Lattice paths enumerations weighted by ascent lengths
Combinatorics
2025-09-17 v2
Abstract
Recent work of the author connected several parking function enumeration problems to enumerations of Catalan paths with respect to certain weight functions that are expressed in terms of the ascent lengths. Motivated by this, we generalise and solve analogous weighted enumeration problems for a large family of lattice paths and weight functions, and discuss their connections with other enumeration problems and OEIS entries.
Keywords
Cite
@article{arxiv.2501.01152,
title = {Lattice paths enumerations weighted by ascent lengths},
author = {Jun Yan},
journal= {arXiv preprint arXiv:2501.01152},
year = {2025}
}
Comments
17 pages, published on Discrete Mathematics, minor changes made