Multiple pattern avoidance with respect to fixed points and excedances.
Elizalde, Sergi (2004)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Lattice path enumeration of permutations with occurrences of the pattern 2–13.”
Multiple pattern avoidance with respect to fixed points and excedances.
Motzkin paths and reduced decompositions for permutations with forbidden patterns.
Chen, William Y.C., Deng, Yu-Ping, Yang, Laura L.M. (2003)
The Electronic Journal of Combinatorics [electronic only]
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An area-to-inv bijection between Dyck paths and 312-avoiding permutations.
Bandlow, Jason, Killpatrick, Kendra (2001)
The Electronic Journal of Combinatorics [electronic only]
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Three-letter-pattern avoiding permutations and functional equations.
Firro, Ghassan, Mansour, Toufik (2006)
The Electronic Journal of Combinatorics [electronic only]
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Counting segmented permutations using bicoloured Dyck paths.
Claesson, Anders (2005)
The Electronic Journal of Combinatorics [electronic only]
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Longest alternating subsequences in pattern-restricted permutations.
Firro, Ghassan, Mansour, Toufik, Wilson, Mark C. (2007)
The Electronic Journal of Combinatorics [electronic only]
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Counting 1324-avoiding permutations.
Marinov, Darko, Radoičić, Radoš (2003)
The Electronic Journal of Combinatorics [electronic only]
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Place-difference-value patterns: a generalization of generalized permutation and word patterns.
Kitaev, Sergey, Remmel, Jeffrey (2010)
Integers
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Enumerating permutations avoiding more than three Babson-Steingrímsson patterns.
Bernini, Antonio, Pergola, Elisa (2007)
Journal of Integer Sequences [electronic only]
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A combinatorial interpretation of the eigensequence for composition.
Callan, David (2006)
Journal of Integer Sequences [electronic only]
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Counting 1324, 4231-avoiding permutations.
Albert, Michael H., Atkinson, M.D., Vatter, Vincent (2009)
The Electronic Journal of Combinatorics [electronic only]
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Using homological duality in consecutive pattern avoidance.
Khoroshkin, Anton, Shapiro, Boris (2011)
The Electronic Journal of Combinatorics [electronic only]
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A combinatorial proof of a result for permutation pairs
Toufik Mansour, Mark Shattuck (2012)
Open Mathematics
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In this paper, a direct combinatorial proof is given of a result on permutation pairs originally due to Carlitz, Scoville, and Vaughan and later extended. It concerns showing that the series expansion of the reciprocal of a certain multiply exponential generating function has positive integer coefficients. The arguments may then be applied to related problems, one of which concerns the reciprocal of the exponential series for Fibonacci numbers.