Applications of Fibonacci Numbers

Bergum, G. E.; Philippou, A. N.; Horadam, A. F.

Applications of Fibonacci Numbers

Edited by G. E. Bergum, A. N. Philippou and A. F. Horadam

in Springer Books from Springer

Date: 1991
ISBN: 978-94-011-3586-3
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Chapters in this book:

A Fibonacci-Based Pseudo-Random Number Generator: Peter G. Anderson
On the Proof of GCD and LCM Equalities Concerning the Generalized Binomial and Multinomial Coefficients: Shiro Ando and Daihachiro Sato
Supercube: Joseph Arkin, David C. Arney, Lee S. Dewald and Frank R. Giordano
A Note on Fundamental Properties of Recurring Series: Joseph Arkin, David C. Arney, Frank R. Giordano and Rickey A. Kolb
Period Patterns of Certain Second-Order Linear Recurrences Modulo a Prime: David Banks and Lawrence Somer
Nearly Isosceles Triangles Where the Vertex Angle is a Multiple of the Base Angle: Marjorie Bicknell-Johnson
The Ring of Fibonacci (Fibonacci “Numbers” with Matrix Subscript): Odoardo Brugia, Piero Filipponi and Francesco Mazzarella
One-Relator Products of Cyclic Groups and Fibonacci-Like Sequences: C. M. Campbell, P. M. Heggie, E. F. Robertson and R. M. Thomas
A Generalization of the Fibonacci Search: Renato M. Capocelli
Pascal’s Triangle: Top Gun or Just One of the Gang?: Daniel C. Fielder and Cecil O. Alford
Conversion of Fibonacci Identities into Hyperbolic Identities Valid for an Arbitrary Argument: Piero Filipponi and Herta T. Freitag
Derivative Sequences of Fibonacci and Lucas Polynomials: Piero Filipponi and Alwyn F. Horadam
A Carry Theorem for Rational Binomial Coefficients: Dan Flath and Rhodes Peele
On Co-Related Sequences Involving Generalized Fibonacci Numbers: H. T. Freitag and G. M. Phillips
Fibonacci and B-Adic Trees in Mosaic Graphs: Heiko Harborth and Sabine Jäger
Fibonacci Representations of Graphs: Heiko Harborth and Arnfried Kemnitz
On the Sizes of Elements in the Complement of a Submonoid of Integers: Chung-wu Ho, James L. Parish and Jau-shyong Shiue
Genocchi Polynomials: A. F. Horadam
An Application of Zeckendorf’s Theorem: Roger V. Jean
A New Kind of Golden Triangle: Clark Kimberling
Terms Common to Two Sequences Satisfying the Same Linear Recurrence: Clark Kimberling
Recurrence Relations in Exponential Functions and in Damped Sinusoids and Their Applications in Electronics: Joseph Lahr
Some Basic Properties of the Fibonacci Line-Sequence: Jack Y. Lee
De Moivre-Type Identities for the Tetrabonacci Numbers: Pin-Yen Lin
Two Generalizations of Gould’s Star of David Theorem: Calvin Long and Shiro Ando
On Triangular Lucas Numbers: Ming Luo
A Fast Algorithm of the Chinese Remainder Theorem and ITS Application to Fibonacci Numbers: Kenji Nagasaka, Jau-Shyong Shiue and Chung-Wu Ho
Generating the Pythagorean Triples Via Simple Continued Fractions: A. G. Schaake and J. C. Turner
On the Moebius Knot Tree and Euclid’s Algorithm: A. G. Schaake and J. C. Turner
Generalized Fibonacci and Lucas Factorizations: A. G. Shannon, R. P. Loh and A. F. Horadam
On Even Fibonacci Pseudoprimes: Lawrence Somer
Possible Restricted Periods of Certain Lucas Sequences Modulo P: Lawrence Somer
Using Matrix Techniques to Establish Properties of a Generalized Tribonacci Sequence: Marcellus E. Waddill

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DOI: 10.1007/978-94-011-3586-3

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