Mathematics > Combinatorics
[Submitted on 10 Jun 2018]
Title:On the third-order Jacobsthal and third-order Jacobsthal-Lucas sequences and their matrix representations
View PDFAbstract:In this paper, we first give new generalizations for third-order Jacobsthal $\{J_{n}^{(3)}\}_{n\in \mathbb{N}}$ and third-order Jacobsthal-Lucas $\{j_{n}^{(3)}\}_{n\in \mathbb{N}}$ sequences for Jacobsthal and Jacobsthal-Lucas numbers. Considering these sequences, we define the matrix sequences which have elements of $\{J_{n}^{(3)}\}_{n\in \mathbb{N}}$ and $\{j_{n}^{(3)}\}_{n\in \mathbb{N}}$. Then we investigate their properties.
Submission history
From: Gamaliel Cerda-Morales [view email][v1] Sun, 10 Jun 2018 19:06:36 UTC (6 KB)
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