Gulec, H. H.Taskara, N.Uslu, K.2020-03-262020-03-2620130096-30031873-5649https://dx.doi.org/10.1016/j.amc.2013.05.043https://hdl.handle.net/20.500.12395/29164In this study, Fibonacci and Lucas numbers have been obtained by using generalized Fibonacci numbers. In addition, some new properties of generalized Fibonacci numbers with binomial coefficients have been investigated to write generalized Fibonacci sequences in a new direct way. Furthermore, it has been given a new formula for some Lucas numbers. (C) 2013 Elsevier Inc. All rights reserved.en10.1016/j.amc.2013.05.043info:eu-repo/semantics/closedAccessFibonacci numberLucas numberGeneralized Fibonacci numberBinomial coefficientsArticle220482486Q1WOS:000324558600049Q1