Lattice paths with infinitely many down steps -- the negative boundary model
Combinatorics
2021-08-31 v1
Abstract
We consider a variation of Dyck paths, where additionally to steps and down-steps , for are allowed. We give credits to Emeric Deutsch for that. The enumeration of such objects living in a strip is performed. Methods are the kernel method and techniques from linear algebra.
Keywords
Cite
@article{arxiv.2108.12797,
title = {Lattice paths with infinitely many down steps -- the negative boundary model},
author = {Helmut Prodinger},
journal= {arXiv preprint arXiv:2108.12797},
year = {2021}
}
Comments
Very early draft. Suggestions are welcome!