--2094


SIGCSE Bulletin (ACM Special Interest Group on Computer Science Education)
Volume 39, Number 3, September, 2007

Manuel Rubio-Sánchez and   
   Isidoro Hernán-Losada   Exploring recursion with Fibonacci
                                  numbers  . . . . . . . . . . . . . . . . 359--359


Applied Mathematics and Computation
Volume 190, Number 2, July 15, 2007

            Süleyman Solak   Erratum to ``On the norms of circulant
                                  matrices with the Fibonacci and Lucas
                                  numbers'' [Appl. Math. Comput. 160
                                  (2005) 125--132] . . . . . . . . . . . . 1855--1856


Applied Mathematics and Computation
Volume 188, Number 1, May 1, 2007

          Murat Suba\csì   Reply to the Comment of E. Kahya on ``An
                                  improvement on Fibonacci search method
                                  in optimization theory'' by Murat
                                  Suba\csì, Necmettin Yildirim, Bünyamin
                                  Yildiz, [An improvement on Fibonacci
                                  search method in optimization theory,
                                  Applied Mathematics and Computation \bf
                                  147 (2004) 893--901] . . . . . . . . . . 1059--1060


Algorithmica
Volume 49, Number 2, October, 2007

           Andrej Taranenko and   
               Aleksander Vesel   Fast Recognition of Fibonacci Cubes  . . 81--93


Applied Mathematics and Computation
Volume 190, Number 1, July 1, 2007

                    K. Uslu and   
                   A. Nalli and   
                         M. Sen   Erratum to ``On the norms of circulant
                                  matrices with the Fibonacci and Lucas
                                  numbers'' [Appl. Math. Comput. 160 (1)
                                  (2005) 125--132] . . . . . . . . . . . . 997--998


Mathematics of Computation
Volume 77, Number 261, January, 2008

               Jonathan Bayless   The Lucas--Pratt primality tree  . . . . 495--502


College Mathematics Journal
Volume 39, Number 2, March, 2008

                 Ezra Brown and   
               Jason C. Brunson   Fibonacci's Forgotten Number . . . . . . 112--120


Journal of Mathematical Physics
Volume 49, Number 6, June, 2008

        Jens Christian Claussen   Time evolution of the rule $ 150 $
                                  cellular automaton activity from a
                                  Fibonacci iteration  . . . . . . . . . . 062701


Applied Mathematics and Computation
Volume 197, Number 1, March 15, 2008

                  Ali Demir and   
                  Nese Omur and   
            Yucel Turker Ulutas   Optimization by $k$-Lucas numbers  . . . 366--371


Applied Mathematics and Computation
Volume 198, Number 1, April 15, 2008

                  Ali Demir and   
                  Nese Omur and   
            Yucel Turker Ulutas   Parametrized Fibonacci search method
                                  with $k$-Lucas numbers . . . . . . . . . 355--360
                      Ali Demir   Trisection method by $k$-Lucas numbers   339--345


Applied Mathematics and Computation
Volume 206, Number 2, December 15, 2008

                  Ayhan Dil and   
           István Mez\Ho   A symmetric algorithm for hyperharmonic
                                  and Fibonacci numbers  . . . . . . . . . 942--951


Journal of Discrete Mathematical Sciences and Cryptography
Volume 11, Number 1, February, 2008

                 E. Foundas and   
                 Ch. Lytras and   
                    C. Patsakis   Improved algorithms for the calculation
                                  of Fibonacci numbers . . . . . . . . . . 113--120

Journal of Discrete Mathematical Sciences and Cryptography
Volume 11, Number 2, April, 2008

                 E. Foundas and   
                C. Patsakis and   
               G. Chondrocoukis   Lucas permutations and some notes on
                                  Fibonacci permutations . . . . . . . . . 181--190


Acta Math. Sinica (Chin. Ser.)
Volume 51, Number 4, 2008

                  Xu Dan Fu and   
                   Xia Zhou and   
                 Xiao Dong Zhao   Extensions of Lucas' congruence and
                                  Babbage's congruence . . . . . . . . . . 693--698


Applied Mathematics and Computation
Volume 200, Number 1, June 15, 2008

                   Xudan Fu and   
                       Xia Zhou   On matrices related with Fibonacci and
                                  Lucas numbers  . . . . . . . . . . . . . 96--100


Nuncius
Volume 23, Number 1, 2008

                Massimo Galuzzi   Book Review: Alfred S. Posamentier and
                                  Ingmar Lehmann, \booktitleThe (Fabulous)
                                  Fibonacci Numbers. New York: Prometheus
                                  Books, 2007. 385 pp., ISBN
                                  976-1-59102-475-0  . . . . . . . . . . . 188--189


Probability Theory and Related Fields
Volume 142, Number 3--4, November, 2008

     Élise Janvresse and   
          Beno\^\it Rittaud and   
              Thierry de la Rue   How do random Fibonacci sequences grow?  619--648


Journal of Discrete Mathematical Sciences and Cryptography
Volume 11, Number 2, April, 2008

                  A. Juarna and   
                  V. Vajnovszki   Combinatorial isomorphism between
                                  Fibonacci classes  . . . . . . . . . . . 147--158


ACM Transactions on Algorithms
Volume 4, Number 1, March, 2008

                Haim Kaplan and   
            Robert Endre Tarjan   Thin heaps, thick heaps  . . . . . . . . 3:1--3:??


ACM Communications in Computer Algebra
Volume 42, Number 1--2, mar # / # jun, 2008

              Michael A. Kelsey   Dethroning Fibonacci Sequence (abstract
                                  only)  . . . . . . . . . . . . . . . . . 78--78


Computers and Mathematics and Applications
Volume 56, Number 1, July, 2008

                Hee Sik Kim and   
                     J. Neggers   Fibonacci mean and golden section mean   228--232


Electronic Journal of Linear Algebra
Volume 17, Number 1, 2008

      Ali Reza Moghaddamfar and   
            S. Navid Salehy and   
                 S. Nima Salehy   Certain matrices related to the
                                  Fibonacci sequence having recursive
                                  entries  . . . . . . . . . . . . . . . . 543--576


British Journal for the History of Science
Volume 41, Number 1, March, 2008

                    Adam Mosley   Book Reviews: Stephen Clucas (ed.) John
                                  Dee: Interdisciplinary Studies in
                                  English Renaissance Thought.
                                  International Archives of the History of
                                  Ideas, 193. Dordrecht: Springer, 2006.
                                  Pp. xvii + 366. ISBN: 1-4020-4245-0.
                                  EUR144.00, \$189.00, \pounds 111.00
                                  (hardback). ISBN: 1-4020-4246-9
                                  (e-book)}  . . . . . . . . . . . . . . . 132--134


SIGCSE Bulletin (ACM Special Interest Group on Computer Science Education)
Volume 40, Number 3, September, 2008

    Manuel Rubio-Sánchez   An introduction to problem equivalence
                                  with combinatorics . . . . . . . . . . . 313--313


American Mathematical Monthly
Volume 115, Number 9, November, 2008

            Roberto Tauraso and   
                  O. P. Lossers   Fibonacci Numbers and Tilling a Board
                                  with Cuts: 11241 . . . . . . . . . . . . 858--859


SIGCSE Bulletin (ACM Special Interest Group on Computer Science Education)
Volume 40, Number 4, December, 2008

                  Michael Wirth   Introducing recursion by parking cars    52--55


Bulletin of Mathematical Biology
Volume 70, Number 3, April, 2008

 Michel E. Beleza Yamagishi and   
         Alex Itiro Shimabukuro   Nucleotide Frequencies in Human Genome
                                  and Fibonacci Numbers  . . . . . . . . . 643--653


Applied Mathematics and Computation
Volume 196, Number 2, March 1, 2008

               Sheng-liang Yang   On the $k$-generalized Fibonacci numbers
                                  and high-order linear recurrence
                                  relations  . . . . . . . . . . . . . . . 850--857


