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 A273129 The Rote-Fibonacci infinite sequence. 23
 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0 COMMENTS This is an aperiodic sequence that avoids the pattern x x x^R, where x is a nonempty block and x^R denotes the reversal of x. It can be generated as the limit of the words R(i), where R(0) = 0, R(1) = 00, and R(n) = R(n-1)R(n-2) if n == 0 (mod 3), and R(n) = R(n-1) c(R(n-2)) if n == 1, 2 (mod 3), where c flips 0 to 1 and vic-versa. It can also be generated as the image, under the coding that maps a, b -> 0 and c, d -> 1, of the fixed point (see A316340), starting with a, of the morphism a -> abcab, b -> cda, c -> cdacd, d -> abc. LINKS Jean-Paul Allouche, Julien Cassaigne, Jeffrey Shallit, Luca Q. Zamboni, A Taxonomy of Morphic Sequences, arXiv preprint arXiv:1711.10807, Nov 29 2017 C. F. Du, H. Mousavi, E. Rowland, L. Schaeffer, J. Shallit, Decision algorithms for Fibonacci-automatic words, II: related sequences and avoidability, preprint, February 10 2016. CROSSREFS Cf. A316340. Sequence in context: A189640 A289057 A106138 * A288936 A064990 A284388 Adjacent sequences:  A273126 A273127 A273128 * A273130 A273131 A273132 KEYWORD nonn AUTHOR Jeffrey Shallit, May 16 2016 STATUS approved

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Last modified December 12 09:36 EST 2019. Contains 329953 sequences. (Running on oeis4.)