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 A288375 Fixed point of the mapping 00->1000, 10->1001, starting at 00. 4
 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1 COMMENTS The first 5 iterates of the mapping: 00 1000 10011000 100010110011000 100101001110010110011000 No iterate is an initial subword of its successor. LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 MATHEMATICA s = {0, 0}; w[0] = StringJoin[Map[ToString, s]]; w[n_] := StringReplace[w[n - 1], {"00" -> "1000", "10" -> "1001"}] TableForm[Table[w[n], {n, 0, 10}]] st = ToCharacterCode[w[24]] - 48;   (* A288375 *) p0 = Flatten[Position[st, 0]];  (* A288625 *) p1 = Flatten[Position[st, 1]];  (* A283794 *) Table[StringLength[w[n]], {n, 0, 30}] (* A019274 *) CROSSREFS Cf. A288625, A283794, A019274. Sequence in context: A194681 A065043 A189298 * A121559 A004641 A266441 Adjacent sequences:  A288372 A288373 A288374 * A288376 A288377 A288378 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jun 24 2017 EXTENSIONS Definition corrected by Georg Fischer, Jul 18 2019 STATUS approved

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Last modified November 30 13:04 EST 2021. Contains 349419 sequences. (Running on oeis4.)