English

Cubefree words with many squares

Combinatorics 2009-04-14 v1 Formal Languages and Automata Theory

Abstract

We construct infinite cubefree binary words containing exponentially many distinct squares of length n. We also show that for every positive integer n, there is a cubefree binary square of length 2n.

Keywords

Cite

@article{arxiv.0811.3233,
  title  = {Cubefree words with many squares},
  author = {James Currie and Narad Rampersad},
  journal= {arXiv preprint arXiv:0811.3233},
  year   = {2009}
}

Comments

6 pages

R2 v1 2026-06-21T11:43:29.722Z