Results 71 to 80 of about 133 (111)

Eventually monotonic solutions of the generalized Fibonacci equations

Open Mathematics
The purpose of this work is, for the first time, to introduce some results about the eventually monotonic solutions of the generalized Fibonacci equations. In addition, some concrete examples are given to illustrate the theoretical results.
Özban Ahmet Yaşar, Özdemir Halim
doaj   +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

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

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
doaj   +1 more source

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

On Some Inequalities with Fibonacci Numbers via Weighted Reverse Hölder Inequalities

Annales Mathematicae Silesianae
In this paper, we introduce new inequalities for weighted sums of powers. By utilizing known Fibonacci identities alongside our generalized inequalities, we derive new sequences of inequalities for Fibonacci numbers.
Pribanić Anamarija Perušić
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