Bibliography

1

J. Arkin and V. E. Hoggatt, Jr.: An Extension of the Fibonacci Numbers (Part II), The Fibonacci Quarterly ${\bold 8}$ (1970),199-216

2

M. Bicknell: A Primer for the Fibonacci Numbers (Part VIII), The Fibonacci Quarterly ${\bold 9}$ (1971),74-81

3

H. W. Gould: The Girard-Waring Power Sum Formulas for Symmetric Functions and Fibonacci Sequences, The Fibonacci Quarterly ${\bold {37,2}}\$(1999),135-140

4

W. Lang: On Sums of Powers of Zeros of Polynomials, Journal of Computational and Applied Mathematics ${\bold {89}}\$(1998),237-256

5

N.J.A. Sloane and S. Plouffe: The Encyclopedia of Integer Sequences, Academic Press, San Diego, 1995; see also N.J.A. Sloane's On-Line Encyclopedia of Integer Sequences, http//:www.research.att.com/ ${\ \tilde{}}\$njas/sequences/index.html

6

L. Turban: Lattice animals on a staircase and generalized Fibonacci numbers, Henri Poincaré Université, Nancy, France, preprint, May 2000 and http://xxx.lanl.gov/form/cond-mat/0106595.

7

S. Vajda: Fibonacci & Lucas Numbers, and the Golden Section, Ellis and Horwood Ltd., Chichester, 1989

8

W. Walter: Ordinary differential equations, Springer, New York-Berlin-Heidelberg, 1998

9

G. N. Watson: A Treatise on the Theory of Bessel Functions, 2nd ed., Cambridge University Press, Cambridge, 1958

AMS MSC numbers: 11B83, 11B38, 11C08