%0 Journal Article
%T Pattern Count on Multiply Restricted Permutations
%A Alina F. Y. Zhao
%J Mathematics
%D 2013
%I arXiv
%X Previous work has studied the pattern count on singly restricted permutations. In this work, we focus on patterns of length 3 in multiply restricted permutations, especially for double and triple pattern-avoiding permutations. We derive explicit formulae or generating functions for various occurrences of length 3 patterns on multiply restricted permutations, as well as some combinatorial interpretations for non-trivial pattern relationships.
%U http://arxiv.org/abs/1302.4063v1