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 A288377 Fixed point of the mapping 00->0001, 1->10, starting with 00. 4
 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1 LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE Iterates, starting with 00: 00 0001 0001010 00010100100 00010100100001100001 00010100100001100001000110100001000110 MATHEMATICA s = {0, 0}; w[0] = StringJoin[Map[ToString, s]]; w[n_] := StringReplace[w[n - 1], {"00" -> "0001", "1" -> "10"}] Table[w[n], {n, 0, 8}] st = ToCharacterCode[w[11]] - 48   (* A288377 *) Flatten[Position[st, 0]]  (* A288378 *) Flatten[Position[st, 1]]  (* A288379 *) Table[StringLength[w[n]], {n, 1, 35}] (* A288380 conjectured *) CROSSREFS Cf. A288378, A288379, A288380. Sequence in context: A234577 A038189 A072783 * A341609 A064911 A174898 Adjacent sequences:  A288374 A288375 A288376 * A288378 A288379 A288380 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jun 09 2017 STATUS approved

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Last modified November 30 18:54 EST 2021. Contains 349424 sequences. (Running on oeis4.)