Results 91 to 100 of about 1,488 (185)

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

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

Binary sequences meet the Fibonacci sequence

Advances in Applied Mathematics
20 pages, 3 ...
Piotr Miska, Bartosz Sobolewski, Maciej Ulas   +2 more
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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 $\alpha_1,\ldots,\alpha_k$.
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On the Fibonacci and the Generalized Fibonacci Sequence

Journal of Nepal Mathematical Society
Fibonacci numbers and their sequence are found abundantly in nature. There is a close relation among the Golden, Fibonacci, and Lucas ratios. Such ratios are inherent to design, architecture, construction, and even to the beauty of different natural and manmade solid objects.
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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 ...
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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
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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
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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
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