In this study, we bring into light a new generalization of the Jacobsthal Lucas numbers,
whichshall also be called the bi-periodic Jacobsthal Lucas sequence as^ cn={b^ cn1+ 2 …

A New Generalization of Pell-Lucas Numbers (Bi-Periodic Pell-Lucas Sequence) Page 1
Communications in Mathematics and Applications Vol. 10, No. 3, pp. 469–479, 2019 ISSN …

In the present paper, we introduce and study a new generalization of hyper-Fibonacci
numbers, called the bi-periodic hyper-Fibonacci numbers. Furthermore, we give a …

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 …

In this paper, we introduce the bi-periodic Jacobsthal and Jacobsthal-Lucas quaternions.
We give the Binet formulas and the generating functions for these quaternions. We obtain …

O presente trabalho apresenta as duas fases iniciais (análises preliminares e a análise a
priori), balizado por uma perspectiva de Engenharia Didática de 2ª geração–ED2, com o …

Following the new generalization of the Jacobsthal sequence defined by Uygun and Owusu
[10] as ˆ n= aˆ n− 1+ 2ˆ n− 2, when n is even and ˆ n= bˆ n− 1+ 2ˆ n− 2, when n is …

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 …

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 …

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 …