Classical pattern distributions in $\mathcal{S}_{n}(132)$ and
$\mathcal{S}_{n}(123)$Article
Authors: Dun Qiu ; Jeffrey Remmel
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Dun Qiu;Jeffrey Remmel
Classical pattern avoidance and occurrence are well studied in the symmetric
group $\mathcal{S}_{n}$. In this paper, we provide explicit recurrence
relations to the generating functions counting the number of classical pattern
occurrence in the set of 132-avoiding permutations and the set of 123-avoiding
permutations.
George Wang, 2019, A Cornucopia of Quasi-Yamanouchi Tableaux, The Electronic journal of combinatorics/The journal of combinatorics, 26, 1, 10.37236/8082, https://doi.org/10.37236/8082.