Results 131 to 140 of about 2,122 (182)
Renormalization techniques for inflation systems and some of their applications. [PDF]
Baake M +4 more
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On the Response of Proteinoid Ensembles to Fibonacci Sequences. [PDF]
Mougkogiannis P, Adamatzky A.
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Evolution in Laryngeal Cancer Mortality at the National and Subnational Level in Romania with 2030 Forecast. [PDF]
Banța AM +9 more
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Quotients of Fibonacci Numbers
The American Mathematical Monthly, 2016AbstractThere have been many articles in the MONTHLY on quotient sets over the years. We take a first step here into the p-adic setting, which we hope will spur further research.
Stephan Ramon Garcia, Florian Luca
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Factorization of Fibonacci Numbers
The Fibonacci Quarterly, 1970The Fibonacci numbers \(F_n\) may be defined by \(F_0 = 0\), \(F_1= 1\), \(F_{n+1}=F_n +F_{n-1}\) for \(n \geq 1\). If \(F_z\) \(z>0\), is the smallest Fibonacci number divisible by the prime \(p\), then \(z =a(p)\) is defined as the entry point (or rank) of \(p\); moreover \(p\) divides \(F_n\) if and only if \(n\) is divisible by \(z(p)\).
Daykin, D. E., Dresel, L. A. G.
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Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers [PDF]
The aim of this paper is to research the structural properties of the Fibonacci polynomials and Fibonacci numbers and obtain some identities. To achieve this purpose, we first introduce a new second-order nonlinear recursive sequence. Then, we obtain our main results by using this new sequence, the properties of the power series, and the combinatorial ...
Wenpeng Zhang
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Fibonacci numbers as mixed concatenations of Fibonacci and Lucas numbers
Mathematica SlovacaAbstractLet (Fn)n≥0and (Ln)n≥0be the Fibonacci and Lucas sequences, respectively. In this paper we determine all Fibonacci numbers which are mixed concatenations of a Fibonacci and a Lucas numbers. By mixed concatenations ofaandb, we mean the both concatenationsabandbatogether, whereaandbare any two nonnegative integers.
Altassan, Alaa, ALAN, Murat
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On Concatenations of Fibonacci and Lucas Numbers
Bulletin of the Iranian Mathematical Society, 2022Let \( (F_n)_{n\ge 0} \) and \( (L_n)_{n\ge 0} \) be the usual Fibonacci and Lucas sequences defined respectively by the linear recurrence relations: \( F_0=0 \), \( F_1=1 \), \( F_{n+2}=F_{n+1}+F_n \) and \( L_0=2 \), \( L_1=1 \), \( L_{n+2}=L_{n+1}+L_n \) for all \( n\ge 0 \).
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On the Fibonacci numbers of the composition of graphs
Discrete Applied Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Loiret Alejandría Dosal-Trujillo +1 more
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