Counting occurrences of 132 in an even permutation

Details Counting occurrences of 132 in an even permutation Counting occurrences of 132 in an even permutation

2002-11-13

arxiv.org/abs/math/0211205v1

Mathematics

Combinatorics

12 pages, 2 figures

Scientific paper

We study the generating function for the number of even (or odd) permutations
on n letters containing exactly $r\gs0$ occurrences of 132. It is shown that
finding this function for a given r amounts to a routine check of all
permutations in $S_{2r}$.

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