Generating functions for purely crossing partitions
arXiv:1602.03469
Abstract
The generating function for the number of purely crossing partitions of {1,...,n} is found in terms of the generating function for Bell numbers. Further results about generating functions for asymptotic moments of certain random Vandermonde matrices are derived.
10 pages; version 2 adds a citation to F. Lehner and uses the existing name "connected partitions" for what we previously called "NIS partitions."