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arXiv · 2611.01554

Short Paper No. 1: Relation between integer sequence A319433 and the maximum degrees of finite linear Jaco graphs

Timothée Raso·Johan Kok
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Abstract

This short paper presents the interesting relation between integer sequence A319433 in https://oeis.org and the maximum degrees of the family of finite linear Jaco graphs $J_n(x)$ where $n = 1,2,3,\dots$. The result first appeared as a conjecture. Subsequently, a proof through AI-assisted mathematical reasoning came to the fore. Appropriate clarity remarks follow in the main text. It appears that $\textit{Golden ratio}$-like floor function plays an important role in the analysis of the graph structural properties of the family of finite linear Jaco graphs.

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Timothée Raso, Johan Kok. 2026-11-01. Short Paper No. 1: Relation between integer sequence A319433 and the maximum degrees of finite linear Jaco graphs. https://arxiv.org/abs/2611.01554

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