On the bi-periodic Padovan sequences

Author:

Dışkaya Orhan,Menken Hamza

Abstract

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 Padovan matrix sequence. Finally, we investigate the Binet formulas, generating functions, series and partial sum formulas for these sequences.

Publisher

Centre for Evaluation in Education and Science (CEON/CEES)

Subject

General Medicine

Reference27 articles.

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4. Y. Choo, Relations between Generalized Bi-Periodic Fibonacci and Lucas Sequences, Mathematics, 8 (9) (2020), Article ID: 1527, 10 pages;

5. C. Cooper, Some identities involving differences of products of generalized Fibonacci numbers, Colloquium Mathematicum, 141 (1) (2015), 45-49;

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On a generalization of the Gadovan numbers;Mathematica Moravica;2024

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