Filomat 2018 Volume 32, Issue 8, Pages: 2911-2920
https://doi.org/10.2298/FIL1808911C
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On the reciprocal sums of products of Fibonacci and Lucas numbers
Choi Ginkyu
Choo Younseok
In this paper, we study the reciprocal sums of products of Fibonacci and
Lucas numbers. Some identities are obtained related to the numbers Σ∞,k=n
1/FkLk+m and Σ∞,k=n 1/LkFk+m, m ≥ 0.
Keywords: Fibonacci number, Lucas number, reciprocal, floor function