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

Department of Mathematics

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

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
State	Published - 2 Jan 2015

Bibliographical note

Publisher Copyright:
© 2014, © 2014 Taylor & Francis.

Keywords

generating function
pattern counting
permutation
recurrence relation

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1080/10236198.2014.977273

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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.",

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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