Binary words avoiding the pattern AABBCABBA
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 44 (2010) no. 1, pp. 151-158.

We show that there are three types of infinite words over the two-letter alphabet {0,1} that avoid the pattern AABBCABBA. These types, P, E0, and E1, differ by the factor complexity and the asymptotic frequency of the letter 0. Type P has polynomial factor complexity and letter frequency $\frac{1}{2}$. Type E0 has exponential factor complexity and the frequency of the letter 0 is at least 0.45622 and at most 0.48684. Type E1 is obtained from type E0 by exchanging 0 and 1.

DOI : https://doi.org/10.1051/ita/2010010
Classification : 68R15
Mots clés : combinatorics on words, letter frequency, factor complexity
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author = {Ochem, Pascal},
title = {Binary words avoiding the pattern {AABBCABBA}},
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pages = {151--158},
publisher = {EDP-Sciences},
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url = {http://www.numdam.org/articles/10.1051/ita/2010010/}
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Ochem, Pascal. Binary words avoiding the pattern AABBCABBA. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 44 (2010) no. 1, pp. 151-158. doi : 10.1051/ita/2010010. http://www.numdam.org/articles/10.1051/ita/2010010/

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