Bidimensional extensions of cobalancing and Lucas-cobalancing numbers



Abstract

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


Keywords

cobalancing numbers; Lucas-cobalancing numbers; balancing numbers; Lucas-balancing numbers; bidimensional recurrence relations

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Published : 2023-11-29


ChimpanzoJ., Otero-EspinarM. V., BorgesA., VascoP., & CatarinoP. (2023). Bidimensional extensions of cobalancing and Lucas-cobalancing numbers. Annales Mathematicae Silesianae, 38(2), 241-262. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/16430

J. Chimpanzo 
Department of Exact Sciences, Higher Polytechnic Institute of Soyo  Angola
M. V. Otero-Espinar 
Department of Statistics, Mathematical Analysis and Optimization, University of Santiago de Compostela  Spain
A. Borges 
Department of Mathematics, University of Trás-os-Montes e Alto Douro  Portugal
P. Vasco 
Department of Mathematics, University of Trás-os-Montes e Alto Douro  Portugal
P. Catarino  pcatarin@utad.pt
Department of Mathematics, University of Trás-os-Montes e Alto Douro  Portugal
https://orcid.org/0000-0001-6917-5093



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