Permutations, cycles, and the pattern 2-13

Details Permutations, cycles, and the pattern 2-13 Permutations, cycles, and the pattern 2-13

2006-07-31

arxiv.org/abs/math/0607793v1

Mathematics

Combinatorics

13 pages, 1 figure

Scientific paper

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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