Generating Functions for Restricted Motzkin Paths in a Slit for Arbitrary Weights
Combinatorics
2023-06-13 v1
Abstract
In this paper, I derive a generating function for discrete Motzkin paths of step size +2,+1,-1, restricted between two absorbing parallel lines, and generalized to arbitrary step weights. This continues off work of similar problems involving directed paths with either single barriers, uniform step size, or uniform weights.
Keywords
Cite
@article{arxiv.2306.06771,
title = {Generating Functions for Restricted Motzkin Paths in a Slit for Arbitrary Weights},
author = {Cetin Hakimoglu-Brown},
journal= {arXiv preprint arXiv:2306.06771},
year = {2023}
}
Comments
9 pages