Published: 2023-02-07

On r-Jacobsthal and r-Jacobsthal-Lucas numbers

Göksal Bilgici Logo ORCID , Dorota Bród

Abstract

Recently, Bród introduced a new Jacobsthal-type sequence which is called r-Jacobsthal sequence in current study. After defining the appropriate r-Jacobsthal–Lucas sequence for the r-Jacobsthal sequence, we obtain some properties of these two sequences. For simpler results, we define two new sequences and examine their properties, too. Finally, we generalize some well-known identities.

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Citation rules

Bilgici, G., & Bród, D. (2023). On r-Jacobsthal and r-Jacobsthal-Lucas numbers. Annales Mathematicae Silesianae, 37(1), 16–31. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/15208

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Domyślna okładka

Vol. 37 No. 1 (2023)
Published: 2023-03-03


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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