Results 81 to 90 of about 1,632,723 (171)

Fibonacci-Like sequence associated with k-Pell, k-Pell-Lucas and Modified k-Pell sequences [PDF]

, 2017
Fibonacci sequence is a well known example of second order linear recurrence relatio. Besides Fibonacci numbers and their generalizations have many applications as well as interesting properties almost in every field of science such as in Physics ...
Wani, A. A., Arfat Ahmad Wani, Bhat, S. A., Rathore, G. P. S., Sajad Ahmad Bhat, G.P.S. Rathore   +5 more
core   +3 more sources

$\mathcal{H}$-Nacci Sequence and Its Role in Virus Mutation

Mathematics
In this research, we proposed a new concept called as the H-Nacci sequence. The H-Nacci sequence (Fibonacci sequences of length h) is a collection of numbers developed from the coefficients of the generalized m-th Fibonacci equation.
Muflih Alhazmi, Rexma Sherine Venchislas, Gerly Thaniel Gnanamuthu, Chellamani Perumal, Shreefa O. Hilali, Mashaer Alsaeedi, Avinash Natarajan, Britto Antony Xavier Gnanaprakasam   +7 more
doaj   +1 more source

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 Systematic Review of Fibonacci Sequence in the Human Abdominal Wall: Facts and Reality. [PDF]

Cureus, 2022
Ravindra C, Rengan V, B R.
europepmc   +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

On The Lagrange Interpolation of Fibonacci Sequence [PDF]

, 2016
Fibonacci sequence is one of the most common sequences in mathematics. It was first introduced by Leonardo Pisa in his book Liber Abaci (1202). From the first n + 1 terms of Fibonacci sequence, a polynomial of degree at most n can be constructed using ...
Hanafi, Lukman; Department of Mathematics, Institut Teknologi Sepuluh Nopember, Asfihani, Tahiyatul; Department of Mathematics, Institut Teknologi Sepuluh Nopember, Mufid, Muhammad Syifa'ul; Department of Mathematics, Institut Teknologi Sepuluh Nopember   +2 more
core   +1 more source