On the Reciprocal Sums of Products of Fibonacci Numbers
Younseok Choo
Department of Electronic and Electrical Engineering
Hongik University
Sejong 30016
Republic of Korea
Abstract:
In this paper we study the reciprocal sums of products of two different
Fibonacci numbers. We obtain some identities related to the numbers
⌊ (Σk=n∞
1/FkFk+m)-1 ⌋, m ≥ 1, where ⌊ ˙ ⌋ indicates the floor function.
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(Concerned with sequence
A000108.)
Received July 17 2017; revised versions received December 29 2017; January 22 2018.
Published in Journal of Integer Sequences, March 8 2018.
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