Article ID Journal Published Year Pages File Type
4625329 Advances in Applied Mathematics 2006 19 Pages PDF
Abstract

We find generating functions for the number of compositions avoiding a single pattern or a pair of patterns of length three on the alphabet {1,2} and determine which of them are Wilf-equivalent on compositions. We also derive the number of permutations of a multiset which avoid these same patterns and determine the Wilf-equivalence of these patterns on permutations of multisets.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics