Öztürk, Arzu ÖzkoçKülahlı, Volkan2025-03-242025-03-2420242651-4001https://doi.org/10.33434/cams.1394777https://hdl.handle.net/20.500.12684/18933In 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.en10.33434/cams.1394777info:eu-repo/semantics/openAccessBinet formulas|Cobalancing numbers|Third-order recurrence relationsArticle71