Research Article

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

Number: 34 March 30, 2021
EN

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

References

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APA
Uygun, Ş. (2021). The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties. Journal of New Theory, 34, 12-19. https://izlik.org/JA58TE66CC
AMA
1.Uygun Ş. The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties. JNT. 2021;(34):12-19. https://izlik.org/JA58TE66CC
Chicago
Uygun, Şükran. 2021. “The Nth Power of Generalized (s, T)-Jacobsthal and (s, T)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties”. Journal of New Theory, nos. 34: 12-19. https://izlik.org/JA58TE66CC.
EndNote
Uygun Ş (March 1, 2021) The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties. Journal of New Theory 34 12–19.
IEEE
[1]Ş. Uygun, “The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties”, JNT, no. 34, pp. 12–19, Mar. 2021, [Online]. Available: https://izlik.org/JA58TE66CC
ISNAD
Uygun, Şükran. “The Nth Power of Generalized (s, T)-Jacobsthal and (s, T)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties”. Journal of New Theory. 34 (March 1, 2021): 12-19. https://izlik.org/JA58TE66CC.
JAMA
1.Uygun Ş. The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties. JNT. 2021;:12–19.
MLA
Uygun, Şükran. “The Nth Power of Generalized (s, T)-Jacobsthal and (s, T)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties”. Journal of New Theory, no. 34, Mar. 2021, pp. 12-19, https://izlik.org/JA58TE66CC.
Vancouver
1.Şükran Uygun. The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties. JNT [Internet]. 2021 Mar. 1;(34):12-9. Available from: https://izlik.org/JA58TE66CC