On the Reciprocal Sums of Products of Fibonacci Numbers
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.
Full version: pdf,
dvi,
ps,
latex
(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.
Return to
Journal of Integer Sequences home page
