The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties

Year 2021, Issue: 34, 12 - 19, 30.03.2021

Şükran Uygun

Abstract

In this study, new formulas for the nth power of (s,t)-Jacobsthal and (s,t)-Jacobsthal Lucas special matrix sequences are established by using determinant and trace of the matrices. By these formulas, some identities for (s,t)-Jacobsthal and (s,t)-Jacobsthal Lucas sequences are obtained. The formulas for finding the nth power for classic Jacobsthal and Jacobsthal Lucas matrix sequences are also derivable if we choose s=t=1.

Keywords

Jacobsthal numbers, recurrence relations, special matrices

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