Results 111 to 120 of about 126,630 (242)
On Some Properties of the Hofstadter–Mertens Function
Complexity, 2020 Many mathematicians have been interested in the study of recursive sequences. Among them, a class of “chaotic” sequences are named “meta-Fibonacci sequences.” The main example of meta-Fibonacci sequence was introduced by Hofstadter, and it is called the ...
Pavel Trojovský
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On the Fibonacci Almost Convergent Sequence Space and Fibonacci Core
Kyungpook mathematical journal, 2015 In the present paper, by using the Fibonacci difference matrix, we introduce the almost convergent sequence space . Also, we show that the spaces and are linearly isomorphic. Further, we determine the -dual of the space and characterize some matrix classses on this space.
Demiriz, Serkan +2 more
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A Systematic Review of Fibonacci Sequence in the Human Abdominal Wall: Facts and Reality. [PDF]
Cureus, 2022 Ravindra C, Rengan V, B R.
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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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A promising approach using Fibonacci sequence-based optimization algorithms and advanced computing. [PDF]
Sci Rep, 2023 Tran-Ngoc H +5 more
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The Fibonacci sequence and the nature of mathematical discovery: A semiotic perspective
Sign Systems Studies, 2005 This study looks at the relation between mathematical discovery and semiosis, focusing on the famous Fibonacci sequence. The serendipitous discovery of this sequence as the answer to a puzzle designed by Italian mathematician Leonardo Fibonacci to ...
Marcel Danesi
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Simson Identity of Generalized m-step Fibonacci Numbers [PDF]
arXiv, 2019 One of the best known and oldest identities for the Fibonacci sequence $F_n$ is $F_{n+1}F_{n-1}-F_{n}^2=(-1)^n$ which was derived first by R. Simson in 1753 and it is now called as Simson or Cassini Identity. In this paper, we generalize this result to generalized m-step Fibonacci numbers and give an attractive formula.
arxiv
The Fibonacci sequence is defined as the sequence Fn with the recurrence relation Fn+1 = Fn + F n-1 where F0 = 0 and F1= 1. A closely related sequence to the Fibonacci sequence is the Lucas sequence, Ln.
Salamone, Maya
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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 +2 more
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Fibonacci statistical convergence and Korovkin type approximation theorems
Journal of Inequalities and Applications, 2017 The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined.
Murat Kirişci, Ali Karaisa
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