1998

Applications of Fibonacci Numbers

Volume 7

Editors:

ISBN: 978-94-010-6107-0 (Print) 978-94-011-5020-0 (Online)

Table of contents (50 chapters)

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  1. Front Matter

    Pages i-xxxvi

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    Book Chapter

    Pages 1-8

    Higher Order Bernoulli Polynomials and Newton Polygons

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    Book Chapter

    Pages 9-16

    The Fibonacci Shuffle Tree

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    Book Chapter

    Pages 17-22

    On The Period of Sequences Modulo a Prime Satisfying A Second order Recurrence

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    Book Chapter

    Pages 23-28

    Generalizations to Large Hexagons of The Star of David Theorem with Respect to Gcd

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    Book Chapter

    Pages 29-38

    Longest Success and Failure Runs and New Polynomials Related to The Fibonacci-Type Polynomials of Order k

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    Book Chapter

    Pages 39-42

    A Note on a Representation Conjecture By Hoggatt

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    Book Chapter

    Pages 43-47

    Some Remarks on The Distribution of Subsequences of Second Order Linear Recurrences

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    Book Chapter

    Pages 49-60

    A Criterion For Stability of Two-Term Recurrence Sequences Modulo Odd Primes

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    Book Chapter

    Pages 61-68

    A Problem of Diophantus and Pell Numbers

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    Book Chapter

    Pages 69-76

    On the Exceptional Set in the Problem of Diophantus and Davenport

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    Book Chapter

    Pages 77-82

    Substitutive Numeration Systems and A Combinatorial Problem

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    Book Chapter

    Pages 83-92

    A Note on Derived Linear Recurring Sequences*

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    Book Chapter

    Pages 93-103

    Observations from Computer Experiments on An Integer Equation

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    Book Chapter

    Pages 105-114

    Some Probabilistic Aspects of the Zeckendorf Decomposition of Integers

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    Book Chapter

    Pages 115-128

    First Derivative Sequences of Extended Fibonacci and Lucas Polynomials

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    Book Chapter

    Pages 129-132

    Elements of Zeckendorf Arithmetic

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    Book Chapter

    Pages 133-144

    Binomial Coefficients Generalized with Respect to a Discrete Valuation

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    Book Chapter

    Pages 145-152

    The Dying Fibonacci Tree

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    Book Chapter

    Pages 153-159

    Smallest Integral Combinatorial Box

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    Book Chapter

    Pages 161-176

    New Aspects of Morgan-Voyce Polynomials

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