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Counting occurences of 132 in a permutation

Toufik Mansour, Alek Vainshtein

math.COarXiv:math/0105073

Abstract

We study the generating function for the number of permutations on n letters containing exactly r0 occurences of 132. It is shown that finding this function for a given r amounts to a routine check of all permutations in S2r.

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