Results 11 to 20 of about 2,413 (223)

The k –Fibonacci difference sequences

Chaos, Solitons and Fractals, 2016
In this paper we apply the concept of difference relation to the sequences of k-Fibonacci numbers. We will obtain general formulas to find any term of the ith k-Fibonacci difference sequence from the initial k-Fibonacci numbers. We also find formulas for
Sérgio Falcon
exaly   +4 more sources

Generalization of the Distance Fibonacci Sequences

Axioms
In this study, we introduced a generalization of distance Fibonacci sequences and investigate some of its basic properties. We then proposed a generalization of distance Fibonacci sequences for negative integers and investigated some basic properties ...
Nur Şeyma Yilmaz, Andrej Włoch, Engin Özkan   +2 more
doaj   +4 more sources

The Polytopic-k-Step Fibonacci Sequences in Finite Groups [PDF]

Discrete Dynamics in Nature and Society, 2011
We study the polytopic-k-step Fibonacci sequences, the polytopic-k-step Fibonacci sequences modulo m, and the polytopic-k-step Fibonacci sequences in finite groups.
Ömür Deveci
doaj   +2 more sources

Fibonacci sequences in groupoids [PDF]

Advances in Difference Equations, 2012
In this article, we consider several properties of Fibonacci sequences in arbitrary groupoids (i.e., binary systems). Such sequences can be defined in a left-hand way and a right-hand way.
Jeong Soon Han, Han, Jeong Soon, Kim, Hee Sik, Hee Sik Kim, Joseph Neggers, Neggers, Joseph   +5 more
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Generalized Fibonacci sequences in groupoids [PDF]

Advances in Difference Equations, 2013
In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents.
J Neggers, Hee Kim, So, Keum Sook, Keum So, Kim, Hee Sik, Neggers, J., Hee Kim   +6 more
core   +3 more sources

The quaternion-type cyclic-Fibonacci sequences in groups [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
In this paper, we define the six different quaternion-type cyclic-Fibonacci sequences and present some properties, such as, the Cassini formula and generating function. Then, we study quaternion-type cyclic-Fibonacci sequences modulo m.
Nazmiye Yilmaz, Esra Kırmızı Çetinalp, Ömür Deveci   +2 more
doaj   +1 more source

Elementary sequences, sub-Fibonacci sequences

Discrete Applied Mathematics, 1993
Recent research in uniqueness of representability for finite measurement structures has identified a number of novel finite integer sequences. One of the simplest, called an elementary sequence, is a nondecreasing integer sequence x1,x2,…,xn with x1=x2=1
Fishburn, Peter C., Peter C. Fishburn, Roberts, Fred S., Fred S. Roberts   +3 more
core   +2 more sources

The complex-type cyclic-Fibonacci sequence and its applications [PDF]

Journal of Mahani Mathematical Research, 2023
In the present paper, we aim to generalize the notion of complex-type Fibonacci sequences to complex-type cyclic Fibonacci sequences. Firstly, we define the complex-type cyclic-Fibonacci sequence and then we give miscellaneous  properties of this ...
Ömür Deveci, Özgür Erdağ, Uğur Güngoz   +2 more
doaj   +1 more source

Bi-Periodic (p,q)-Fibonacci and Bi-Periodic (p,q)-Lucas Sequences

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
In this paper, we define bi-periodic (p,q)-Fibonacci and bi-periodic (p,q)-Lucas sequences, which generalize Fibonacci type, Lucas type, bi-periodic Fibonacci type and bi-periodic Lucas type sequences, using recurrence relations of (p,q)-Fibonacci and (p,
Yasemin Taşyurdu, Naime Şeyda Türkoğlu   +1 more
doaj   +1 more source

On Third-Order Bronze Fibonacci Numbers

Mathematics, 2021
In this study, we firstly obtain De Moivre-type identities for the second-order Bronze Fibonacci sequences. Next, we construct and define the third-order Bronze Fibonacci, third-order Bronze Lucas and modified third-order Bronze Fibonacci sequences. Then,
Mücahit Akbiyik, Jeta Alo
doaj   +1 more source