Counting Consecutive Pattern Matches in ${\mathcal{S}}_n(132)$ and ${\mathcal{S}}_n(123)$

Ran Pan, Dun Qiu, Jeffrey Remmel

In this paper, we study the distribution of consecutive patterns in the set of 123-avoiding permutations and the set of 132-avoiding permutations, that is, in ${\mathcal{S}}_n(123)$…