Results 61 to 70 of about 187 (159)

Periods of Leonardo Sequences and Bivariate Gaussian Leonardo Polynomials

Düzce Üniversitesi Bilim ve Teknoloji Dergisi
In this study, we investigate the periodic characteristics of Leonardo, Leonardo-Lucas, and Gaussian Leonardo sequences, presenting our findings through lemmas and theorems.
Selime Beyza Özçevik, Abdullah Dertli
doaj   +1 more source

COMMON TERMS k-GENERALIZED FIBONACCI AND LUCAS SEQUENCES

Journal of Science and Arts
Let (F_n^((k))) and (L_n) be the k-generalized Fibonacci and Lucas sequences. In this study, we find k-generalized Fibonacci numbers which are Lucas numbers. Namely, we tackle the Diophantine equation F_n^((k))=L_m, in non-negative integers k,n,m with k≥3.
openaire   +1 more source

The art of painting chromosome loops. [PDF]

Quant Plant Biol, 2023
Berr A, Chabouté ME.
europepmc   +1 more source

On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2

International Journal of Mathematics and Mathematical Sciences, 2009
Here we present a new method to construct the explicit formula of a sequence of numbers and polynomials generated by a linear recurrence relation of order 2.
Tian-Xiao He, Peter J.-S. Shiue
doaj   +1 more source

On prime powers in linear recurrence sequences. [PDF]

Ann Math Quebec, 2023
Odjoumani J, Ziegler V.
europepmc   +1 more source

Generalizations of Fibonacci and Lucas sequences

, 2002
The author studies the Hecke group \(H(\sqrt q)\) (\(q\) a prime \(\geq 5\)), the subgroup of \(\text{PSL}(2, \mathbb{Z})\) generated by \(z \to {- {1/z}}\) and \(z \to {z + \sqrt q}\). This group can also be generated by \(z \to {- {1/z}}\) and an element \(S\) whose matrix representation is \[ \left(\begin{matrix} 0 & {-1} \\ 1 & {\sqrt q} \end ...
openaire   +4 more sources

DETERMINANTAL IDENTITIES FOR k LUCAS SEQUENCE

Journal of New Theory, 2016
Abstaract−In this paper, we defined new relationship between k Lucas sequences and determi- nants of their associated matrices, this approach is different and never tried in k Fibonacci sequence ...
Ashok Dnyandeo Godase, Machindra Baban Dhakne   +1 more
doaj  

Fibonacci and Lucas Sequences in Aperiodic Monotile Supertiles

10 pages, 21 ...
openaire   +2 more sources

On the connections between Fibonacci and Mulatu Numbers

Intermaths
In this work, we present a detailed study of the Fibonacci--Mulatu sequence, {FMn}, defined recursively by FMn+2=FMn+1+FMn with initial terms FM0 = 4 and FM1 = 1.
Eudes Antonio Costa, Élis Gardel da Costa Mesquita, Paula M. M. C. Catarino   +2 more
doaj   +1 more source

KmerKeys: a web resource for searching indexed genome assemblies and variants. [PDF]

Nucleic Acids Res, 2022
Pavlichin DS, Lee H, Greer SU, Grimes SM, Weissman T, Ji HP.   +5 more
europepmc   +1 more source