Journal of Integer Sequences, Vol. 20 (2017), Article 17.5.5

A Restricted Growth Word Approach to Partitions with Odd/Even Size Blocks

Richard Ehrenborg, Dustin Hedmark, and Cyrus Hettle
Department of Mathematics
University of Kentucky
Lexington, KY 40506-0027


We use restricted growth words and multivariate generating functionology to obtain the ordinary generating function for the number of partitions of an n-set into k blocks of odd (respectively, even) cardinality.

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(Concerned with sequences A136630 A156289.)

Received December 9 2016; revised version received April 29 2017. Published in Journal of Integer Sequences, April 30 2017.

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