Open Access
2016 Restricted Stirling Permutations
David Callan, Shi-Mei Ma, Toufik Mansour
Taiwanese J. Math. 20(5): 957-978 (2016). DOI: 10.11650/tjm.20.2016.6717

Abstract

In this paper, we study the generating functions for the number of pattern restricted Stirling permutations with a given number of plateaus, descents and ascents. Properties of the generating functions, including symmetric properties and explicit formulas are studied. Combinatorial explanations are given for some equidistributions.

Citation

Download Citation

David Callan. Shi-Mei Ma. Toufik Mansour. "Restricted Stirling Permutations." Taiwanese J. Math. 20 (5) 957 - 978, 2016. https://doi.org/10.11650/tjm.20.2016.6717

Information

Published: 2016
First available in Project Euclid: 1 July 2017

zbMATH: 1357.05003
MathSciNet: MR3555882
Digital Object Identifier: 10.11650/tjm.20.2016.6717

Subjects:
Primary: 05A05 , 05A15 , 40C15

Keywords: pattern avoidance , plateaus , Stirling permutations

Rights: Copyright © 2016 The Mathematical Society of the Republic of China

Vol.20 • No. 5 • 2016
Back to Top