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

Authors : Şükran UYGUN

Pages : 12-19

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Publication Date : 2021-03-30

Article Type : Research Paper

Abstract :In this study, new formulas for the nth power of insert ignore into journalissuearticles values(s,t);-Jacobsthal and insert ignore into journalissuearticles values(s,t);-Jacobsthal Lucas special matrix sequences are established by using determinant and trace of the matrices. By these formulas, some identities for insert ignore into journalissuearticles values(s,t);-Jacobsthal and insert ignore into journalissuearticles values(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