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A274451 Number of possible sets of antipower periods for binary strings of length n. 4

%I

%S 1,2,1,2,1,4,1,3,2,2,1,6,1,2,4,3,1,5,1,6,4,2,1,11,2,2,2,6,1,10,1,4

%N Number of possible sets of antipower periods for binary strings of length n.

%C An antiperiod of a length-n string x is a divisor l of n such that if you factor x as the concatenation of (n/l) blocks of length l, then all these blocks are distinct.

%H G. Fici, A. Restivo, M. Silva, and L. Q. Zamboni, <a href="http://arxiv.org/abs/1606.02868">Anti-powers in infinite words</a>, arxiv preprint, 1606.02868v1 [cs.DM], June 9 2016.

%e For n = 12 there are six possible sets, achieved by the string that follows each: {12} 000000000000; {6,12} 000000000001; {4,6,12} 000000010010; {4,12} 000001000001; {3,4,6,12} 000001010011; {3,6,12} 000001010101.

%Y Cf. A274409, A274449, A274450.

%K nonn

%O 1,2

%A _Jeffrey Shallit_, Jun 23 2016

%E a(19)-a(32) from _Bjarki Ágúst Guðmundsson_, Jul 07 2016

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Last modified October 22 18:45 EDT 2021. Contains 348175 sequences. (Running on oeis4.)