Restricted Stirling permutations

2016/07/20 by Callan, David, Ma, Shi-Mei, Mansour, Toufik
#05A05 #05A15 #40C15 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1607.06006

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.

Related

• Descents on quasi-Stirling permutations
• The ascent-plateau statistics on Stirling permutations
• Enumeration of flattened k-Stirling permutations with respect to descents
• Pattern restricted quasi-Stirling permutations
• Flattened Stirling Permutations