Systematic Counting of Restricted Partitions

By Mingjia Yang and Doron Zeilberger

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[Published in INTEGERS v. 20 (2020), A62]

First Posted: Oct. 20, 2019; Slightly revised version: April 12, 2020.

Integer partitions are one of the most fundamental objects of combinatorics (and number theory), and so is enumerating objects avoiding patterns. In the present paper we present two approaches for the systematic counting of classes of partitions avoiding an arbitrary set of "patterns".

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Sample Input and Output for RPpos.txt

Sample Input and Output for RPneg.txt

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