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arXiv · 2609.10526

Irreducibility of truncations of the Catalan generating function

Shin-ichiro Seki
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Abstract

We prove that, for every positive integer $n$, the polynomial $C_0+C_1x+\cdots+C_nx^n$ is irreducible over $\mathbb{Q}$, where $C_k$ denotes the $k$th Catalan number.

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Shin-ichiro Seki. 2026-09-09. Irreducibility of truncations of the Catalan generating function. https://arxiv.org/abs/2609.10526

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