Results 81 to 90 of about 1,500 (185)

A promising approach using Fibonacci sequence-based optimization algorithms and advanced computing. [PDF]

Sci Rep, 2023
Tran-Ngoc H, Le-Xuan T, Khatir S, De Roeck G, Bui-Tien T, Abdel Wahab M.   +5 more
europepmc   +1 more source

On the connections between Fibonacci and Mulatu Numbers

Intermaths
In this work, we present a detailed study of the Fibonacci--Mulatu sequence, {FMn}, defined recursively by FMn+2=FMn+1+FMn with initial terms FM0 = 4 and FM1 = 1.
Eudes Antonio Costa, Élis Gardel da Costa Mesquita, Paula M. M. C. Catarino   +2 more
doaj   +1 more source

On Period of the Sequence of Fibonacci Polynomials Modulo

Discrete Dynamics in Nature and Society, 2013
It is shown that the sequence obtained by reducing modulo coefficient and exponent of each Fibonacci polynomials term is periodic. Also if is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according ...
İnci Gültekin, Yasemin Taşyurdu
doaj   +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   +3 more sources

On the pulsating (m,c)-Fibonacci sequence. [PDF]

Heliyon, 2021
Laipaporn K, Phibul K, Khachorncharoenkul P.   +2 more
europepmc   +1 more source

A class of Fibonacci-type sequences

Discrete Mathematics, 1974
Let \(\{L_n : n\ge 1\}\) be a sequence of the form \[ L_n= \min\left( \sum_{j=1}^p L_{n-a_j}\quad (n>e),\quad \sum_{j=1}^q L_{n-b_j}\quad (n>e)\right), \] where \(\{a_j\}\) and \(\{b_j\}\) are positive integers, and \(e = \max_{i,j} \{a_i ,b_j\}\). A necessary and sufficient condition on the integers \(\{a_j\}\) and \(\{b_j\}\) is given so that, for ...
openaire   +1 more source

A Family of Fibonacci-Like Sequences

The Fibonacci Quarterly, 1987
We consider the recurrence relation $G_n = G_{n-1} + G_{n-2} + \sum_{j=0}^k \alpha_j n^j$, where $G_0 = G_1 = 1$, and we express $G_n$ in terms of the Fibonacci numbers $F_n$ and $F_{n-1}$, and in the parameters $\alpha_1,\ldots,\alpha_k$.
openaire   +2 more sources

Fibonacci-Ishikawa iterative method in modular spaces for asymptotically non-expansive monotonic mathematical operators

Journal of Inequalities and Applications
In the context of modular function spaces, we propose and investigate the Fibonacci-Ishikawa iteration method applied to non-expansive, asymptotically monotonic mathematical operators.
Anita Tomar, Khairul Habib Alam, Mohammad Sajid, Yumnam Rohen, S. Surendra Singh   +4 more
doaj   +1 more source

IDENTITIES FOR MULTIPLICATIVE COUPLED FIBONACCI SEQUENCES OF RTH ORDER

Journal of New Theory, 2017
Abstaract−Many author studied coupled Fibonacci sequences and multiplicative coupled Fi- bonacci sequences of lower order two, three and four etc. In this paper we defined multiplicative coupled Fibonacci Sequences of rthorder under 2rdifferent schemes ...
Ashok Dnyandeo Godase, Macchindra Dhakne
doaj  

On Types of Distance Fibonacci Numbers Generated by Number Decompositions

Journal of Applied Mathematics, 2014
We introduce new types of distance Fibonacci numbers which are closely related with number decompositions. Using special decompositions of the number n we give a sequence of identities for them.
Anetta Szynal-Liana, Andrzej Włoch, Iwona Włoch   +2 more
doaj   +1 more source