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 A285196 If A_k denotes the first 2*3^k terms, then A_0 = 01, A_{k+1} = A_k A_k B_k, where B_k is obtained from A_k by interchanging 0's and 1's. 2
 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0 COMMENTS In other words, the sequence is the limit of A_k as k -> oo. This is a cubefree sequence. REFERENCES J.-P. Allouche and J. Shallit, Automatic Sequences, Cambridge Univ. Press, 2003, p. 28, #49. LINKS MAPLE with(ListTools); f2:=proc(S) map(x->x+1 mod 2, S); end; f:=proc(S) global f2; [op(S), op(S), op(f2(S))]; end; S:=[0, 1]; for n from 1 to 6 do S:=f(S): od: S; CROSSREFS See A064990 for a very similar sequence. The Thue-Morse sequence A010060 is a classical example of a cubefree sequence. A282317 is the lexicographically earliest binary cubefree sequence. Sequence in context: A286685 A284878 A118006 * A189673 A189014 A189017 Adjacent sequences:  A285193 A285194 A285195 * A285197 A285198 A285199 KEYWORD nonn AUTHOR N. J. A. Sloane, Apr 30 2017 STATUS approved

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Last modified December 15 12:13 EST 2019. Contains 329999 sequences. (Running on oeis4.)