Mathematics Magazine
Volume 82, Number 2, 2009

                   Edward Dunne   Long days on the Fibonacci clock . . . . 127--134


Applied Mathematics and Computation
Volume 208, Number 1, February 1, 2009

              Sergio Falcon and   
                    Angel Plaza   On $k$-Fibonacci numbers of arithmetic
                                  indexes  . . . . . . . . . . . . . . . . 180--185


Journal of Mathematics and the Arts
Volume 3, Number 2, 2009

                Kevin Hartshorn   Book Review: \booktitleThe fabulous
                                  Fibonacci numbers by Alfred Posamentier
                                  and Ingmar Lehmann . . . . . . . . . . . 113--116


Historia Mathematica
Volume 36, Number 1, February, 2009

             Jens Hòyrup   Book Review: \booktitleFibonacci's De
                                  Practica Geometrie, Barnabas Hughes
                                  (Ed.), in: Sources and Studies in the
                                  History of Mathematics and Physical
                                  Sciences. Springer, New York (2008),
                                  ISBN 978-0-387-72930-5 . . . . . . . . . 73--77


Applied Mathematics and Computation
Volume 209, Number 1, March 1, 2009

              E. C. Laskari and   
             G. C. Meletiou and   
                 M. N. Vrahatis   Aitken and Neville inverse interpolation
                                  methods for the Lucas logarithm problem  52--56


College Mathematics Journal
Volume 40, Number 4, September, 2009

            Richard Maruszewski   Fibonacci's Forgotten Number Revisited   248--251


Centaurus: An International Journal of the History of Science and its Cultural Aspects
Volume 51, Number 2, May, 2009

                Jeffrey A. Oaks   Reviews: \booktitleFibonacci's
                                  \booktitleDe Practica Geometrie --- by
                                  Barnabas Hughes  . . . . . . . . . . . . 168--169


Journal of Number Theory
Volume 130, Number 9, September, 2010

              Manjusri Basu and   
                  Bandhu Prasad   Long range variations on the Fibonacci
                                  universal code . . . . . . . . . . . . . 1925--1931


Applied Mathematics and Computation
Volume 216, Number 3, April 1, 2010

                   Wenchang Chu   Fibonacci polynomials and Sylvester
                                  determinant of tridiagonal matrix  . . . 1018--1023


Computers and Mathematics and Applications
Volume 59, Number 1, January, 2010

              Edgardo Cureg and   
              Arunava Mukherjea   Numerical results on some generalized
                                  random Fibonacci sequences . . . . . . . 233--246


Applied Mathematics and Computation
Volume 215, Number 12, February 15, 2010

         Moawwad El-Mikkawy and   
                Tomohiro Sogabe   A new family of $k$-Fibonacci numbers    4456--4461


Computers and Mathematics and Applications
Volume 60, Number 10, November, 2010

           Mostafa Esmaeili and   
               Morteza Esmaeili   A Fibonacci-polynomial based coding
                                  method with error detection and
                                  correction . . . . . . . . . . . . . . . 2738--2752


International Journal of Number Theory (IJNT)
Volume 6, Number 2, March, 2010

             Jeong Soon Han and   
                Hee Sik Kim and   
                     J. Neggers   The Fibonacci-Norm of a Positive
                                  Integer: Observations and Conjectures    371--385


Historia Mathematica
Volume 37, Number 4, November, 2010

                Barnabas Hughes   An early abridgement of Fibonacci's De
                                  practica geometrie . . . . . . . . . . . 615--640


Annales de l'Institut Henri Poincar{\'e}. Probabilit{\'e}s et Statistiques
Volume 46, Number 1, February, 2010

     Élise Janvresse and   
          Beno\^\it Rittaud and   
              Thierry de la Rue   Almost-sure growth rate of generalized
                                  random Fibonacci sequences . . . . . . . 135--158


Applied Mathematics and Computation
Volume 217, Number 8, December 15, 2010

                 Dong-mei Jiang   Application of Fibonacci sine and cosine
                                  function to a nonlinear
                                  differential--difference equation  . . . 3898--3902


The Computer Journal
Volume 53, Number 6, July, 2010

            Shmuel T. Klein and   
          Miri Kopel Ben-Nissan   On the Usefulness of Fibonacci
                                  Compression Codes  . . . . . . . . . . . 701--716


International Journal of Number Theory (IJNT)
Volume 6, Number 7, November, 2010

                K. S. Enoch Lee   On the Sum of a Prime and a Fibonacci
                                  Number . . . . . . . . . . . . . . . . . 1669--1676


The Mathematical Gazette
Volume 94, Number 529, March, 2010

                  H. Matsui and   
               D. Minematsu and   
                T. Yamauchi and   
                   R. Miy Adera   Pascal-like triangles and Fibonacci-like
                                  sequences  . . . . . . . . . . . . . . . 27--41


Applied Mathematics and Computation
Volume 216, Number 10, July 15, 2010

             Shouqiang Shen and   
                   Jianmiao Cen   On the bounds for the norms of
                                  $r$-circulant matrices with the
                                  Fibonacci and Lucas numbers  . . . . . . 2891--2897


Information Processing Letters
Volume 110, Number 21, October 15, 2010

                Bartosz Walczak   A simple representation of subwords of
                                  the Fibonacci word . . . . . . . . . . . 956--960


ArXiv e-prints
Papers beginning November, 2011

                  T. Becker and   
         A. Greaves-Tunnell and   
               S. J. Miller and   
                   R. Ronan and   
                  F. W. Strauch   Benford's Law and Continuous Dependent
                                  Random Variables . . . . . . . . . . . . 


Computers and Mathematics and Applications
Volume 61, Number 9, May, 2011

               Aline Castro and   
              Sandi Klavzar and   
             Michel Mollard and   
                      Yoomi Rho   On the domination number and the
                                  $2$-packing number of Fibonacci cubes
                                  and Lucas cubes  . . . . . . . . . . . . 2655--2660


Linear Multilinear Algebra
Volume 59, Number 3, 2011

               C. M. da Fonseca   Some open questions on the Fibonacci
                                  polytope . . . . . . . . . . . . . . . . 317


Experimental Mathematics
Volume 20, Number 2, 2011

             Barnaby Dalton and   
            Mustazee Rahman and   
                  Stephen Tanny   Spot-Based Generations for
                                  Meta-Fibonacci Sequences . . . . . . . . 129--137


Applied Mathematics and Computation
Volume 218, Number 3, October 1, 2011

                Jacek Dziok and   
     Ravinder Krishna Raina and   
            Janusz Sokól   On $ \alpha $-convex functions related
                                  to shell-like functions connected with
                                  Fibonacci numbers  . . . . . . . . . . . 996--1002


Computers and Mathematics and Applications
Volume 61, Number 9, May, 2011

                Jacek Dziok and   
     Ravinder Krishna Raina and   
            Janusz Sokól   Certain results for a class of convex
                                  functions related to a shell-like curve
                                  connected with Fibonacci numbers . . . . 2605--2613


Applied Mathematics and Computation
Volume 217, Number 12, February 15, 2011

                     Jishe Feng   Fibonacci identities via the determinant
                                  of tridiagonal matrix  . . . . . . . . . 5978--5981


The Mathematical Gazette
Volume 95, Number 534, November, 2011

                    N. Gauthier   95.50 Fractional-power identities for
                                  Fibonacci and Lucas polynomials and
                                  numbers  . . . . . . . . . . . . . . . . 486--494


International Journal of Number Theory (IJNT)
Volume 7, Number 3, May, 2011

             Jeong Soon Han and   
                Hee Sik Kim and   
                     J. Neggers   Acknowledgment of priority: ``The
                                  Fibonacci-norm of a positive integer:
                                  Observations and conjectures'' . . . . . 853--854


