Skew Dyck paths with catastrophes
Combinatorics
2022-01-11 v2
Abstract
Skew Dyck paths are like Dyck paths, but an additional south-west step is allowed, provided that the path does not intersect itself. Lattice paths with catastrophes can drop from any level to the origin in just one step. We combine these two ideas. The analysis is strictly based on generating functions, and the kernel method is used.
Keywords
Cite
@article{arxiv.2201.02518,
title = {Skew Dyck paths with catastrophes},
author = {Helmut Prodinger},
journal= {arXiv preprint arXiv:2201.02518},
year = {2022}
}
Comments
Links to two sequences in the OEIS are provided (thanks to Michel Marcus)