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 …

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 …

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 …

In this study, a generalization of the Pell sequence called biperiodic Pell sequence is carried
out to matrix theory. Therefore, we call this matrix sequence the bi-periodic Pell matrix …

In this study, we introduce a generalization of Pell-Lucas matrix sequence called bi-periodic
Pell-Lucas matrix sequence by bi-periodic Pell-Lucas numbers. We find generating function …

In this article, it is considered that the new generalizations of the Jacobsthal sequence and
Jacobsthal-Lucas sequence. These sequences can arise in the study of continued fractions …