Archive for History of Exact Sciences
Volume 65, Number 2, March, 2011

                    John Hannah   Conventions for recreational problems in
                                  Fibonacci's \booktitleLiber Abbaci . . . 155--180


Annals of the Institute of Statistical Mathematics
Volume 63, Number 1, February, 2011

              Kiyoshi Inoue and   
                      Sigeo Aki   Bivariate Fibonacci polynomials of order
                                  $k$ with statistical applications  . . . 197--210


Applied Mathematics and Computation
Volume 217, Number 12, February 15, 2011

                   Ahmet \.Ipek   On the spectral norms of circulant
                                  matrices with classical Fibonacci and
                                  Lucas numbers entries  . . . . . . . . . 6011--6012


Journal of Statistical Physics
Volume 142, Number 4, February, 2011

                    Yueheng Lan   Novel Computation of the Growth Rate of
                                  Generalized Random Fibonacci Sequences   847--861


Journal of Number Theory
Volume 131, Number 3, March, 2011

               Florian Luca and   
             Carl Pomerance and   
                 Stephan Wagner   Fibonacci integers . . . . . . . . . . . 440--457


Applied Mathematics and Computation
Volume 217, Number 22, July 15, 2011

                     Shi-Mei Ma   Identities involving generalized
                                  Fibonacci-type polynomials . . . . . . . 9297--9301


The Mathematical Gazette
Volume 95, Number 533, July, 2011

               Ognjen Milatovic   95.21 A property of odd terms of a
                                  generalised Fibonacci sequence . . . . . 262--264


Journal of Computational Physics
Volume 230, Number 4, February 20, 2011

                   Rob F. Remis   On the relation between FDTD and
                                  Fibonacci polynomials  . . . . . . . . . 1382--1386


The Mathematical Gazette
Volume 95, Number 534, November, 2011

               Norman Routledge   95.49 Generalised Fibonacci Properties   483--486


Applied Mathematics and Computation
Volume 217, Number 23, August 1, 2011

            Shou-Qiang Shen and   
              Jian-Miao Cen and   
                       Yong Hao   On the determinants and inverses of
                                  circulant matrices with Fibonacci and
                                  Lucas numbers  . . . . . . . . . . . . . 9790--9797

Applied Mathematics and Computation
Volume 217, Number 24, August 15, 2011

                 Naim Tuglu and   
            E. Gokcen Kocer and   
                 Alexey Stakhov   Bivariate Fibonacci like $p$-polynomials 10239--10246


Bollettino di Storia delle Scienze Matematiche
Volume 31, Number 2, 2011

               Elisabetta Ulivi   On Leonardo Fibonacci and on masters of
                                  the abacus in Pisa from the thirteenth
                                  to the fifteenth century . . . . . . . . 247--286


Communications of the Association for Computing Machinery
Volume 54, Number 8, August, 2011

                  Peter Winkler   Last Byte: Puzzled: Uncommon Divisors    120--120


Applied Mathematics and Computation
Volume 217, Number 12, February 15, 2011

                   Omer Yayenie   A note on generalized Fibonacci
                                  sequences  . . . . . . . . . . . . . . . 5603--5611


Applied Mathematics and Computation
Volume 219, Number 2, October 1, 2012

             Durmus Bozkurt and   
                    Tin-Yau Tam   Determinants and inverses of circulant
                                  matrices with Jacobsthal and
                                  Jacobsthal--Lucas Numbers  . . . . . . . 544--551


College Mathematics Journal
Volume 43, Number 3, May, 2012

               Hongwei Chen and   
                  Chris Kennedy   Harmonic Series Meets Fibonacci Sequence 237--243


Statistics & Probability Letters
Volume 82, Number 9, September, 2012

         Sören Christensen   Generalized Fibonacci numbers and
                                  Blackwell's renewal theorem  . . . . . . 1665--1668


Theoretical Computer Science
Volume 437, Number 1, June 15, 2012

             Wai-Fong Chuan and   
               Fang-Yi Liao and   
                Hui-Ling Ho and   
                         Fei Yu   Fibonacci word patterns in two-way
                                  infinite Fibonacci words . . . . . . . . 69--81


Journal of Number Theory
Volume 132, Number 12, December, 2012

                   L. Hajdu and   
                    M. Szikszai   On the GCD-s of $k$ consecutive terms of
                                  Lucas sequences  . . . . . . . . . . . . 3056--3069


{The Times [London]}
Papers beginning October 28, 2012

                 Michael Hanlon   Turing's flower theory blossoms  . . . . 


ACM SIG{}PLAN Notices
Volume 47, Number 8, August, 2012

       Charles E. Leiserson and   
             Tao B. Schardl and   
                      Jim Sukha   Deterministic parallel random-number
                                  generation for dynamic-multithreading
                                  platforms  . . . . . . . . . . . . . . . 193--204


Applied Mathematics and Computation
Volume 218, Number 17, May 1, 2012

                   Hsuan-Chu Li   On Fibonacci--Hessenberg matrices and
                                  the Pell and Perrin numbers  . . . . . . 8353--8358

Applied Mathematics and Computation
Volume 218, Number 19, June 1, 2012

                  J. Petronilho   Generalized Fibonacci sequences via
                                  orthogonal polynomials . . . . . . . . . 9819--9824


Journal of Number Theory
Volume 132, Number 8, August, 2012

  Ákos Pintér and   
                 Volker Ziegler   On arithmetic progressions in
                                  recurrences --- a new characterization
                                  of the Fibonacci sequence  . . . . . . . 1686--1706


Theoretical Computer Science
Volume 432, Number 1, May 11, 2012

                   Arto Salomaa   Subword occurrences, weighted automata
                                  and iterated morphisms, especially the
                                  Fibonacci morphism . . . . . . . . . . . 85--93


Journal of Mathematical Physics
Volume 53, Number 6, June, 2012

            Ulrich Seyfarth and   
                Kedar S. Ranade   Cyclic mutually unbiased bases,
                                  Fibonacci polynomials and Wiedemann's
                                  conjecture . . . . . . . . . . . . . . . 062201


The Mathematical Intelligencer
Volume 35, Number 1, March, 2013

Francisco Aragón Artacho and   
            David H. Bailey and   
        Jonathan M. Borwein and   
               Peter B. Borwein   Walking on Real Numbers  . . . . . . . . 42--60


Journal of Number Theory
Volume 133, Number 9, September, 2013

              Jhon J. Bravo and   
                   Florian Luca   Corrigendum to ``Coincidences in
                                  generalized Fibonacci sequences'' [J.
                                  Number Theory \bf 133 (6) (2013)
                                  2121--2137]  . . . . . . . . . . . . . . 3205--3205

Journal of Number Theory
Volume 133, Number 6, June, 2013

              Jhon J. Bravo and   
                   Florian Luca   Coincidences in generalized Fibonacci
                                  sequences  . . . . . . . . . . . . . . . 2121--2137


International Journal of Number Theory (IJNT)
Volume 9, Number 5, August, 2013

              Jhon J. Bravo and   
                   Florian Luca   On the largest prime factor of the
                                  $k$-Fibonacci numbers  . . . . . . . . . 1351--1366


Linear Algebra and its Applications
Volume 438, Number 2, January 15, 2013

                 Jin-Yi Cai and   
                  Pinyan Lu and   
                     Mingji Xia   Holographic algorithms by Fibonacci
                                  gates  . . . . . . . . . . . . . . . . . 690--707


Journal of Statistical Physics
Volume 153, Number 2, October, 2013

              David Damanik and   
                Paul Munger and   
              William N. Yessen   Orthogonal Polynomials on the Unit
                                  Circle with Fibonacci Verblunsky
                                  Coefficients, II. Applications . . . . . 339--362


The Mathematical Gazette
Volume 97, Number 538, March, 2013

              A. S. Di Domenico   Integer sequences that behave as
                                  Fibonacci--Lucas pairs . . . . . . . . . 1--7

