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

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

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.