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%I #9 Jul 01 2021 16:11:11
%S 2,2,2,3,2,4,5,2,2,2,4,2,8,2,2,2,4,3,2,6,2,2,2,8,2,4,3,2,2,3,6,2,3,2,
%T 2,2,10,3,2,3,3,3,3,13,2,2,2,4,2,5,4,2,2,2,5,2,6,2,2,2,6,3,3,4,2,2,2,
%U 12,2,3,2,2,2,5,5,2,3,2,3,2,21,2,2,2,4,3
%N a(n) is the largest k such that the tribonacci word A080843 contains a block of length k*n that is an abelian k-th power.
%C An abelian k-th power consists of k blocks x_1 x_2 ... x_k such that each x_i is a permutation of x_1. For example, the English word "deeded" is an abelian 3rd power.
%e For n=4, A080843 contains the block 2010.0102.0102, which is an abelian 3rd power. But no blocks of size 16 in A080843 are abelian 4th powers.
%Y Cf. A080843.
%K nonn
%O 1,1
%A _Jeffrey Shallit_, Jun 29 2021
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