The Mathematical Gazette
Volume 97, Number 539, July, 2013

               Martin Griffiths   From golden-ratio equalities to
                                  Fibonacci and Lucas identities . . . . . 234--241


Applied Mathematics and Computation
Volume 220, Number ??, September 1, 2013

                H. H. Gulec and   
                 N. Taskara and   
                        K. Uslu   A new approach to generalized Fibonacci
                                  and Lucas numbers with binomial
                                  coefficients . . . . . . . . . . . . . . 482--486


Journal of Number Theory
Volume 133, Number 9, September, 2013

Kenan Kaygìsìz and   
                   Adem \cSahin   A new method to compute the terms of
                                  generalized order-$k$ Fibonacci numbers  3119--3126


Applied Mathematics and Computation
Volume 219, Number 14, March 15, 2013

         Emrah Kiliç and   
                   Talha Arikan   More on the infinite sum of reciprocal
                                  Fibonacci, Pell and higher order
                                  recurrences  . . . . . . . . . . . . . . 7783--7788


Mathematical and Computational Applications
Volume 18, Number 3, December, 2013

                Ay\cse Kurt and   
Salih Yalçìnba\cs and   
                   Mehmet Sezer   Fibonacci Collocation Method for Solving
                                  Linear Differential--Difference
                                  Equations  . . . . . . . . . . . . . . . 448--458


Linear Algebra and its Applications
Volume 438, Number 11, June 1, 2013

               John D. LaGrange   A combinatorial development of Fibonacci
                                  numbers in graph spectra . . . . . . . . 4335--4347


Computer Graphics Forum
Volume 32, Number 8, December, 2013

                 R. Marques and   
                C. Bouville and   
            M. Ribardi\`ere and   
               L. P. Santos and   
                   K. Bouatouch   Spherical Fibonacci Point Sets for
                                  Illumination Integrals . . . . . . . . . 134--143


Applied Mathematics and Computation
Volume 219, Number 12, February 15, 2013

           Geetanjali Panda and   
                    Suman Ghosh   A derivative free multidimensional
                                  optimal search method using Lucas number 6536--6541


ACM SIG{}PLAN Notices
Volume 48, Number 5, May, 2013

         Vasileios Porpodas and   
                 Marcelo Cintra   LUCAS: latency-adaptive unified cluster
                                  assignment and instruction scheduling    45--54


Theoretical Computer Science
Volume 482, Number ??, April 22, 2013

                 Salvador Roura   Fibonacci BSTs: a new balancing method
                                  for binary search trees  . . . . . . . . 48--59


The Mathematical Gazette
Volume 97, Number 540, November, 2013

                Jawad Sadek and   
                  Russell Euler   Divisibility properties for Fibonacci
                                  and related numbers  . . . . . . . . . . 461--464


Applied Mathematics and Computation
Volume 219, Number 10, January 15, 2013

                  Andrzej Wloch   Some identities for the generalized
                                  Fibonacci numbers and the generalized
                                  Lucas numbers  . . . . . . . . . . . . . 5564--5568


Applied Mathematics and Computation
Volume 245, Number ??, October 15, 2014

                 Goksal Bilgici   Two generalizations of Lucas sequence    526--538


Fundamenta Informaticae
Volume 132, Number 1, January, 2014

             Karel B\vrinda and   
     Edita Pelantová and   
                 Ond\vrej Turek   Balances of $m$-bonacci Words  . . . . . 33--61


Applied Mathematics and Computation
Volume 236, Number ??, June 1, 2014

           Carlos M. da Fonseca   Unifying some Pell and Fibonacci
                                  identities . . . . . . . . . . . . . . . 41--42


Linear Algebra and its Applications
Volume 440, Number ??, January 1, 2014

                 John Dixon and   
         Michael Goldenberg and   
                 Ben Mathes and   
               Justin Sukiennik   Triangular truncation of $k$-Fibonacci
                                  and $k$-Lucas circulant matrices . . . . 177--187


Theoretical Computer Science
Volume 547, Number ??, August 28, 2014

        Aviezri S. Fraenkel and   
                  Jamie Simpson   Corrigendum to ``The exact number of
                                  squares in Fibonacci words'' [Theoret.
                                  Comput. Sci. \bf 218 (1) (1999) 95--106] 122


Applied Mathematics and Computation
Volume 247, Number ??, November 15, 2014

Esther M. García-Caballero and   
           Samuel G. Moreno and   
             Michael P. Prophet   A complete view of Vi\`ete-like infinite
                                  products with Fibonacci and Lucas
                                  numbers  . . . . . . . . . . . . . . . . 703--711


Applied Mathematics and Computation
Volume 229, Number ??, February 25, 2014

                 Ahmet Ipek and   
                      Kamil Ari   On Hessenberg and pentadiagonal
                                  determinants related with Fibonacci and
                                  Fibonacci-like numbers . . . . . . . . . 433--439


Journal of Computer and System Sciences
Volume 80, Number 6, September, 2014

                   Max Kanovich   Multiset rewriting over Fibonacci and
                                  Tribonacci numbers . . . . . . . . . . . 1138--1151


The Mathematical Gazette
Volume 98, Number 542, July, 2014

                   Thomas Koshy   Graph-theoretic models for the Fibonacci
                                  family . . . . . . . . . . . . . . . . . 256--265


American Mathematical Monthly
Volume 121, Number 6, June, 2014

                   Harris Kwong   An Alternate Proof of Sury's
                                  Fibonacci--Lucas Relation  . . . . . . . 514--514


Uniform Distribution Theory
Volume 9, Number 1, 2014

               Florian Luca and   
         Pantelimon St\uanic\ua   On the first digits of the Fibonacci
                                  numbers and their Euler function . . . . 21--25


International Journal of Number Theory (IJNT)
Volume 10, Number 4, June, 2014

               Florian Luca and   
                 Carl Pomerance   On the local behavior of the order of
                                  appearance in the Fibonacci sequence . . 915--933


Applied Mathematics and Computation
Volume 226, Number ??, January 1, 2014

         Rafael Luís and   
           Henrique M. Oliveira   Products of $ 2 \times 2 $ matrices
                                  related to non autonomous Fibonacci
                                  difference equations . . . . . . . . . . 101--116


The Mathematical Gazette
Volume 98, Number 541, March, 2014

          Surajit Rajagopal and   
               Martin Griffiths   98.01 On Fibonacci numbers that are
                                  factorials . . . . . . . . . . . . . . . 104--107


Applied Mathematics and Computation
Volume 229, Number ??, February 25, 2014

  José L. Ramírez   On convolved generalized Fibonacci and
                                  Lucas polynomials  . . . . . . . . . . . 208--213


Theoretical Computer Science
Volume 528, Number ??, April 3, 2014

José L. Ramírez and   
         Gustavo N. Rubiano and   
              Rodrigo De Castro   A generalization of the Fibonacci word
                                  fractal and the Fibonacci snowflake  . . 40--56


Mathematica Journal
Volume 16, Number ??, 2014

José L. Ramírez and   
             Gustavo N. Rubiano   Properties and Generalizations of the
                                  Fibonacci Word Fractal: Exploring
                                  Fractal Curves . . . . . . . . . . . . . ??


