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On the Reciprocal Sums of Products of Fibonacci and Lucas Numbers

Authors
Choi, GinkyuChoo, Younseok
Issue Date
2018
Publisher
UNIV NIS, FAC SCI MATH
Keywords
Fibonacci number; Lucas number; reciprocal; floor function
Citation
FILOMAT, v.32, no.8, pp.2911 - 2920
Journal Title
FILOMAT
Volume
32
Number
8
Start Page
2911
End Page
2920
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/4759
DOI
10.2298/FIL1808911C
ISSN
0354-5180
Abstract
In this paper, we study the reciprocal sums of products of Fibonacci and Lucas numbers. Some identities are obtained related to the numbers Sigma(infinity)(k=n) 1/FkLk+m and Sigma(infinity)(k=n) 1/LkFk+m, m >= 0.
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