Applications of Fibonacci Numbers Volume 7 [Hardcover]

Proceedings of `The Seventh International Research Conference on Fibonacci Numbers and Their Applications', Technische Universit?t, Graz, Austria, July 15-19, 1996Higher Order Bernoulli Polynomials and Newton Polygons; A. Adelberg. The Fibonacci Shuffle Tree; P.G. Anderson. On the Period of Sequences Modulo a Prime Satisfying a Second Order Recurrence; S. Ando. Generalizations to Large Hexagons of the Star of David Theorem with Respect to GCD; S. Ando, et al. Longest Success and Failure Runs and New Polynomials Related to the Fibonacci-Type Polynomials of Order K; D.L. Antzoulakos, A.N. Philippou. A Note on a Representation Conjecture by Hoggatt; M. Bicknell-Johnson. Some Remarks on the Distribution of Subsequences of Second Order Linear Recurrences; J.R. Burke. A Criterion for Stability of Two-Term Recurrence Sequences Modulo Odd Primes; W. Carlip, et al. A Problem of Diophantus and Pell Numbers; A. Dujella. On the Exceptional Set in the Problem of Diophantus and Davenport; A. Dujella. Substitutive Numeration Systems and a Combinatorial Problem; J.-M. Dumont. A Note on Derived Linear Recurring Sequences; M. Elia. Observations from Computer Experiments on an Integer Equation; D.C. Fielder, C.O. Alford. Some Probabilistic Aspects of the Zeckendorf Decomposition of Integers; P. Filipponi, H.T. Freitag. First Derivative Sequences of Extended Fibonacci and Lucas Polynomials; P. Filipponi, A.F. Horadam. Elements of Zeckendorf Arithmetic; H.T. Freitag, G.M. Phillips. Binomial Coefficients Generalized with Respect to a Discrete Valuation; S. Frisch. The Dying Fibonacci Tree; B. Gittenberger. Smallest Integral Combinatorial Box; H. Harborth, M. M?ller. New Aspects of Morgan-Voyce Polynomials; A.F. Horadam. Growing a Self-Similar Tree; Y. Horibe. Lacunary Sums of Binomial Coefficients; F.T. Howard, R. Witt. Some Reciprocal Summation Identities with Applications to the Fibonacci and LucasNumbers; D. Jennings. A Relative Rank Function on Sets of l3R