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The Number of Ternary Words Avoiding Abelian Cubes Grows Exponentially

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Author

Currie, James
Rampersad, Narad
Aberkane, Ali

Uri

http://hdl.handle.net/10680/1751

Date

2004-06-19

Doi

cs.uwaterloo.ca/journals/JIS/VOL7/Currie/currie18.pdf

Citation

Journal of Integer Sequences, Vol. 7 (2004), Article 04.2.7

Abstract

We show that the number of ternary words of length n avoiding abelian cubes grows faster than r^n, where r = 2^{1/24}

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