Results 101 to 110 of about 2,413 (223)

Closed forms for finite sums of weighted products of generalized Fibonacci numbers [PDF]

, 2017
In this paper, we present closed forms for certain finite sums of weighted products of generalized Fibonacci numbers. Indeed, we present seven multi-parameter families of such finite sums, all of which we believe to be new. In each of these families, the
Melham, RS
core  

On doubled and quadrupled Fibonacci type sequences

, 2023
In this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Włoch, Andrzej, Strzałka, Dominik, Yilmaz, Nur Şeyma, Özkan, Engin   +3 more
core  

Generalized Finite-Length Fibonacci Sequences in Healthy and Pathological Human Walking: Comprehensively Assessing Recursivity, Asymmetry, Consistency, Self-Similarity, and Variability of Gaits. [PDF]

Front Hum Neurosci, 2021
Verrelli CM, Iosa M, Roselli P, Pisani A, Giannini F, Saggio G.   +5 more
europepmc   +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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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

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

Generalized Fibonacci Sequences

, 2012
The Fibonacci sequence is famous for possessing wonderful and amazing properties. In this paper, we introduce generalized Fibonacci sequences and related identities consisting even and odd terms.
V K Gupta, Omprakash Sikhwal, Yashwant K Panwar   +2 more
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Binary sequences meet the Fibonacci sequence

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

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