72493652

Appears in sequences

• Start with any initial string of n numbers s(1), ..., s(n), with s(1) = 2, other s(i)'s = 2 or 3 (so there are 2^(n-1) starting strings). The rule for extending the string is this as follows: To get s(n+1), write the string s(1)s(2)...s(n) as xy^k for words x and y (where y has positive length) and k is maximized, i.e., k = the maximal number of repeating blocks at the end of the sequence. Then a(n) = number of starting strings for which k = 1.at n=28A093371
• Number of binary sequences of length n with no initial repeats (or, with no final repeats).at n=27A122536
• Number of binary sequences of length 2n and curling number 1.at n=13A211966