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International Journal of Mathematics and Mathematical Sciences 
Volume 2004 (2004), Issue 47, Pages 2495-2501
doi:10.1155/S0161171204401380

A Combinatorial proof of a partition identity of Andrews and Stanley

Andrew V. Sills

Department of Mathematics, Rutgers University, Piscataway 08854-8019, NJ, USA

Received 26 January 2004; Revised 5 February 2004

Abstract

In his paper, “On a partition function of Richard Stanley,” George Andrews proves a certain partition identity analytically and asks for a combinatorial proof.This paper provides the requested combinatorial proof.