November 2023 A generalized binomial theorem for induced weak compositions
Josh Hiller
Missouri J. Math. Sci. 35(2): 188-193 (November 2023). DOI: 10.35834/2023/3502188

Abstract

In this short note we prove a generalization of the binomial theorem within the context of enumerating induced weak compositions for a given fixed composition of an integer $n$. We then use our results to prove generalizations of well known binomial coefficient identities.

Citation

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Josh Hiller. "A generalized binomial theorem for induced weak compositions." Missouri J. Math. Sci. 35 (2) 188 - 193, November 2023. https://doi.org/10.35834/2023/3502188

Information

Published: November 2023
First available in Project Euclid: 28 November 2023

Digital Object Identifier: 10.35834/2023/3502188

Subjects:
Primary: 11B65
Secondary: 05A17 , 11B75

Keywords: binomial theorem , integer composition , weak composition

Rights: Copyright © 2023 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.35 • No. 2 • Nov 2023
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