Generalizations of Certain Binomial Sums with Generalized Fibonacci Sequences

Zhizheng Zhang1, Xiaoli Ye1
1Department of Mathematics, Luoyang Teachers’ College, Luoyang 471022, P. R. China

Abstract

The purpose of this note is to give two binomial sums with generalized Fibonacci sequences. These results generalize two binomial sums by Kilic and Ionascu in The Fibonacci Quarterly, 48.2(2010), 161-167.

Keywords: Generalized Fibonacci number, Gen- eralized Lucas number, binomial sum