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.
|Number of pages||22|
|Journal||Taiwanese Journal of Mathematics|
|State||Published - 2016|
Bibliographical noteFunding Information:
The second author was supported by NSFC (11401083) and the Fundamental Research Funds for the Central Universities (N152304006). The authors would like to thank referees for their valuable suggestions.
© 2016, Mathematical Society of the Rep. of China. All rights reserved.
- Pattern avoidance
- Stirling permutations
ASJC Scopus subject areas
- Mathematics (all)