American Mathematical Monthly
Volume 121, Number 3, March, 2014

                        B. Sury   A Polynomial Parent to a
                                  Fibonacci--Lucas Relation  . . . . . . . 236--236


Applied Mathematics and Computation
Volume 236, Number ??, June 1, 2014

              Krasimir Yordzhev   Factor-set of binary matrices and
                                  Fibonacci numbers  . . . . . . . . . . . 235--238


Applied Mathematics and Computation
Volume 233, Number ??, May 1, 2014

               Jianwei Zhou and   
                  Zhaolin Jiang   The spectral norms of $g$-circulant
                                  matrices with classical Fibonacci and
                                  Lucas numbers entries  . . . . . . . . . 582--587


Applied Mathematics and Computation
Volume 250, Number ??, January 1, 2015

                 Maria Adam and   
         Nicholas Assimakis and   
                 Alfonso Farina   Golden section, Fibonacci sequence and
                                  the time invariant Kalman and Lainiotis
                                  filters  . . . . . . . . . . . . . . . . 817--831


Monte Carlo Methods and Applications
Volume 21, Number 2, June, 2015

        Timothy D. Andersen and   
               Michael Mascagni   Memory efficient lagged-Fibonacci random
                                  number generators for GPU supercomputing 163--174


International Journal of Number Theory (IJNT)
Volume 11, Number 1, February, 2015

                Tianxin Cai and   
                  Deyi Chen and   
                     Yong Zhang   Perfect numbers and Fibonacci primes (I) 159--169


Journal of Number Theory
Volume 156, Number ??, November, 2015

           Ana Paula Chaves and   
                  Diego Marques   A Diophantine equation related to the
                                  sum of powers of two consecutive
                                  generalized Fibonacci numbers  . . . . . 1--14


American Mathematical Monthly
Volume 122, Number 6, June, 2015

         Dennis D. A. Epple and   
                  Jason Siefken   Collapse: A Fibonacci and Sturmian Game  515--527


IEEE\slash ACM Transactions on Audio, Speech, and Language Processing
Volume 23, Number 8, August, 2015

              M. Fallahpour and   
                      D. Megias   Audio Watermarking Based on Fibonacci
                                  Numbers  . . . . . . . . . . . . . . . . 1273--1282


The Mathematical Gazette
Volume 99, Number 544, March, 2015

               Martin Griffiths   Random walks arising from a
                                  Fibonacci's-rabbits scenario . . . . . . 60--67


Linear Algebra and its Applications
Volume 475, Number ??, June 15, 2015

               Kyle Hawkins and   
      Ursula Hebert-Johnson and   
                     Ben Mathes   The Fibonacci identities of
                                  orthogonality  . . . . . . . . . . . . . 80--89


College Mathematics Journal
Volume 46, Number 2, March, 2015

                    Dae S. Hong   When Is the Generating Function of the
                                  Fibonacci Numbers an Integer?  . . . . . 110--112


Theoretical Computer Science
Volume 593, Number ??, August 16, 2015

                 Yuke Huang and   
                    Zhiying Wen   The sequence of return words of the
                                  Fibonacci sequence . . . . . . . . . . . 106--116


Applied Mathematics and Computation
Volume 268, Number ??, October 1, 2015

               Xiaoyu Jiang and   
                   Kicheon Hong   Explicit inverse matrices of Tribonacci
                                  skew circulant type matrices . . . . . . 93--102


ACM Transactions on Graphics
Volume 34, Number 6, November, 2015

           Benjamin Keinert and   
           Matthias Innmann and   
        Michael Sänger and   
                Marc Stamminger   Spherical Fibonacci mapping  . . . . . . 193:1--193:??


International Journal of Number Theory (IJNT)
Volume 11, Number 3, May, 2015

        Refìk Keskin and   
                 Olcay Karaatli   Generalized Fibonacci and Lucas numbers
                                  of the form $ 5 x^2 $  . . . . . . . . . 931--944


American Mathematical Monthly
Volume 122, Number 7, August, 2015

                  Diego Marques   A New Fibonacci--Lucas Relation  . . . . 683--683


Archive for History of Exact Sciences
Volume 69, Number 4, July, 2015

                 Marc Moyon and   
             Maryvonne Spiesser   L'arithmétique des fractions dans
                                  l'oeuvre de Fibonacci: fondements &
                                  usages . . . . . . . . . . . . . . . . . 391--427


Journal of Number Theory
Volume 149, Number ??, April, 2015

                 Ayse Nalli and   
                 Cagla Ozyilmaz   The third order variations on the
                                  Fibonacci universal code . . . . . . . . 15--32


Almagest: International Journal for the History of Scientific Ideas
Volume 6, Number 2, 2015

            Raffaele Pisano and   
                 Paolo Bussotti   Fibonacci and the Abacus Schools in
                                  Italy. Mathematical Conceptual Streams
                                  --- Education and its Changing
                                  Relationship with Society  . . . . . . . 126--164


Journal of Number Theory
Volume 152, Number ??, July, 2015

Carlos Alexis Gómez Ruiz and   
                   Florian Luca   On the largest prime factor of the ratio
                                  of two generalized Fibonacci numbers . . 182--203


Algorithmica
Volume 71, Number 4, April, 2015

               Aleksander Vesel   Linear Recognition and Embedding of
                                  Fibonacci Cubes  . . . . . . . . . . . . 1021--1034


Information Processing Letters
Volume 116, Number 5, May, 2016

           Ali Reza Ashrafi and   
             Jernej Azarija and   
                 Azam Babai and   
      Khadijeh Fathalikhani and   
                  Sandi Klavzar   The (non-)existence of perfect codes in
                                  Fibonacci cubes  . . . . . . . . . . . . 387--390


Mathematical and Computational Applications
Volume 21, Number 2, June, 2016

 Ay\cse Kurt Bah\csì and   
Salih Yalçìnba\cs   A New Algorithm for the Numerical
                                  Solution of Telegraph Equations by Using
                                  Fibonacci Polynomials  . . . . . . . . . ??


Journal of Number Theory
Volume 163, Number ??, June, 2016

     Albrecht Böttcher and   
                  Fuad Kittaneh   The limit of the zero set of polynomials
                                  of the Fibonacci type  . . . . . . . . . 89--100


Theoretical Computer Science
Volume 638, Number ??, July 25, 2016

Gerth Stòlting Brodal and   
              Pooya Davoodi and   
           Moshe Lewenstein and   
               Rajeev Raman and   
            Srinivasa Rao Satti   Two dimensional range minimum queries
                                  and Fibonacci lattices . . . . . . . . . 33--43


ACM SIGACT News
Volume 47, Number 4, December, 2016

          Michaël Cadilhac   Review of: \booktitleThe Golden Ratio
                                  and Fibonacci Numbers by Richard A.
                                  Dunlap . . . . . . . . . . . . . . . . . 15--17


ACM Communications in Computer Algebra
Volume 50, Number 4, December, 2016

          Eunice Y. S. Chan and   
              Robert M. Corless   Fibonacci--Mandelbrot polynomials and
                                  matrices . . . . . . . . . . . . . . . . 155--157


Theoretical Computer Science
Volume 657 (part B), Number ??, 2016

                Chen Fei Du and   
             Hamoon Mousavi and   
               Eric Rowland and   
             Luke Schaeffer and   
                Jeffrey Shallit   Decision algorithms for
                                  Fibonacci-automatic words, II: Related
                                  sequences and avoidability . . . . . . . 146--162


International Journal of Foundations of Computer Science (IJFCS)
Volume 27, Number 8, December, 2016

                Chen Fei Du and   
             Hamoon Mousavi and   
             Luke Schaeffer and   
                Jeffrey Shallit   Decision Algorithms for
                                  Fibonacci-Automatic Words, III:
                                  Enumeration and Abelian Properties . . . 943--964


American Mathematical Monthly
Volume 123, Number 10, December, 2016

       Stephan Ramon Garcia and   
                   Florian Luca   Quotients of Fibonacci Numbers . . . . . 1039--1044

American Mathematical Monthly
Volume 123, Number 4, April, 2016

              Keith Johnson and   
               Kira Scheibelhut   Rational Polynomials That Take Integer
                                  Values at the Fibonacci Numbers  . . . . 338--346


Linear Multilinear Algebra
Volume 64, Number 11, 2016

           Emrah Evren Kara and   
                   Merve Ilkhan   Some properties of generalized Fibonacci
                                  sequence spaces  . . . . . . . . . . . . 2208


