Applications of Fibonacci Numbers

Table of Contents

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   Book Overview
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   Chapter 1 Universal Bernoulli Polynomials and P-Adic Congruences
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   Chapter 2 A Generalization of Durrmeyer-Type Polynomials and their Approximation Properties
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   Chapter 3 Fibinomial Identities
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   Chapter 4 Recounting Binomial Fibonacci Identities
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   Chapter 5 The Fibonacci Diatomic Array Applied to Fibonacci Representations
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   Chapter 6 On Purple Parrots, Fibonacci Numbers, and Color Theory
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   Chapter 7 Finding Fibonacci in a Fractal
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   Chapter 8 Positive Integers ( a 2 + b 2 )/( ab + 1) are Squares
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    Chapter 9 On the Fibonacci Length of Powers of Dihedral Groups
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    Chapter 10 Some Sums Related to Sums of Oresme Numbers
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    Chapter 11 Some Thoughts on Rook Polynomials on Square Chessboards
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    Chapter 12 Pythagorean Quadrilaterals
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    Chapter 13 A General Lacunary Recurrence Formula
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    Chapter 14 Ordering Words and Sets of Numbers: The Fibonacci Case
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    Chapter 15 Some Basic Properties of a Tribonacci Line-Sequence
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    Chapter 16 A Type of Sequence Constructed from Fibonacci Numbers
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    Chapter 17 Cullen Numbers in Binary Recurrent Sequences
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    Chapter 18 A Generalization of Euler’s Formula and its Connection to Fibonacci Numbers
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    Chapter 19 Extensions of Generalized Binomial Coefficients
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    Chapter 20 Some Parity Results Regarding t -Core Partitions
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    Chapter 21 Generalized Pell Numbers and Polynomials
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    Chapter 22 A Further Note on Lucasian Numbers
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    Chapter 23 Some Constructions and Theorems in Goldpoint Geometry
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    Chapter 24 Some Applications of Triangle Transformations in Fibonacci Geometry
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    Chapter 25 Cryptography and Lucas Sequence Discrete Logarithms
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    Chapter 26 Divisibility of an F-L Type Convolution
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    Chapter 27 Generating Functions of Convolution Matrices
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    Chapter 28 F-L Representation of Division of Polynomials over a Ring