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arXiv · 0803.1189

Infinite words containing squares at every position

James D. Currie·Narad Rampersad
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Abstract

Richomme asked the following question: what is the infimum of the real numbers $α$ > 2 such that there exists an infinite word that avoids $α$-powers but contains arbitrarily large squares beginning at every position? We resolve this question in the case of a binary alphabet by showing that the answer is $α$ = 7/3.

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James D. Currie, Narad Rampersad. 2008-04-04. Infinite words containing squares at every position. https://arxiv.org/abs/0803.1189

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