Applied Numerical Mathematics: Transactions of IMACS
Volume 110, Number ??, December, 2016

               Tamara Kogan and   
                 Luba Sapir and   
                 Amir Sapir and   
                    Ariel Sapir   The Fibonacci family of iterative
                                  processes for solving nonlinear
                                  equations  . . . . . . . . . . . . . . . 148--158


Applied Mathematics and Computation
Volume 273, Number ??, January 15, 2016

            Farshid Mirzaee and   
         Seyede Fatemeh Hoseini   Application of Fibonacci collocation
                                  method for solving Volterra--Fredholm
                                  integral equations . . . . . . . . . . . 637--644


Linear Multilinear Algebra
Volume 64, Number 2, 2016

                  Piotr Slanina   Generalizations of Fibonacci polynomials
                                  and free linear groups . . . . . . . . . 187
          Gholamreza Talebi and   
           Mohammad Ali Dehghan   Approximation of upper bound for matrix
                                  operators on the Fibonacci weighted
                                  sequence spaces  . . . . . . . . . . . . 196


Experimental Mathematics
Volume 25, Number 4, 2016

                F. V. Weinstein   Notes on Fibonacci Partitions  . . . . . 482--499


Theoretical Computer Science
Volume 668, Number ??, March 15, 2017

          F. Michel Dekking and   
               Michael S. Keane   On the conjugacy class of the Fibonacci
                                  dynamical system . . . . . . . . . . . . 59--69


Linear Multilinear Algebra
Volume 65, Number 5, 2017

                Sinan Ercan and   
        Çigdem A. Bektas   Some topological and geometric
                                  properties of a new BK-space derived by
                                  using regular matrix of Fibonacci
                                  numbers  . . . . . . . . . . . . . . . . 909--921


Cryptography and Communications
Volume 9, Number 3, May, 2017

                M. Esmaeili and   
                 M. Moosavi and   
                 T. A. Gulliver   A new class of Fibonacci sequence based
                                  error correcting codes . . . . . . . . . 379--396


Journal of Mathematical Physics
Volume 58, Number 12, December, 2017

              Markus Grassl and   
                Andrew J. Scott   Fibonacci--Lucas SIC--POVMs  . . . . . . 122201


ACM Transactions on Algorithms
Volume 13, Number 3, August, 2017

      Thomas Dueholm Hansen and   
                Haim Kaplan and   
           Robert E. Tarjan and   
                      Uri Zwick   Hollow Heaps . . . . . . . . . . . . . . 42:1--42:??


Communications in Statistics: Simulation and Computation
Volume 46, Number 5, 2017

                   Myron Hlynka   MCMC and the Fibonacci distribution  . . 3375--3382


Canadian Mathematical Bulletin = Bulletin canadien de math{\'e}matiques
Volume 60, Number 4, December, 2017

            Kimihiko Motegi and   
             Masakazu Teragaito   Generalized Torsion Elements and
                                  Bi-orderability of $3$-manifold Groups   830


Statistics & Probability Letters
Volume 121, Number ??, February, 2017

    Jörg Neunhäuserer   Return of Fibonacci random walks . . . . 51--53


BSHM Bulletin: Journal of the British Society for the History of Mathematics
Volume 32, Number 1, 2017

          Karen Hunger Parshall   A plurality of algebras, 1200--1600:
                                  algebraic Europe from Fibonacci to
                                  Clavius  . . . . . . . . . . . . . . . . 2--16


College Mathematics Journal
Volume 48, Number 2, March, 2017

          Prapanpong Pongsriiam   Integral Values of the Generating
                                  Functions of Fibonacci and Lucas Numbers 97--101


Journal of Number Theory
Volume 180, Number ??, November, 2017

             Bartosz Sobolewski   The $2$-adic valuation of generalized
                                  Fibonacci sequences with an application
                                  to certain Diophantine equations . . . . 730--742


Applied Mathematics and Computation
Volume 302, Number ??, June 1, 2017

                  Marx Stampfli   Bridged graphs, circuits and Fibonacci
                                  numbers  . . . . . . . . . . . . . . . . 68--79


The Mathematical Gazette
Volume 101, Number 552, November, 2017

                    Owen Toller   Book Review: \booktitleFinding Fibonacci
                                  by Keith Devlin, pp. 241, \pounds 24.95,
                                  ISBN 978-0-691-17486-0, Princeton
                                  University Press (2017)  . . . . . . . . 569--570


Applied Mathematics and Computation
Volume 307, Number ??, August 15, 2017

               Weiping Wang and   
                       Hui Wang   Generalized Humbert polynomials via
                                  generalized Fibonacci polynomials  . . . 204--216


Applied Mathematics and Computation
Volume 306, Number ??, August 1, 2017

                  Xiaoli Ye and   
                 Zhizheng Zhang   A common generalization of convolved
                                  generalized Fibonacci and Lucas
                                  polynomials and its applications . . . . 31--37


Nuncius
Volume 33, Number 1, 2018

                 Argante Ciocci   Book Review: \booktitleThe Twelfth
                                  Chapter of Fibonacci's Liber Abaci in
                                  its 1202 version, Bollettino di Storia
                                  delle Scienze Matematiche, by Enrico
                                  Giusti (ed.) . . . . . . . . . . . . . . 137--139


Applied Mathematics and Computation
Volume 320, Number ??, March 1, 2018

                Arzu Coskun and   
                 Necati Taskara   A note on the bi-periodic Fibonacci and
                                  Lucas matrix sequences . . . . . . . . . 400--406


Applied Mathematics and Computation
Volume 338, Number ??, December 1, 2018

                Wojciech Florek   A class of generalized Tribonacci
                                  sequences applied to counting problems   789--808


Journal of Number Theory
Volume 190, Number ??, September, 2018

              Kevin G. Hare and   
                 J. C. Saunders   On $ (a, b) $ pairs in random Fibonacci
                                  sequences  . . . . . . . . . . . . . . . 352--366


Journal of Number Theory
Volume 182, Number ??, January, 2018

             Issam Kaddoura and   
                  Bassam Mourad   On a new improved unifying closed
                                  formula for all Fibonacci-type sequences
                                  and some applications  . . . . . . . . . 271--283


Information Processing Letters
Volume 134, Number ??, June, 2018

                   Hong Lai and   
               Mingxing Luo and   
             Josef Pieprzyk and   
                  Zhiguo Qu and   
                Mehmet A. Orgun   Efficient quantum key distribution using
                                  Fibonacci-number coding with a biased
                                  basis choice . . . . . . . . . . . . . . 24--30


Journal of Number Theory
Volume 189, Number ??, August, 2018

               Florian Luca and   
                  Vandita Patel   On perfect powers that are sums of two
                                  Fibonacci numbers  . . . . . . . . . . . 90--96


American Mathematical Monthly
Volume 125, Number 5, 2018

              Chris D. Lynd and   
            James Wright Sharpe   Sequences Generated by Powers of the
                                  $k$-th-order Fibonacci Recurrence
                                  Relation . . . . . . . . . . . . . . . . 443--446


Information Processing Letters
Volume 140, Number ??, December, 2018

                 Michel Mollard   The existence of perfect codes in a
                                  family of generalized Fibonacci cubes    ii--ii


Journal of the History of Biology
Volume 51, Number 2, June, 2018

        János Podani and   
     Ádám Kun and   
  András Szilágyi   How Fast Does Darwin's Elephant
                                  Population Grow? . . . . . . . . . . . . 259--281


College Mathematics Journal
Volume 49, Number 2, March, 2018

                      Tim Price   Proof Without Words: Sum of Squares of
                                  Consecutive Fibonacci Numbers  . . . . . 121--121


International Journal of Number Theory (IJNT)
Volume 14, Number 4, May, 2018

Carlos Alexis Gómez Ruiz and   
                   Florian Luca   On prime factors of the sum of two
                                  $k$-Fibonacci numbers  . . . . . . . . . 1171--1195


