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A317167 Number of distinct critical exponents possible, over all binary strings of length n. 1

%I

%S 1,2,3,3,5,6,9,11,14,16,20,21,27,30,33,36,44,47,55,58

%N Number of distinct critical exponents possible, over all binary strings of length n.

%C A string x has period p if x[i]=x[i+p] for all i that make sense. The shortest period is called "the" period. The exponent exp(x) of a string x of length n is defined to be n/p, where p is the period. The critical exponent of a string x is the maximum, over all nonempty contiguous subwords w of x, of exp(w).

%e For n = 6, there are 5 possible critical exponents: 6 (for 000000), 5 (for 000001), 4 (for 000011), 3 (for 000111), 2 (for 001001), and 5/2 (for 001010).

%K nonn,more

%O 1,2

%A _Jeffrey Shallit_, Jul 23 2018

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Last modified October 20 05:51 EDT 2020. Contains 337897 sequences. (Running on oeis4.)