Counting occurrences of a pattern of type (1, 2) or (2, 1) in permutations
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Publication:1865264
DOI10.1016/S0196-8858(02)00012-XzbMath1013.05006arXivmath/0110036MaRDI QIDQ1865264
Anders Claesson, Toufik Mansour
Publication date: 26 March 2003
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0110036
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Cites Work
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- The enumeration of permutations with a prescribed number of ``forbidden patterns
- New Euler-Mahonian statistics on permutations and words
- Counting occurrences of 132 in a permutation
- Forbidden subsequences and Chebyshev polynomials
- Forbidden subsequences
- The number of permutations with exactly \(r\) 132-subsequences is \(P\)-recursive in the size!
- Exact enumeration of 1342-avoiding permutations: A close link with labeled trees and planar maps
- Permutations avoiding certain patterns: The case of length 4 and some generalizations
- Permutations with one or two 132-subsequences
- Generalized permutation patterns and a classification of the Mahonian statistics
- Generating trees and the Catalan and Schröder numbers
- The number of permutations containing exactly one increasing subsequence of length three
- Classification of forbidden subsequences of length 4
- On the number of permutations avoiding a given pattern
- Restricted permutations
- Restricted permutations
- Generalized pattern avoidance
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