Applications of Fibonacci Numbers

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

in Springer Books from Springer

Date: 1988
ISBN: 978-94-015-7801-1
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Chapters in this book:

Fermat-Like Binomial Equations

Heiko Harborth

Recurrences Related to the Bessel Function

F. T. Howard

Symmetric Recursive Sequences Mod M

Kenji Nagasaka and Shiro Ando

Primitive Divisors of Lucas Numbers

Peter Kiss

A Congruence Relation for a Linear Recursive Sequence of Arbitrary Order

H. T. Freitag and G. M. Phillips

Fibonacci Numbers and Groups

Colin M. Campbell, Edmund F. Robertson and Richard M. Thomas

A Triangular Array with Hexagon Property, Dual to Pascal’s Triangle

Shiro Ando

Functions of the Kronecker Square of the Matrix Q

Odoardo Brugia and Piero Filipponi

Fibonacci Numbers of the Forms PX2 ± 1, PX3 ± 1, Where P is Prime

Neville Robbins

On the K-TH Order Linear Recurrence and Some Probability Applications

George N. Philippou

On the Representation of Integral Sequences {Fn/d} and {Ln/d} as Sums of Fibonacci Numbers and as Sums of Lucas Numbers

Herta T. Freitag and Piero Filipponi

Primes Having an Incomplete System of Residues for a Class of Second-Order Recurrences

Lawrence Somer

Covering the Integers with Linear Recurrences

John R. Burke and Gerald E. Bergum

Recursive Theorems for Success Runs and Reliability of Consecutive-K-Out-of-N: F Systems

Andreas N. Philippou

Asveld’s Polynomials pj(n)

A. F. Horadam and A. G. Shannon

More on the Problem of Diophantus

Joseph Arkin and Gerald Bergum

On a Problem of Diophantus

Calvin Long and Gerald Bergum

The Generalized Fibonacci Numbers {Cn}, Cn = Cn-1 + Cn-2 + K

Marjorie Bicknell-Johnson and Gerald E. Bergum

First Failures

Dmitri Thoro

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DOI: 10.1007/978-94-015-7801-1

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