Using GENERATINGFUNCTIONOLOGY to Enumerate Distinct-Multiplicity Partitions

Abstract

This article, written in fond memory of Herbert Saul Wilf (June 13, 1931- Jan. 7, 2012), explores integer partitions where each part shows up a different number of times than the other parts (if it shows up at least once), thereby making a modest contribution towards the solution of one of the eight intrigiung problems posted by Herb Wilf on his website on Dec. 13, 2010