%I #11 May 19 2018 12:41:20

%S 3,3,3,9,9,9,15,17,17,17,17,17,17,17,27,33,33,33,41,45,45,45,45,45,45,

%T 45,45,45,45,45,63,77,77,77,77,77,77,77,77,77,87,87,87,87,87,87,87,87,

%U 87,87,87,87,87,87,87,87,87,87,87,87,87,87,123,153,153,153,165,165,165,175,175,185,185,185,185

%N Largest odd positive integer t such that the prefix of length tn of the Thue-Morse sequence (A010060) is not an n-antipower.

%C A word of length tn is an n-antipower if all n consecutive blocks of length t are distinct.

%H Colin Defant, <a href="http://www.combinatorics.org/ojs/index.php/eljc/article/view/v24i1p32">Anti-Power Prefixes of the Thue-Morse Word</a>, Electronic J. Combinatorics 24 (1) (2017), Paper #P1.32.

%H Gabriele Fici, Antonio Restivo, Manuel Silva, and Luca Q. Zamboni, <a href="https://arxiv.org/abs/1606.02868">Anti-powers in infinite words</a>, arXiv:1606.02868 [cs.DM], 2016-2018.

%H Gabriele Fici, Antonio Restivo, Manuel Silva, and Luca Q. Zamboni, <a href="https://doi.org/10.1016/j.jcta.2018.02.009">Anti-powers in infinite words</a>, Journal of Combinatorial Theory, Series A 157 (2018), 109-119.

%Y Cf. A010060, A304681.

%K nonn

%O 3,1

%A _Jeffrey Shallit_, May 16 2018