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.
Full version: pdf,
(Concerned with sequence
Received August 9 2013;
revised version received October 3 2013.
Published in Journal of Integer Sequences, October 13 2013.
Journal of Integer Sequences home page