Applications of Fibonacci Numbers

Edited by Frederic T. Howard

in Springer Books from Springer

Date: 2004
ISBN: 978-0-306-48517-6
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Chapters in this book:

Universal Bernoulli Polynomials and P-Adic Congruences

Arnold Adelberg

A Generalization of Durrmeyer-Type Polynomials and their Approximation Properties

Octavian Agratini

Fibinomial Identities

Arthur T. Benjamin, Jennifer J. Quinn and Jeremy A. Rouse

Recounting Binomial Fibonacci Identities

Arthur T. Benjamin and Jeremy A. Rouse

The Fibonacci Diatomic Array Applied to Fibonacci Representations

Marjorie Bicknell-Johnson

On Purple Parrots, Fibonacci Numbers, and Color Theory

Marjorie Bicknell-Johnson

Finding Fibonacci in a Fractal

Nathan C. Blecke, Kirsten Fleming and George William Grossman

Positive Integers (a 2 + b 2)/(ab + 1) are Squares

Jens-P. Bode and Heiko Harborth

On the Fibonacci Length of Powers of Dihedral Groups

C. M. Campbell, P. P. Campbell, H. Doostie and E. F. Robertson

Some Sums Related to Sums of Oresme Numbers

Charles K. Cook

Some Thoughts on Rook Polynomials on Square Chessboards

Dan Fielder

Pythagorean Quadrilaterals

Robert Hochberg and Glenn Hurlbert

A General Lacunary Recurrence Formula

F. T. Howard

Ordering Words and Sets of Numbers: The Fibonacci Case

Clark Kimberling

Some Basic Properties of a Tribonacci Line-Sequence

Jack Y. Lee

A Type of Sequence Constructed from Fibonacci Numbers

Aihua Li and Sindhu Unnithan

Cullen Numbers in Binary Recurrent Sequences

Florian Luca and Pantelimon Stănică

A Generalization of Euler’s Formula and its Connection to Fibonacci Numbers

Jonathan F. Mason and Richard H. Hudson

Extensions of Generalized Binomial Coefficients

Richard L. Ollerton and Anthony G. Shannon

Some Parity Results Regarding t-Core Partitions

Neville Robbins and M. V. Subbarao

Generalized Pell Numbers and Polynomials

A. G. Shannon and A. F. Horadam

A Further Note on Lucasian Numbers

Lawrence Somer

Some Constructions and Theorems in Goldpoint Geometry

John C. Turner

Some Applications of Triangle Transformations in Fibonacci Geometry

John C. Turner

Cryptography and Lucas Sequence Discrete Logarithms

William A. Webb

Divisibility of an F-L Type Convolution

Michael Wiemann and Curtis Cooper

Generating Functions of Convolution Matrices

Yongzhi Yang

F-L Representation of Division of Polynomials over a Ring

Chizhong Zhou and F. T. Howard

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DOI: 10.1007/978-0-306-48517-6

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