Recurrence relations in counting the pattern 13-2 in flattened permutations

Toufik Mansour; David G.L. Wang

doi:10.1080/10236198.2014.977273

Recurrence relations in counting the pattern 13-2 in flattened permutations

Toufik Mansour
, David G.L. Wang^*

^*Corresponding author for this work

School of Mathematics and Statistics

University of Haifa

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

2 Citations (Scopus)

Abstract

We prove that the generating function for the number of flattened permutations having a given number of occurrences of the pattern 13-2 is rational, by using the recurrence relations and the kernel method.

Original language	English
Pages (from-to)	16-36
Number of pages	21
Journal	Journal of Difference Equations and Applications
Volume	21
Issue number	1
DOIs	https://doi.org/10.1080/10236198.2014.977273
Publication status	Published - 2 Jan 2015

Keywords

generating function
pattern counting
permutation
recurrence relation

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10.1080/10236198.2014.977273

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title = "Recurrence relations in counting the pattern 13-2 in flattened permutations",

abstract = "We prove that the generating function for the number of flattened permutations having a given number of occurrences of the pattern 13-2 is rational, by using the recurrence relations and the kernel method.",

keywords = "generating function, pattern counting, permutation, recurrence relation",

author = "Toufik Mansour and Wang, \{David G.L.\}",

note = "Publisher Copyright: {\textcopyright} 2014, {\textcopyright} 2014 Taylor \& Francis.",

year = "2015",

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doi = "10.1080/10236198.2014.977273",

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N2 - We prove that the generating function for the number of flattened permutations having a given number of occurrences of the pattern 13-2 is rational, by using the recurrence relations and the kernel method.

AB - We prove that the generating function for the number of flattened permutations having a given number of occurrences of the pattern 13-2 is rational, by using the recurrence relations and the kernel method.

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KW - pattern counting

KW - permutation

KW - recurrence relation

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JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

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Recurrence relations in counting the pattern 13-2 in flattened permutations

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Keywords

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