Aberkane, Ali; Currie, James D.; Rampersad, Narad The number of ternary words avoiding abelian cubes grows exponentially. (English) Zbl 1101.68741 J. Integer Seq. 7, No. 2, Art. 04.2.7, 13 p. (2004). Summary: We show that the number of ternary words of length \(n\) avoiding abelian cubes grows faster than \(r^n\), where \(r = 2^{1/24}\). Cited in 11 Documents MSC: 68R15 Combinatorics on words 05A05 Permutations, words, matrices Software:OEIS PDFBibTeX XMLCite \textit{A. Aberkane} et al., J. Integer Seq. 7, No. 2, Art. 04.2.7, 13 p. (2004; Zbl 1101.68741) Full Text: EuDML EMIS Online Encyclopedia of Integer Sequences: Number of Abelian cubefree words over a 3-letter alphabet.