Applications of Fibonacci Numbers

Howard, Fredric T.

Applications of Fibonacci Numbers

Edited by Fredric T. Howard

in Springer Books from Springer

Date: 1999
ISBN: 978-94-011-4271-7
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Chapters in this book:

On the Generalized Binomial Coefficients Defined by Strong Divisibility Sequences: Shiro Ando and Daihachiro Sato
On Triangles and Squares Marked with Goldpoints—Studies of Golden Tiles: Vassia K. Anatassova and J. C. Turner
Multivariate Pascal Polynomials of Order K with Probability Applications: Demetrios L. Antzoulakos and Andreas N. Philippou
Fibonacci Planes and Spaces: K. T. Atanassov and A. G. Shannon
The Smallest Positive Integer Having Fk Representations as Sums of Distinct Fibonacci Numbers: Marjorie Bicknell-Johnson
The Zeckendorf-Wythoff Array Applied to Counting the Number of Representations of N as Sums of Distinct Fibonacci Numbers: Marjorie Bicknell-Johnson
Composing with Sequences: …But is It Art?: John A. Biles
Invariants for Linear Recurrences: Mihai Caragiu and William Webb
Base 10 RATS Cycles and Arbitrarily Long Base 10 RATS Cycles: Curtis Cooper and Robert E. Kennedy
Quintics x5-5x-k, the Golden Section, and Square Lucas Numbers: Michele Elia and Piero Filipponi
The Pascal-De Moivre Moments and Their Generating Functions: Larry Ericksen
Investigating Special Binary Sequences with Some Computer Help: Daniel C. Fielder and Cecil O. Alford
Integration Sequences of Jacobsthal and Jacobsthal-Lucas Polynomials: Piero Filipponi and Alwyn F. Horadam
A Property of the Unit Digits of Recursive Sequences: Herta T. Freitag, Marjorie Bicknell-Johnson and George M. Phillips
On General Divisibility of Sums of Integral Powers of the Golden Ratio: Herta T. Freitag and Daniel C. Fielder
Sylvester’s Algorithm and Fibonacci Numbers: Herta T. Freitag and George M. Phillips
On the Characteristic Polynomial of the j-TH Order Fibonacci Sequence: George W. Grossman and Sivaram K. Narayan
Quasi Morgan-Voyce Polynomials and Pell Convolutions: A. F. Horadam
On an Asymptotic Maximality of the Fibonacci Tree: Yasuichi Horibe
Generalizations of a Fibonacci Identity: F. T. Howard
Some Generalizations of Wolstenholme’s Theorem: William A. Kimball and William A. Webb
Card Sorting Related to Fibonacci Numbers: Clark Kimberling
On the Inhomogeneous Geometric Line-Sequence: Jack Lee
Fibonacci Numbers of the Form k2+k+2: Florian Luca
On Certain Polynomials of Even Subscripted Lucas Numbers: R. S. Melham
On the Rank of Appearance of Lucas Sequences: Siguna Müller
Algorithmic Simplification of Reciprocal Sums: Stanley Rabinowitz
Solved and Unsolved Problems on Pseudoprime Numbers and Their Generalizations: Andrzej Rotkiewicz
Some Relationships among Vieta, Morgan-Voyce and Jacobsthal Polynomials: A. G. Shannon and A. F. Horadam
Special Multipliers of Lucas Sequences Modulo pr: Lawrence Somer
Digital Halftoning Using Error Diffusion and Linear Pixel Shuffling: John Szybist and Peter G. Anderson
On Vector Sequence Recurrence Equations in Fibonacci Vector Geometry: J. C. Turner
Constructing Identities Involving Kth-Order F-L Numbers by Using the Characteristic Polynomial: Chizhong Zhou

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DOI: 10.1007/978-94-011-4271-7

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