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: 1990
ISBN: 978-94-009-1910-5
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Chapters in this book:

The Role of the Fibonacci Sequence in the Isolation of the Real Roots of Polynomial Equations: A. G. Akritas and P. G. Bradford
A GCD Property on Pascal’s Pyramid and the Corresponding LCM Property of the Modified Pascal Pyramid: Shiro Ando and Daihachiro Sato
Translatable and Rotatable Configurations which Give Equal Product, Equal GCD and Equal LCM Properties Simultaneously: Shiro Ando and Daihachiro Sato
Fibonacci Length of Generating Pairs in Groups: C. M. Campbell, H. Doostie and E. F. Robertson
A Generalization of Fibonacci Trees: Renato M. Capocelli
Generalized Fibonacci Numbers are Rounded Powers: Renato M. Capocelli and Paul Cull
On Generalized Fibonacci Numbers of Graphs: Michael Drmota
An Investigation of Sequences Derived from Hoggatt Sums and Hoggatt Triangles: Daniel C. Fielder and Cecil O. Alford
Representation of Natural Numbers as Sums of Fibonacci Numbers: An Application to Modern Cryptography: Piero Filipponi and Emilio Montolivo
A Note on Ramifications Concerning the Construction of Pythagorean Triples from Recursive Sequences: Herta T. Freitag
On the Representation of {F kn /F n }, {F kn /L n }, {L kn /L n }, and {L kn /F n } as Zeckendorf Sums: Herta T. Freitag
Functional Recurrences: Krystyna Grytczuk and Aleksander Grytczuk
Concentric Cycles in Mosaic Graphs: Heiko Harborth
Fibonacci Triangles: Heiko Harborth and Arnfried Kemnitz
Mosaic Numbers of Fibonacci Trees: Heiko Harborth and Sabine Lohmann
Falling Factorial Polynomials of Generalized Fibonacci Type: A. F. Horadam
Some Notes on Fibonacci Binary Sequences: Yasuichi Horibe
Congruences for Weighted and Degenerate Stirling Numbers: F. T. Howard
An Inverse Theorem on Fibonacci Numbers: Naotaka Imada
Some Results on Divisibility Sequences: Norbert Jensen
On Mental Calculation of Repeating Decimals, Finding Fibonacci Numbers and a Connection to Pascal’s Triangle: Marjorie Bicknell-Johnson
Diophantine Representation of Fibonacci Numbers Over Natural Numbers: James P. Jones
On Prime Divisors of the Terms of Second Order Linear Recurrence Sequences: Peter Kiss
An Alternating Product Representation for Real Numbers: Arnold Knopfmacher and John Knopfmacher
Maximum Length of the Euclidean Algorithm and Continued Fractions in F(X): Arnold Knopfmacher and John Knopfmacher
Recurrence Relations in Sinusoids and Their Applications to Spectral Analysis and to the Resolution of Algebraic Equations: Joseph Lahr
A Recurrence Relation for Gaussian Multinomial Coefficients: S. L. Lee and G. M. Phillips
Some Binomial Fibonacci Identities: Calvin T. Long
A Survey of Properties of Third Order Pell Diagonal Functions: Br. J. M. Mahon and A. F. Horadam
Multivariate Fibonacci Polynomials of Order K and the Multiparameter Negative Binomial Distribution of the Same Order: Andreas N. Philippou and Demetris L. Antzoulakos
Longest Circular Runs with an Application in Reliability Via the Fibonacci-Type Polynomials of Order K: Andreas N. Philippou and Frosso S. Makri
Fibonacci Numbers and an Algorithm of Lemoine and Kátai: Jukka Pihko
Generalizations of Sequences of Lucas and Bell: A. G. Shannon and A. F. Horadam
Distribution of Residues of Certain Second-Order Linear Recurrences Modulo P: Lawrence Somer
The Fibonacci Tree, Hofstadter and the Golden String: Keith Tognetti, Graham Winley and Tony van Ravenstein
Three Number Trees - Their Growth Rules and Related Number Properties: J. C. Turner

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DOI: 10.1007/978-94-009-1910-5

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