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International Journal of Mathematics and Mathematical Sciences 
Volume 2008 (2008), Article ID 794181, 11 pages
doi:10.1155/2008/794181

Research Article

Sums of Reciprocals of Triple Binomial Coefficients

A. Sofo

School of Computer Science and Mathematics, Victoria University, P.O. Box 14428, Melbourne, VIC 8001, Australia

Received 28 August 2007; Accepted 17 December 2007

Recommended by George Andrews

Abstract

We investigate the integral representation of infinite sums involving the reciprocals of triple binomial coefficients. We also recover some wellknown properties of ζ(3) and extend the range of results given by other authors.