Cobalancing Numbers: Another Way of Demonstrating Their Properties

Autor: Volkan Külahlı, Arzu Özkoç Öztürk
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Communications in Advanced Mathematical Sciences, Vol 7, Iss 1, Pp 1-13 (2024)
Druh dokumentu: article
ISSN: 2651-4001
DOI: 10.33434/cams.1394777
Popis: In this study, previously obtained cobalancing numbers are considered from a different perspective, and the properties of the numbers are re-examined. The main purpose is to change the recurrence relation of cobalancing numbers and calculate some relations and properties in a more diverse and easier way. The reason that led us to this method is that the recurrence relation of cobalancing numbers has a second-order but non-homogeneous difference equations. Thus, it will be much easier to find the Binet formula, generating function, sum formulas, and many other relations with a sequence that is homogeneous and has a third-degree recurrence relation. Also some identities that have not been found before in the sequence are also included in this study.
Databáze: Directory of Open Access Journals