A Compendium of Motzkin-Like Path Generating Functions

Authors

  • Jacob Vogelpohl Morehead State University

DOI:

https://doi.org/10.46787/pump.v8i.5719

Keywords:

Motzkin path; Motzkin numbers; symbolic method; generating functions

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.

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Published

2025-09-18

How to Cite

Jacob Vogelpohl. (2025). A Compendium of Motzkin-Like Path Generating Functions. The PUMP Journal of Undergraduate Research, 8, 381–398. https://doi.org/10.46787/pump.v8i.5719

Issue

Vol. 8 (2025): PUMP Journal of Undergraduate Research

Section

Articles

License

Copyright (c) 2025 Jacob Vogelpohl

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