Journal of Integer Sequences, Vol. 17 (2014), Article 14.6.5

Finite Reciprocal Sums Involving Summands that are Balanced Products of Generalized Fibonacci Numbers

R. S. Melham
School of Mathematical Sciences
University of Technology, Sydney
NSW 2007


In this paper we find closed forms, in terms of rational numbers, for certain finite sums. The denominator of each summand is a finite product of terms drawn from two sequences that are generalizations of the Fibonacci and Lucas numbers.

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(Concerned with sequences A000032 A000045.)

Received February 4 2014; revised version received April 16 2014. Published in Journal of Integer Sequences, May 12 2014.

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