Some Properties of Generalized Jacobsthal-Like Sequences

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Karaelmas Fen ve Mühendislik Dergisi
Volume:14 Issue:2
Some Properties of Generalized Jacobsthal-Like Sequences

Some Properties of Generalized Jacobsthal-Like Sequences

Authors : Can Murat Dikmen, Kübra Karataş Selam

Pages : 92-96

View : 101 | Download : 57

Publication Date : 2024-07-23

Article Type : Research Paper

Abstract :In this article, using Jacobsthal and Jacobsthal-Lucas sequences, we define generalized Jacobsthal-Like sequences and investigate their algebraic properties like Binet’s formula, generating functions, Simson formula and summation formula. We also prove some other summation formulas like sum of even and odd indices and alternating sum of generalized Jacobsthal-Like sequences.
Keywords : Genelleştirilmiş Jacobsthal benzeri diziler, Jacobsthal dizisi, Jacobsthal Lucas dizileri

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