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

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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