Journal of Integer Sequences, Vol. 16 (2013), Article 13.9.4

Concerning Kurosaki’s Squarefree Word

Serina Camungol and Narad Rampersad
Department of Mathematics and Statistics
University of Winnipeg
515 Portage Ave.
Winnipeg, Manitoba R3B 2E9


In 2008, Kurosaki gave a new construction of a (bi-)infinite squarefree word over three letters. We show that in fact Kurosakis word avoids (7/4)+-powers, which, as shown by Dejean, is optimal over a 3-letter alphabet.

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(Concerned with sequence A217522.)

Received August 9 2013; revised version received October 3 2013. Published in Journal of Integer Sequences, October 13 2013.

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