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We study the generating function for the number of even (or odd) permutations on n letters containing exactly rÃ¢Â‰Â¥0 occurrences of a 132 pattern. It is shown that finding this function for a given r amounts to a routine check of all permutations in Ã°ÂÂ”Â–2r

Counting occurrences of132in an even permutation