Applied Mathematics and Computation
Volume 325, Number ??, May 15, 2018

         Bernard Rybolowicz and   
        Agnieszka Tereszkiewicz   Generalized tricobsthal and generalized
                                  tribonacci polynomials . . . . . . . . . 297--308


BSHM Bulletin: Journal of the British Society for the History of Mathematics
Volume 33, Number 2, 2018

                Richard Simpson   Book Review: \booktitleFinding
                                  Fibonacci: the quest to rediscover the
                                  forgotten mathematical genius who
                                  changed the world, by Keith Devlin . . . 136--137


Applied Mathematics and Computation
Volume 339, Number ??, December 15, 2018

                Jizhen Yang and   
                 Zhizheng Zhang   Some identities of the generalized
                                  Fibonacci and Lucas sequences  . . . . . 441--450


Theoretical Computer Science
Volume 775, Number ??, July 5, 2019

             Pierre Bonardo and   
               Anna E. Frid and   
                Jeffrey Shallit   The number of valid factorizations of
                                  Fibonacci prefixes . . . . . . . . . . . 68--75


International Journal of Number Theory (IJNT)
Volume 15, Number 3, April, 2019

               Zhaodong Cai and   
           A. J. Hildebrand and   
                     Junxian Li   A local Benford Law for a class of
                                  arithmetic sequences . . . . . . . . . . 613--638


ACM Transactions on Programming Languages and Systems
Volume 41, Number 4, November, 2019

      Krishnendu Chatterjee and   
                 Hongfei Fu and   
       Amir Kafshdar Goharshady   Non-polynomial Worst-Case Analysis of
                                  Recursive Programs . . . . . . . . . . . 20:1--20:??


Theoretical Computer Science
Volume 795, Number ??, November 26, 2019

                   Amy Glen and   
              Jamie Simpson and   
                    W. F. Smyth   More properties of the Fibonacci word on
                                  an infinite alphabet . . . . . . . . . . 301--311


IEEE Transactions on Parallel and Distributed Systems
Volume 30, Number 8, August, 2019

                 C. Gueunet and   
                  P. Fortin and   
                  J. Jomier and   
                      J. Tierny   Task-Based Augmented Contour Trees with
                                  Fibonacci Heaps  . . . . . . . . . . . . 1889--1905


Journal of Number Theory
Volume 203, Number ??, October, 2019

                  Bir Kafle and   
               Florian Luca and   
           Amanda Montejano and   
László Szalay and   
             Alain Togbé   On the $X$-coordinates of Pell equations
                                  which are products of two Fibonacci
                                  numbers  . . . . . . . . . . . . . . . . 310--333


Linear Multilinear Algebra
Volume 67, Number 1, 2019

         Emrah Kiliç and   
                   Talha Arikan   A nonlinear generalization of the
                                  Filbert matrix and its Lucas analogue    141--157


American Mathematical Monthly
Volume 126, Number 1, 2019

           K. Kuhapatanakul and   
                   K. Thongsing   Generalizations of the Fibonacci--Lucas
                                  Relations  . . . . . . . . . . . . . . . 81--81

American Mathematical Monthly
Volume 126, Number 9, 2019

                     Rick Mabry   Fibonacci Numbers, Integer Compositions,
                                  and Nets of Antiprisms . . . . . . . . . 786--801


Journal of Mathematical Physics
Volume 60, Number 1, January, 2019

           Andre A. Marinho and   
             Francisco A. Brito   Hermite polynomials and Fibonacci
                                  oscillators  . . . . . . . . . . . . . . 012101


The Mathematical Gazette
Volume 103, Number 558, November, 2019

              K. B. Subramaniam   103.28 On a link between Triangular and
                                  Fibonacci numbers  . . . . . . . . . . . 489--489


Linear Multilinear Algebra
Volume 67, Number 8, 2019

          Gholamreza Talebi and   
           Mohammad Ali Dehghan   Approximation of upper bound for matrix
                                  operators on the Fibonacci weighted
                                  sequence spaces  . . . . . . . . . . . . 1717--1718


American Mathematical Monthly
Volume 126, Number 5, 2019

                 Bruce Torrence   Passing the Buck and Firing Fibonacci:
                                  Adventures with the Stochastic Abacus    387--399


Journal of Number Theory
Volume 217, Number ??, December, 2020

              Alaa Altassan and   
                   Florian Luca   On the equation $ \sum_{j = 1}^k j F_j^p
                                  = F_n^q $  . . . . . . . . . . . . . . . 256--277


Journal of Number Theory
Volume 210, Number ??, May, 2020

                  Fan Chung and   
                 Ron Graham and   
                      Sam Spiro   Slow Fibonacci walks . . . . . . . . . . 142--170


International Journal of Number Theory (IJNT)
Volume 16, Number 7, August, 2020

           Mahadi Ddamulira and   
                   Florian Luca   On the problem of Pillai with
                                  $k$-generalized Fibonacci numbers and
                                  powers of $3$  . . . . . . . . . . . . . 1643--1666


Theoretical Computer Science
Volume 809, Number ??, February 24, 2020

                 Michel Dekking   Morphic words, Beatty sequences and
                                  integer images of the Fibonacci language 407--417


International Journal of Foundations of Computer Science (IJFCS)
Volume 31, Number 05, August, 2020

    Ömer E\ugecio\uglu and   
          Elif Saygì and   
Zülfükar Saygì   $k$-Fibonacci Cubes: A Family of
                                  Subgraphs of Fibonacci Cubes . . . . . . 639--661


American Mathematical Monthly
Volume 127, Number 2, 2020

                 Jesus Guillera   When Ramanujan Meets Fibonacci and Lucas 159--159


Linear Multilinear Algebra
Volume 68, Number 10, 2020

                      Oguz Ogur   Superposition operators on sequence
                                  spaces $ \ell_p(F) $ derived by using
                                  matrix of Fibonacci numbers  . . . . . . 2087--2098


Journal of Number Theory
Volume 212, Number ??, July, 2020

                     Wayne Peng   ABC implies there are infinitely many
                                  non--Fibonacci--Wieferich primes . . . . 354--375


The Mathematical Gazette
Volume 104, Number 559, March, 2020

                Jawad Sadek and   
                  Russell Euler   104.03 On periods of Fibonacci numbers
                                  using modular arithmetic on the Binet
                                  formula  . . . . . . . . . . . . . . . . 150--154

The Mathematical Gazette
Volume 104, Number 561, November, 2020

                Jawad Sadek and   
                  Russell Euler   104.26 Unusual Fibonacci, Lucas and Pell
                                  congruence relations . . . . . . . . . . 507--509


International Journal of Number Theory (IJNT)
Volume 16, Number 09, October, 2020

           Szabolcs Tengely and   
                    MacIej Ulas   The Diophantine equation $ F_n = P(x) $  2095--2111


Designs, Codes, and Cryptography
Volume 88, Number 1, January, 2020

              Xiao-Xin Zhao and   
                Wen-Feng Qi and   
                  Jia-Min Zhang   Further results on the equivalence
                                  between Galois NFSRs and Fibonacci NFSRs 153--171


Linear Algebra and its Applications
Volume 617, Number ??, May 15, 2021

              Enide Andrade and   
     Dante Carrasco-Olivera and   
             Cristina Manzaneda   On circulant like matrices properties
                                  involving Horadam, Fibonacci, Jacobsthal
                                  and Pell numbers . . . . . . . . . . . . 100--120


Annals of Science
Volume 78, Number 1, 2021

                   Norman Biggs   Linear Programming from Fibonacci to
                                  Farkas . . . . . . . . . . . . . . . . . 1--21


Journal of Number Theory
Volume 226, Number ??, September, 2021

              Jhon J. Bravo and   
            Jose L. Herrera and   
                   Florian Luca   Common values of generalized Fibonacci
                                  and Pell sequences . . . . . . . . . . . 51--71


