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Infinite words containing squares at every position
Published 7 Mar 2008 in math.CO and cs.FL | (0803.1189v2)
Abstract: Richomme asked the following question: what is the infimum of the real numbers $\alpha$ > 2 such that there exists an infinite word that avoids $\alpha$-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 $\alpha$ = 7/3.
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