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
Australia
Abstract:
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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