Counting occurrences of 132 in a permutation

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Abstract

We study the generating function for the number of permutations on n letters containing exactly r ≥ 0 occurrences of 132. It is shown that finding this function for a given r amounts to a routine check of all permutations in S2r. © 2002 Elsevier Science (USA).

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Mansour, T., & Vainshtein, A. (2002). Counting occurrences of 132 in a permutation. Advances in Applied Mathematics, 28(2), 185–195. https://doi.org/10.1006/aama.2001.0773

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