Results 61 to 70 of about 1,036 (80)

Determinants and inverses of circulant matrices with complex Fibonacci numbers

Special Matrices, 2015
Let ℱn = circ (︀F*1 , F*2, . . . , F*n︀ be the n×n circulant matrix associated with complex Fibonacci numbers F*1, F*2, . . . , F*n. In the present paper we calculate the determinant of ℱn in terms of complex Fibonacci numbers.
Altınışık Ercan, Feyza Yalçın N., Büyükköse Şerife   +2 more
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

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

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
doaj   +1 more source

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

Periodic harmonic functions on lattices and points count in positive characteristic

Open Mathematics, 2009
Zaidenberg Mikhail
doaj   +1 more source