3AP-free permutations have no exponential growth rate

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Détails bibliographiques
Auteur principal:	Ho, Boon Suan
Format:	Preprint
Publié:	2026
Sujets:	Combinatorics
Accès en ligne:	Acceder al recurso
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author	Ho, Boon Suan
author_facet	Ho, Boon Suan
contents	Let $θ(n)$ be the number of permutations of $\{1,\dots,n\}$ with no $3$-term arithmetic progressions. We prove that $\lim_{n\to\infty}θ(n)^{1/n}$ does not exist.
format	Preprint
id	arxiv_https___arxiv_org_abs_2602_13617
institution	arXiv
publishDate	2026
record_format	arxiv
spellingShingle	3AP-free permutations have no exponential growth rate Ho, Boon Suan Combinatorics Let $θ(n)$ be the number of permutations of $\{1,\dots,n\}$ with no $3$-term arithmetic progressions. We prove that $\lim_{n\to\infty}θ(n)^{1/n}$ does not exist.
title	3AP-free permutations have no exponential growth rate
topic	Combinatorics
url	https://arxiv.org/abs/2602.13617

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