Geodesic
Permutations, cycles and the pattern 2--13
The electronic journal of combinatorics, Tome 13 (2006)

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Zbl arXiv EuDML
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.
DOI : 10.37236/1137
Classification : 05A05, 05A15 
Robert Parviainen. Permutations, cycles and the pattern 2--13. The electronic journal of combinatorics, Tome 13 (2006). doi: 10.37236/1137
@article{10_37236_1137,
     author = {Robert Parviainen},
     title = {Permutations, cycles and the pattern 2--13},
     journal = {The electronic journal of combinatorics},
     year = {2006},
     volume = {13},
     doi = {10.37236/1137},
     zbl = {1114.05003},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1137/}
}
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