English

Pattern distributions in Dyck paths with a first return decomposition constrained by height

Combinatorics 2020-05-19 v2

Abstract

We provide generating functions for the popularity and the distribution of patterns of length at most three over the set of Dyck paths having a first return decomposition constrained by height.

Keywords

Cite

@article{arxiv.1911.03119,
  title  = {Pattern distributions in Dyck paths with a first return decomposition constrained by height},
  author = {Jean-Luc Baril and Richard Genestier and Sergey Kirgizov},
  journal= {arXiv preprint arXiv:1911.03119},
  year   = {2020}
}
R2 v1 2026-06-23T12:09:00.815Z