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 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 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 4, Number ??, 1949
Volume 17, 1951
Volume 5, Number ??, 1953
Volume 60, Number 10, December, 1953
Volume 63, Number 9, November, 1956
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 21, Number ??, 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
Papers beginning 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 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 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 15, Number 3, 1986
Volume 21, Number 5, May, 1986
Volume 33, Number 2, March, 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 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 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 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 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 57, Number 5, March 11, 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 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 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 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 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 363, Number 2, October 28, 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 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 51, Number 2, May, 2009
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 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 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 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 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 82, Number 9, September, 2012
Volume 437, Number 1, June 15, 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 432, Number 1, May 11, 2012
Volume 53, Number 6, June, 2012
Volume 35, Number 1, March, 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 219, Number 14, March 15, 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 98, Number 542, July, 2014
Volume 121, Number 6, June, 2014
Volume 9, Number 1, 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 122, Number 6, June, 2015
Volume 23, Number 8, August, 2015
Volume 99, Number 544, March, 2015
Volume 475, Number ??, June 15, 2015
Volume 268, Number ??, October 1, 2015
Volume 34, Number 6, November, 2015
Volume 122, Number 7, August, 2015
Volume 69, Number 4, July, 2015
Volume 71, Number 4, April, 2015
Volume 116, Number 5, May, 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 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 134, Number ??, June, 2018
Volume 140, Number ??, December, 2018
Volume 325, Number ??, May 15, 2018
Volume 33, Number 2, 2018
Volume 339, Number ??, December 15, 2018
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 . . . . . . . . . . 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 The 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