Results 91 to 100 of about 3,822 (183)

Verbena officinalis Verbenaceae (Lamiales): a new plant model system for phyllotaxis research. [PDF]

J Plant Res, 2021
Zagórska-Marek B, Turzańska M, Chmiel K.   +2 more
europepmc   +1 more source

A combined approach to Perrin and Padovan hybrid sequences. [PDF]

Heliyon, 2021
Jafari Petroudi SH, Pirouz M, Karaca E, Yılmaz F.   +3 more
europepmc   +1 more source

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

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

The art of painting chromosome loops. [PDF]

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