Results 91 to 100 of about 879,292 (211)

SOME COMBINATORIAL ASPECTS OF BI-PERIODIC INCOMPLETE HORADAM SEQUENCES

, 2022
20th International Conference on Fibonacci Numbers and Their Applications -- JUL 25-29, 2022 -- Univ Sarajevo, BOSNIA & HERCEGWe have recently introduced the bi-periodic incomplete Horadam numbers as a generalization of incomplete Horadam numbers, and ...
Tan, Elif, Belkhir, Amine, Dagli, Mehmet
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A New Notion of Convergence Defined by The Fibonacci Sequence: A Novel Framework and Its Tauberian Conditions

Mathematics
The Fibonacci sequence has broad applications in mathematics, where its inherent patterns and properties are utilized to solve various problems. The sequence often emerges in areas involving growth patterns, series, and recursive relationships.
Ibrahim S. Ibrahim, María C. Listán-García   +1 more
doaj   +1 more source

k–step Fibonacci sequences and Fibonacci matrices

, 2017
In this paper, the powers of the Fibonacci matrices are investigated and closed formulas for their entries are derived, related to the suitable terms of the k− step Fibonacci sequences in order to develop the properties of the irreducibility and ...
Adam M., Assimakis N.
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Generalizing Random Fibonacci Sequences [PDF]

, 2023
We consider generalized Fibonacci sequences with recurrencerelation xn+p+1 = xn+p + xn, which have growth rates of the formlimn→∞ |xn|1/n that behave similarly to the golden ratio, (1 + √5)/2.Following Makover and McGowan’s analysis of the random ...
Sansgiry, Prashant, Foster, Alexander, Duncan, Ogul, Duncan, David   +3 more
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On the Fibonacci and the Generalized Fibonacci Sequence

Journal of Nepal Mathematical Society
Fibonacci numbers and their sequence are found abundantly in nature. There is a close relation among the Golden, Fibonacci, and Lucas ratios. Such ratios are inherent to design, architecture, construction, and even to the beauty of different natural and manmade solid objects.
openaire   +1 more source

Binary sequences meet the Fibonacci sequence

Advances in Applied Mathematics
20 pages, 3 ...
Piotr Miska, Bartosz Sobolewski, Maciej Ulas   +2 more
openaire   +4 more sources

A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence

Discrete Dynamics in Nature and Society, 2013
We give divisibility properties of the generalized Fibonacci sequence by matrix methods. We also present new recursive identities for the generalized Fibonacci and Lucas sequences.
Aynur Yalçiner
doaj   +1 more source

New summation identities of hyperbolic k-Fibonacci and k-Lucas quaternions [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we introduce a set of identities involving hyperbolic k-Fibonacci quaternions and k-Lucas quaternions. Moreover, we derive summation identities for hyperbolic k-Fibonacci and k-Lucas quaternions by utilizing established properties of k ...
A. D. Godase
doaj   +1 more source

Another six Fibonacci-like sequences [PDF]

Notes on Number Theory and Discrete Mathematics
We briefly describe six Fibonacci-like sequences or arbitrary order that give rise to a periodic or eventually periodic sequences. We provide some examples and demonstrate the explicit periods of these sequences.
Karol Gryszka
doaj   +1 more source

On the number of complex horadam sequences with a fixed period

, 2013
The Horadam sequence is a direct generalization of the Fibonacci numbers in the complex plane, depending on a family of four complex parameters: two recurrence coefficients and two initial conditions.
Larcombe, Peter J., Bagdasar, Ovidiu
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