Journal of Integer Sequences, Vol. 21 (2018), Article 18.3.2

On the Reciprocal Sums of Products of Fibonacci Numbers

Younseok Choo
Department of Electronic and Electrical Engineering
Hongik University
Sejong 30016
Republic of Korea


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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