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Research Article Open access CC BY 4.0

On Generalized Third-Order Jacobsthal Numbers

Evren Eyican Polatlı, Yüksel Soykan

Asian Research Journal of Mathematics · pp. 1–19 · Published 23 Mar 2021

10.9734/arjom/2021/v17i230270

Abstract

In this paper, we investigate the generalized third order Jacobsthal sequences and we deal with, in detail, four special cases, namely, third order Jacobsthal, third order Jacobsthal-Lucas, modified third order Jacobsthal, third order Jacobsthal Perrin sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.

Jacobsthal numbers third order Jacobsthal numbers third order Jacobsthal-Lucas third order Jacobsthal Perrin numbers

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