Results 91 to 100 of about 24,784 (197)

Exploring Generalized $2^k$-Fibonacci Sequence: A New Family of the Fibonacci Sequence

Communications in Advanced Mathematical Sciences
The focus of this paper is to study the $2^k$–Fibonacci sequence, which is defined for all integers $2^k$, and its connections with both the Fibonacci and the Fibonacci-Lucas sequences.
Elis Gardel Costa Mesquista, Eudes Antonio Costa, Paula Maria Machado Cruz 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

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

New Fibonacci-type pulsated sequences. Part 2 [PDF]

Notes on Number Theory and Discrete Mathematics
A new Fibonacci sequence from a pulsated type is introduced. The explicit form of its members is given.
Lilija Atanassova, Velin Andonov
doaj   +1 more source

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

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

Elementary sequences, sub-Fibonacci sequences

Discrete Applied Mathematics, 1993
A nondecreasing integer sequence \(x_ 1,x_ 2,\dots,x_ k\) with \(x_ 1=x_ 2=1\) and \(n \geq 2\) is said to be elementary if for all \(k \leq n\) \((x_ k>1 \Rightarrow x_ k=x_ i+x_ j\) for some \(i \neq j)\) and sub- Fibonacci if for all \(k \in \{3,\dots,n\}\) \((x_ k \leq x_{k-1}+x_{k- 2})\).
Fishburn, Peter C., Roberts, Fred S.
openaire   +1 more source

(±1)-Invariant sequences and truncated Fibonacci sequences

Linear Algebra and its Applications, 2005
Let \(P\) and \(D\) denote the Pascal matrix \(\bigl[\binom{i}{j}\bigr]\), (\(i,j=0,1,2,\dots\)) and the diagonal matrix \(\text{diag}((-1)^0,(-1)^1,(-1)^2,\dots)\), respectively. An infinite-dimensional real vector \(\mathbf x\) is called a \(\lambda\)-invariant sequence if \(PD\mathbf x=\lambda\mathbf x\).
Choi, Gyoung-Sik, Hwang, Suk-Geun, Kim, Ik-Pyo, Shader, Bryan L.   +3 more
openaire   +1 more source

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