On r-Jacobsthal and r-Jacobsthal-Lucas Numbers

Göksal Bilgici; Dorota Bród

doi:10.2478/amsil-2023-0001

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On r-Jacobsthal and r-Jacobsthal-Lucas Numbers

Annales Mathematicae Silesianae

Volume 37 (2023): Issue 1 (March 2023)

By: Göksal Bilgici and Dorota Bród

Open Access

|Feb 2023

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2023-0001 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 16 - 31

Submitted on: Mar 7, 2022

Accepted on: Jan 5, 2023

Published on: Feb 7, 2023

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

r-Jacobsthal numbers,

r-Jacobsthal–Lucas numbers,

Binet formula

Related subjects:

Mathematics,

General mathematics

© 2023 Göksal Bilgici, Dorota Bród, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 37 (2023): Issue 1 (March 2023)