Using GENERATINGFUNCTIONOLOGY to Enumerate Distinct-Multiplicity Partitions

Doron Zeilberger

Using GENERATINGFUNCTIONOLOGY to Enumerate Distinct-Multiplicity Partitions

Combinatorics 2012-01-20 v1

Authors: Doron Zeilberger

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

Keywords

partition theory

Cite

@article{arxiv.1201.4093,
  title  = {Using GENERATINGFUNCTIONOLOGY to Enumerate Distinct-Multiplicity Partitions},
  author = {Doron Zeilberger},
  journal= {arXiv preprint arXiv:1201.4093},
  year   = {2012}
}

Comments

6 pages, accompanied by the Maple package <A HREF="http://www.math.rutgers.edu/~zeilberg/tokhniot/DMP">DMP</A>

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