Bidimensional Extensions of Cobalancing and Lucas-Cobalancing Numbers

J. Chimpanzo; M.V. Otero-Espinar; A. Borges; P. Vasco; P. Catarino

doi:10.2478/amsil-2023-0022

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Bidimensional Extensions of Cobalancing and Lucas-Cobalancing Numbers

Annales Mathematicae Silesianae

Volume 38 (2024): Issue 2 (September 2024)

By: J. Chimpanzo, M.V. Otero-Espinar, A. Borges, P. Vasco and P. Catarino

Open Access

|Nov 2023

Abstract

A new bidimensional version of cobalancing numbers and Lucas-balancing numbers are introduced. Some properties and identities satisfied by these new bidimensional sequences are studied.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2023-0022 | Journal eISSN: 2391-4238 (formerly 0860-2107) | Journal ISSN: 0860-2107

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Language: English

Page range: 241 - 262

Submitted on: Mar 25, 2023

Accepted on: Nov 17, 2023

Published on: Nov 29, 2023

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

In partnership with: Paradigm Publishing Services

Keywords:

cobalancing numbers,

Lucas-cobalancing numbers,

balancing numbers,

Lucas-balancing numbers,

bidimensional recurrence relations

MSC:

11B39,

11B83

Related subjects:

Mathematics,

General mathematics

© 2023 J. Chimpanzo, M.V. Otero-Espinar, A. Borges, P. Vasco, P. Catarino, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 38 (2024): Issue 2 (September 2024)