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ENUMERATION OF A DUAL SET OF STIRLING PERMUTATIONS BY THEIR ALTERNATING RUNS

Part of: Combinatorics

Published online by Cambridge University Press:  01 April 2016

SHI-MEI MA  and
HAI-NA WANG
SHI-MEI MA*
Affiliation:
Department of Mathematics, Northeastern University, Shenyang 110004, China email shimeimapapers@163.com
HAI-NA WANG
Affiliation:
Department of Mathematics, Northeastern University, Shenyang 110004, China email hainawangpapers@163.com
*
✉shimeimapapers@163.com
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Abstract

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In this paper, we count a dual set of Stirling permutations by the number of alternating runs and study properties of the generating functions, including recurrence relations, grammatical interpretations and convolution formulas.

Keywords

alternating runscontext-free grammarsEulerian polynomialsStirling permutations

MSC classification

Primary: 05A15: Exact enumeration problems, generating functions
Secondary: 05A19: Combinatorial identities, bijective combinatorics

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 94 , Issue 2 , October 2016 , pp. 177 - 186
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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