Özkoç, ArzuTekcan, Ahmet2024-09-122024-09-122017-01-011310-5132https://hdl.handle.net/11452/44649In this work, we consider some algebraic properties of k-balancing numbers. We deduce some formulas for the greatest common divisor of k-balancing numbers, divisibility properties of k-balancing numbers, sums of k-balancing numbers and simple continued fraction expansion of k-balancing numbers.eninfo:eu-repo/semantics/closedAccessBalancing numberPell numberBinary linear recurrencesScience & technologyPhysical sciencesMathematicsArticle00041924440000438522332367-8275