Sums of products of two reciprocal Fibonacci numbers

Advances in Difference Equations

Runnan Liu¹  Andrew YZ Wang² 

[1] School of Communication and Information Engineering, University of Electronic Science and Technology of China, Chengdu, P.R. China;School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, P.R. China

关键词: Fibonacci number;    reciprocal sum;    floor function;    11B39;   

DOI  :  10.1186/s13662-016-0860-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we employ elementary methods to investigate the reciprocal sums of the products of two Fibonacci numbers in several ways. First, we consider the sums of the reciprocals of the products of two Fibonacci numbers and establish five interesting families of identities. Then we extend such analysis to the alternating sums and obtain five analogous results.

【 授权许可】

CC BY