Directed lattice paths avoiding periodic subset of points on "time"-axis
Combinatorics
2025-10-14 v1
Abstract
We compute generating functions of the set of directed lattice paths starting from the origin and avoiding a periodic set of even point on OX = "time"-axis. As an application we prove a combinatorial identity proposed by P. Hajnal and G.V. Nagy.
Keywords
Cite
@article{arxiv.2510.11367,
title = {Directed lattice paths avoiding periodic subset of points on "time"-axis},
author = {S. Tarasov},
journal= {arXiv preprint arXiv:2510.11367},
year = {2025}
}
Comments
10 pages, no figures, submitted