Applications of Fibonacci Numbers

ISBN-10: 1402019386

ISBN-13: 9781402019388

Edition: 2004

List price: $138.00
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Book details

List price: $138.00
Copyright year: 2004
Publisher: Springer London, Limited
Publication date: 3/31/2004
Binding: Hardcover
Pages: 311
Size: 6.50" wide x 9.50" long x 0.75" tall
Weight: 1.496
Language: English

A report on the tenth international conference
Authors, coauthors and other conference participants
Foreword
The organizing committees
List of contributors to the conference
Introduction
Fibonacci, Vern and Dan
Universal Bernoulli polynomials and P-adic congruences
A generalization of Durrmeyer-type polynomials and their approximation properties
Fibinomial identities
Recounting binomial Fibonacci identities
The Fibonacci diatomic array applied to Fibonacci representations
On purple parrots, Fibonacci numbers, and color theory
Finding Fibonacci in a fractal
Positive integers (a[superscript 2] + b[superscript 2])/(ab + 1) are squares
On the Fibonacci length of powers of dihedral groups
Some sums related to sums of Oresme numbers
Some thoughts on rook polynomials on square chessboards
Pythagorean quadrilaterals
A general lacunary recurrence formula
Ordering words and sets of numbers : the Fibonacci case
Some basic properties of a Tribonacci line-sequence
A type of sequence constructed from Fibonacci numbers
Cullen numbers in binary recurrent sequences
A generalization of Euler's formula and its connection to Fibonacci numbers
Extensions of generalized binomial coefficients
Some parity results regarding t-core partitions
Generalized Pell numbers and polynomials
A further note on Lucasian numbers
Some constructions and theorems in Goldpoint geometry
Some applications of triangle transformations in Fibonacci geometry
Cryptography and Lucas sequence discrete logarithms
Divisibility of an F-L type convolution
Generating functions of convolution matrices
F-L representation of division of polynomials over a ring
Subject Index
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