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.
Full version: pdf,
(Concerned with sequences
Received December 9 2016; revised version received April 29 2017.
Published in Journal of Integer Sequences, April 30 2017.
Journal of Integer Sequences home page