Journal of Number Theory
Volume 225, Number ??, August, 2021

                   Sam Chow and   
                   Tom Slattery   On Fibonacci partitions  . . . . . . . . 310--326


Theoretical Computer Science
Volume 871, Number ??, June 6, 2021

    Ömer E\ugecio\uglu and   
                Elif Sayg\i and   
      Zülfükar Sayg\i   The number of short cycles in Fibonacci
                                  cubes  . . . . . . . . . . . . . . . . . 134--146


Journal of Number Theory
Volume 222, Number ??, May, 2021

     Carlos A. Gómez and   
     Jhonny C. Gómez and   
                   Florian Luca   Two $b$-repunits in the Fibonacci
                                  sequence . . . . . . . . . . . . . . . . 393--422


The Mathematical Gazette
Volume 105, Number 562, March, 2021

               Martin Griffiths   105.01 On some composite Fibonacci
                                  expressions  . . . . . . . . . . . . . . 106--108


American Mathematical Monthly
Volume 128, Number 1, 2021

                    Josh Hiller   Fibonacci's Bunny-pocalypse! . . . . . . 78--78


Reviews of Modern Physics
Volume 93, Number 4, April, 2021

           Anuradha Jagannathan   The Fibonacci quasicrystal: Case study
                                  of hidden dimensions and multifractality 045001


Journal of Number Theory
Volume 220, Number ??, March, 2021

               Salima Kebli and   
                 Omar Kihel and   
               Jesse Larone and   
                   Florian Luca   On the nonnegative integer solutions to
                                  the equation $ F_n \pm F_m = y^a $ . . . 107--127


Journal of Information Security and Applications (JISA)
Volume 61, Number ??, September, 2021

                   Sachin Kumar   Image data security using Quasigroup
                                  combined with Fibonacci Q-transformation ??


International Journal of Number Theory (IJNT)
Volume 17, Number 08, September, 2021

                 Zhixin Liu and   
                   Mengyuan Xue   The sum of a prime and a Fibonacci
                                  number . . . . . . . . . . . . . . . . . 1815--1823


IEEE Transactions on Visualization and Computer Graphics
Volume 27, Number 4, 2021

                 R. Marques and   
                C. Bouville and   
               K. Bouatouch and   
                        J. Blat   Extensible Spherical Fibonacci Grids . . 2341--2354


Theoretical Computer Science
Volume 927, Number ??, August 26, 2022

             Jean-Luc Baril and   
            Sergey Kirgizov and   
             Vincent Vajnovszki   Gray codes for Fibonacci $q$-decreasing
                                  words  . . . . . . . . . . . . . . . . . 120--132


The Mathematical Gazette
Volume 106, Number 567, November, 2022

                  A. F. Beardon   106.33 Fibonacci numbers and Cassini's
                                  identity . . . . . . . . . . . . . . . . 498--501


Journal of Computational Science
Volume 61, May, 2022

   Alireza Etminaniesfahani and   
                   Hanyu Gu and   
                Amir Salehipour   ABFIA: a hybrid algorithm based on
                                  artificial bee colony and Fibonacci
                                  indicator algorithm  . . . . . . . . . . ??


Nuncius
Volume 37, Number 1, February, 2022

                Paolo Freguglia   A New Edition of Leonardo Fibonacci's
                                  \booktitleLiber Abbaci . . . . . . . . . 207--213


The Mathematical Gazette
Volume 106, Number 565, March, 2022

                     Peter Hall   Book Review: \booktitleFibonacci's
                                  rabbits by Adam Hart-Davis, pp. 176,
                                  \pounds 12.99 (paper), ISBN
                                  978-1-912827-03-9, Modern Books (2019)   191--191


Journal of Number Theory
Volume 231, Number ??, February, 2022

                 Kevin Hare and   
                 J. C. Saunders   Generalised Fibonacci sequences
                                  constructed from balanced words  . . . . 349--377


Theoretical Computer Science
Volume 918, Number ??, May 29, 2022

            Marieh Jahannia and   
     Morteza Mohammad-Noori and   
            Narad Rampersad and   
               Manon Stipulanti   Closed Ziv--Lempel factorization of the
                                  $m$-bonacci words  . . . . . . . . . . . 32--47


American Mathematical Monthly
Volume 129, Number 1, 2022

          Mohammad Javaheri and   
              Stephanie Cambrea   The Distribution of Fibonacci Numbers
                                  Modulo Primes  . . . . . . . . . . . . . 75--79


The Mathematical Gazette
Volume 106, Number 565, March, 2022

                   Howard Sporn   Fibonacci Fraction Circles . . . . . . . 1--8

The Mathematical Gazette
Volume 106, Number 566, July, 2022

                   Howard Sporn   Fibonacci--Lucas hyperbolas  . . . . . . 242--246


College Mathematics Journal
Volume 54, Number 4, 2023

             John P. Bonomo and   
                 Montana Ferita   A Small Fib  . . . . . . . . . . . . . . 274--289


American Mathematical Monthly
Volume 130, Number 1, 2023

                      B. He and   
                  Y. L. Mao and   
                A. Togbé   A Fibonacci Version of Wolstenholme's
                                  Harmonic Series Congruence . . . . . . . 83--85


ACM Transactions on Reconfigurable Technology and Systems (TRETS)
Volume 16, Number 3, September, 2023

              Zhengyuan Shi and   
                 Cheng Chen and   
             Gangqiang Yang and   
             Hailiang Xiong and   
                  Fudong Li and   
                Honggang Hu and   
                     Zhiguo Wan   Design Space Exploration of Galois and
                                  Fibonacci Configuration Based on
                                  Espresso Stream Cipher . . . . . . . . . 43:1--43:??


The Mathematical Gazette
Volume 107, Number 568, March, 2023

         Seán M. Stewart   107.01 A simple integral representation
                                  of the Fibonacci numbers . . . . . . . . 120--123


American Mathematical Monthly
Volume 130, Number 8, 2023

             Hans J. H. Tuenter   In Search of Comrade Agronomof: Some
                                  Tribonacci History . . . . . . . . . . . 708--719


Science
Volume 380, Number 6650, June 16, 2023

          Holly-Anne Turner and   
            Matthew Humpage and   
                  Hans Kerp and   
      Alexander J. Hetherington   Leaves and sporangia developed in rare
                                  non-Fibonacci spirals in early leafy
                                  plants . . . . . . . . . . . . . . . . . 1188--1192


Journal of Number Theory
Volume 257, Number ??, April, 2024

                   Sam Chow and   
                     Owen Jones   On the variance of the Fibonacci
                                  partition function . . . . . . . . . . . 341--353
     Jonathan García and   
     Carlos A. Gómez and   
                   Florian Luca   Solving Skolem's problem for the
                                  $k$-generalized Fibonacci sequence with
                                  negative indices . . . . . . . . . . . . 273--299


Linear Multilinear Algebra
Volume 65, Number 12, 2017

                 Anupam Das and   
                 Bipan Hazarika   Some new Fibonacci difference spaces of
                                  non-absolute type and compact operators  2551--2573


The Mathematical Gazette
Volume 101, Number 552, November, 2017

                    Owen Toller   Book Review: \booktitleFinding Fibonacci
                                  by Keith Devlin, pp. 241, \pounds 24.95,
                                  ISBN 978-0-691-17486-0, Princeton
                                  University Press (2017)  . . . . . . . . 569--570
               Martin Griffiths   101.44 On a trivariate Fibonacci
                                  identity . . . . . . . . . . . . . . . . 519--522

The Mathematical Gazette
Volume 101, Number 553, March, 2018

               G. J. O. Jameson   Fibonacci periods and multiples  . . . . 63--76
                    J. A. Scott   102.04 On the series of Fibonacci
                                  reciprocals  . . . . . . . . . . . . . . 100--102