|Journal of Integer Sequences, Vol. 8 (2005), Article 05.1.5|
Abstract: We give bijective proofs of parity theorems for four related statistics on partitions of finite sets. A consequence of our results is a combinatorial proof of a congruence between Stirling numbers and binomial coefficients.
(Concerned with sequence A000045 .)
Received May 6 2004; revised version received January 17 2005. Published in Journal of Integer Sequences January 17 2005.