Relations between generalized bi-periodic Fibonacci and Lucas sequences

Y Choo - Mathematics, 2020 - mdpi.com
In this paper we consider a generalized bi-periodic Fibonacci {fn} and a generalized bi-
periodic Lucas sequence {qn} which are respectively defined by f 0= 0, f 1= 1, fn= afn− 1+ …

A Note on Bi-Periodic Leonardo Sequence

PMMC Catarino, E Spreafico - Armenian Journal of Mathematics, 2024 - armjmath.sci.am
In this work, we define a new generalization of the Leonardo sequence by the recurrence
relation $ GLe_n= aGLe_ {n-1}+ GLe_ {n-2}+ a $(for even $ n $) and $ GLe_n= bGLe_ {n …

On the bounds for the spectral norms of geometric and r-circulant matrices with bi-periodic Jacobsthal numbers

S UYGUN, H AYTAR - Journal of applied mathematics & …, 2020 - koreascience.kr
The study is about the bounds of the spectral norms of r-circulant and geometric circulant
matrices with the sequences called biperiodic Jacobsthal numbers. Then we give bounds for …

[PDF][PDF] On the bi-periodic Padovan sequences

O Dışkaya, H Menken - Mathematica Moravica, 2023 - elib.mi.sanu.ac.rs
In this study, we define a new generalization of the Padovan numbers, which shall also be
called the bi-periodic Padovan sequence. Also, we consider a generalized bi-periodic …

Recurrence sequences associated to rays in bi-periodic Pascal's triangle

N Belaggoun, H Belbachir - Acta Mathematica Universitatis …, 2024 - iam.fmph.uniba.sk
In the present paper, we define a new generalization of Pascal's triangle called the bi-
periodic Pascal's triangle. We give the recurrence relation associated with the sum of …

Matrix representation of bi-periodic Jacobsthal sequence

S Uygun, E Owusu - arXiv preprint arXiv:1702.00604, 2017 - arxiv.org
In this paper, we bring into light the matrix representation of bi-periodic Jacobsthal
sequence, which we shall call the bi-periodic Jacobsthal Matrix sequence.. We obtained the …

[PDF][PDF] Bi-Periodic Jacobsthal Lucas Matrix sequence

S Uygun - Acta Universitatis Apulensis, 2021 - emis.de
In this paper, the bi-periodic Jacobsthal Lucas sequence will be carried to matrix algebra.
The terms of the bi-periodic Jacobsthal Lucas matrix sequence are the bi-periodic …

Bi-Periodic (p, q)-Fibonacci and Bi-Periodic (p, q)-Lucas Sequences

Y Taşyurdu, NŞ Türkoğlu - Sakarya University Journal of Science, 2023 - dergipark.org.tr
In this paper, we define bi-periodic (p, q)-Fibonacci and bi-periodic (p, q)-Lucas sequences,
which generalize Fibonacci type, Lucas type, bi-periodic Fibonacci type and bi-periodic …

[PDF][PDF] Combinatoire des suites liées aux nombres de Fibonacci bi-périodiques

N Belaggoun - 2023 - dspace.usthb.dz
Cette thèse se situe à l'interface de la combinatoire énumérative et de la théorie des
nombres, elle porte d'une part sur l'étude des suites récurrentes bi-périodiques d'ordre deux …

Some Bounds for the spectral norms of geometric and r-circulant matrices with generalized Jacobsthal-Lucas numbers

S Uygun - Authorea Preprints, 2024 - authorea.com
The purpose of this paper is to investigate the bounds of the spectral norms of r-circulant and
geometric circulant matrices whose elements are a generalization of Jacobsthal-Lucas …