Results 111 to 120 of about 616 (205)

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

Generalized Fibonacci Sequences [PDF]

, 2012
The Fibonacci sequence is famous for possessing wonderful and amazing properties. In this paper, we introduce generalized Fibonacci sequences and related identities consisting even and odd terms.
V K Gupta, Omprakash Sikhwal, Yashwant K Panwar   +2 more
core  

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

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

On the sums of Fibonacci and Lucas sequences or the art of cancelling $1−x$

Elemente der Mathematik, 2017
The author establishes the identity \[ \sum_{k=0}^n m^kL-k + (m-2) \sum_{k=0}^{n+1} m^{k-1} F_k = m^{n+1} F_{n+1}, \] for nonnegatiev integer \(n\) and real \(m>0\), \(F_n\), \(L_n\) denote the Fibonacci numbers and Lucas numbers, thereby generalizing previous Fibonacci-Lucas relations of Sury and Marques.
openaire   +1 more source

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  

On prime powers in linear recurrence sequences. [PDF]

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

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

The art of painting chromosome loops. [PDF]

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

Tridiagonal matrices representations of generalized bivariate complex polynomials

Journal of Innovative Applied Mathematics and Computational Sciences
This paper introduces a closed-form expression for generalized bivariate complex polynomials using a tridiagonal determinant in symbolic form. Subsequences with even and odd indices are also represented as tridiagonal determinants.
K. L. Verma
doaj   +1 more source