Infinite words containing squares at every position
James Currie, Narad Rampersad (2010)
RAIRO - Theoretical Informatics and Applications
Similarity:
Richomme asked the following question: what is the infimum of the real numbers > 2 such that there exists an infinite word that avoids -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 = 7/3.