Results 61 to 70 of about 1,099 (82)

Fibonacci Cartan and Lucas Cartan numbers

Open Mathematics
This study introduces Fibonacci Cartan and Lucas Cartan numbers, extending the classical Fibonacci and Lucas sequences into the framework of Cartan numbers.
Öztürk İskender, Çakır Hasan
doaj   +1 more source

Some Addition Formulas for Fibonacci, Pell and Jacobsthal Numbers

Annales Mathematicae Silesianae, 2019
In this paper, we obtain a closed form for F?i=1k${F_{\sum\nolimits_{i = 1}^k {} }}$, P?i=1k${P_{\sum\nolimits_{i = 1}^k {} }}$and J?i=1k${J_{\sum\nolimits_{i = 1}^k {} }}$ for some positive integers k where Fr, Pr and Jr are the rth Fibonacci, Pell and ...
Bilgici Göksal, Şentürk Tuncay Deniz
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On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. [PDF]

Ramanujan J, 2021
Ddamulira M, Luca F.
europepmc   +1 more source

On a variant of Pillai's problem involving <i>S</i>-units and Fibonacci numbers. [PDF]

Bol Soc Mat Mex, 2022
Ziegler V.
europepmc   +1 more source

Tribonacci numbers that are concatenations of two repdigits. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2020
Ddamulira M.
europepmc   +1 more source

Repdigits as sums of three Padovan numbers. [PDF]

Bol Soc Mat Mex, 2020
Ddamulira M.
europepmc   +1 more source

On a problem of Pillai with Fibonacci numbers and powers of 3. [PDF]

Bol Soc Mat Mex, 2020
Ddamulira M.
europepmc   +1 more source

On a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications

Special Matrices
In this article, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory.
Kaddoura Issam, Mourad Bassam
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Metallic mean Wang tiles II: the dynamics of an aperiodic computer chip

Forum of Mathematics, Sigma
We consider a new family $(\mathcal {T}_n)_{n\geq 1}$ of aperiodic sets of Wang tiles and we describe the dynamical properties of the set $\Omega _n$ of valid configurations $\mathbb {Z}^2\to \mathcal {T}_n$ . The tiles can be defined
Sébastien Labbé
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Metallic mean Wang tiles I: self-similarity, aperiodicity and minimality

Forum of Mathematics, Sigma
For every positive integer n, we introduce a set ${\mathcal {T}}_n$ made of $(n+3)^2$ Wang tiles (unit squares with labeled edges). We represent a tiling by translates of these tiles as a configuration $\mathbb {Z}^2\to {\mathcal {T}}_n$
Sébastien Labbé
doaj   +1 more source