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arxiv: math/0607793 · v1 · submitted 2006-07-31 · 🧮 math.CO

Permutations, cycles, and the pattern 2-13

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keywords permutationscycleslengthnumberbijectioncountcycleform
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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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