A304683 - OEIS

%I #7 May 19 2018 12:41:32

%S 0,0,2,2,2,3,5,5,6,7,7,7,7,7,8,8,9,10,12,12,13,14,14,15,15,16,17,17,

%T 18,18,18,18,22,24,25,26,27,29,30,30,30,31,32,33,33,33,33,35,35,35,35,

%U 35,35,35,35,37,37,37,37,37,37,39,39,39,44,47,52,52,54,55,57,60,63,66,68,69,69,70,70,71,72,72

%N Number of odd positive integers 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.

%C Defant proved that a(n) is finite for all n.

%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.

%Y Cf. A010060.

%Y Cf. A304682, which gives the largest odd integer with the property.

%K nonn

%O 1,3

%A _Jeffrey Shallit_, May 16 2018