Applications of Fibonacci Numbers

Bergum, Gerald E.; Philippou, Andreas N.; Horadam, Alwyn F.

Applications of Fibonacci Numbers

Edited by Gerald E. Bergum, Andreas N. Philippou and Alwyn F. Horadam

in Springer Books from Springer

Date: 1996
ISBN: 978-94-009-0223-7
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Chapters in this book:

Advances in Linear Pixel Shuffling: Peter G. Anderson
Minimal Center Covering Stars with Respect to LCM in Pascal’s Pyramid and its Generalizations: Shiro Ando and Daihachiro Sato
Multiple Color Version of the Star of David Theorems on Pascal’s Triangle and Related Arrays of Numbers: Shiro Ando and Daihachiro Sato
Some Remarks on the Distribution of Second Order Recurrences and a Related Group Structure: John R. Burke
Matrices, Recurrent Sequences and Arithmetic: Umberto Cerruti and Francesco Vaccarino
Vector Linear Recurrence Sequences in Commutative Rings: Umberto Cerruti and Francesco Vaccarino
Subwords of the Golden Sequence and the Fibonacci Words: Wai-fong Chuan
Interesting Arrays Associated with Fibonacci Sequences: M. N. Deshpande and G. E. Bergum
More Applications of a Partition Driven Symmetric Table: Daniel C. Fielder and Cecil O. Alford
Partial Derivative Sequences of Second-Order Recurrence Polynomials: Piero Filipponi and Alwyn F. Horadam
The Zeckendorf Decomposition of Certain Classes of Integers: Piero Filipponi and Herta T. Freitag
On the Sum of Consecutive Squares: H. T. Freitag and G. M. Phillips
Rado Numbers for Fibonacci Sequences and a Problem of S. Rabinowitz: Heiko Harborth and Silke Maasberg
Rooks on Fibonacci Boards: Heiko Harborth and Lothar Piepmeyer
Tiling with Cuisenaire Rods: E. O. Hare and P. Z. Chinn
Hofstadter’s Conjecture for $$\alpha = \sqrt 2 - 1$$: Russell Jay Hendel
Recursive Properties of Trigonometric Products: Russell Jay Hendel and Charles K. Cook
A Synthesis of Certain Polynomial Sequences: A. F. Horadam
Minmax Sequences for Pell Numbers: A. F. Horadam
On Dichotomous Complexity of the Fibonacci Tree: Yasuichi Horibe
Formulas of Ramanujan Involving Lucas Numbers, Pell Numbers, and Bernoulli Numbers: Fred T. Howard
Counting Sets of Integers with Various Summation Properties: Derek Jennings
Factorials & Binomial Coefficients in Polynomial Rings Over Finite Fields: William A. Kimball
An Identity Involving the q-Factorial: Z. F. Koçak and G. M. Phillips
GCD Properties of an Octagon: Ed Korntved
Products and Quotients of Difference Equations: Joseph Lahr
The Wythoff and the Zeckendorf Representations of Numbers are Equivalent: Wolfdieter Lang
Some Basic Translational Properties of the General Fibonacci Line-Sequence: Jack Y. Lee
Pentagonal Numbers in the Fibonacci Sequence: Ming Luo
On Reciprocal Sums of Second Order Sequences: R. S. Melham and A. G. Shannon
Solving Linear Recurrences from Differential Equations in the Exponential Manner and Vice Versa: Walter Oberschelp
The Rational Heart of the Integer Fibonacci Pentagons: Blake E. Peterson and James H. Jordan
Algorithmic Manipulation of Fibonacci Identities: Stanley Rabinowitz
On Lucas Pseudoprimes of the Form ax 2 + bxy + cy 2: A. Rotkiewicz
N Certain Rational Expressions whose Prime Divisors are Cubic Residues (Mod P): Ken-ichi Sato and Susumu Shirai
A Search for Solutions of a Functional Equation: A. G. Shannon, R. P. Loh, R. S. Melham and A. F. Horadam
A Use of Generalized Fibonacci Numbers in Finding Quadratic Factors: A. G. Shannon, Irving C. Tang and R. L. Ollerton
Distribution of Residues of Certain Second-Order Linear Recurrences Modulo p-III: Lawrence Somer
Divisibility of Terms in Lucas Sequences of the Second Kind by Their Subscripts: Lawrence Somer
On a Model of the Modular Group: J. C. Turner and A. G. Schaake
Properties of a k-Order Linear Recursive Sequence Modulo m: Marcellus E. Waddill
Residue Counts Modulo Three for the Fibonacci Triangle: Diana L. Wells
On a Class of Congruences for Lucas Sequences: Paul Thomas Young

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DOI: 10.1007/978-94-009-0223-7

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