Cobalancing Numbers: Another Way of Demonstrating Their Properties.

Autor: Öztürk, Arzu Özkoç, Külahlı, Volkan
Předmět:
Zdroj: Communications in Advanced Mathematical Sciences; Mar2024, Vol. 7 Issue 1, p1-13, 13p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index