Permutations containing a pattern exactly once and avoiding at least two patterns of three letters

T. Mansour

Permutations containing a pattern exactly once and avoiding at least two patterns of three letters

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we find an explicit formulas, or recurrences, in terms of generating functions for the cardinalities of the sets S_n(T; τ) of all permutations in S_n that contain τ ∈ S_k exactly once and avoid a subset T ⊆ S₃ where |T| ≥ 2.

Original language	English
Pages (from-to)	213-222
Number of pages	10
Journal	Ars Combinatoria
Volume	72
State	Published - Jul 2004
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

Cite this

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abstract = "In this paper, we find an explicit formulas, or recurrences, in terms of generating functions for the cardinalities of the sets Sn(T; τ) of all permutations in Sn that contain τ ∈ Sk exactly once and avoid a subset T ⊆ S3 where |T| ≥ 2.",

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AB - In this paper, we find an explicit formulas, or recurrences, in terms of generating functions for the cardinalities of the sets Sn(T; τ) of all permutations in Sn that contain τ ∈ Sk exactly once and avoid a subset T ⊆ S3 where |T| ≥ 2.

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Permutations containing a pattern exactly once and avoiding at least two patterns of three letters

Abstract

ASJC Scopus subject areas

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