A Compendium of Motzkin-Like Path Generating Functions

We catalog fifteen types of Motzkin-like paths with various restrictions and use the symbolic method to determine their generating functions, several of which are new. We also introduce a new type of Motzkin path corresponding to a walk on a circle, rather than on a line.

Authors

Publication Details

Journal
The PUMP Journal of Undergraduate Research
Published
2025-09-18
DOI
https://doi.org/10.46787/pump.v8i.5719
Primary Topic
Topological and Geometric Data Analysis
Type
article
Field-Weighted Citation Impact
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article

A Compendium of Motzkin-Like Path Generating Functions

Jacob Vogelpohl
The PUMP Journal of Undergraduate Research
Topological and Geometric Data Analysis
article

A Compendium of Motzkin-Like Path Generating Functions

Jacob Vogelpohl
article en

Abstract

We catalog fifteen types of Motzkin-like paths with various restrictions and use the symbolic method to determine their generating functions, several of which are new. We also introduce a new type of Motzkin path corresponding to a walk on a circle, rather than on a line.

The PUMP Journal of Undergraduate ResearchVol. 8
Openalex Percentile: Top 73%
Topological and Geometric Data Analysis
DOIOpen Access PDFOpenAlex
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