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Permutations, cycles, and the pattern 2-13

Robert Parviainen
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Abstract

We count the number of occurrences of restricted patterns of length 3 in permutations with respect to length and the number of cycles. The main tool is a bijection between permutations in standard cycle form and weighted Motzkin paths.

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Robert Parviainen. 2006-07-31. Permutations, cycles, and the pattern 2-13. https://arxiv.org/abs/math/0607793

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