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 A288936 Fixed point of the mapping 00->0010, 01->011, 10->011, starting with 00. 3
 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1 COMMENTS Conjecture: the number of letters (0s and 1s) in the n-th iterate of the mapping is given by A000124. LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 FORMULA The first six iterates of the mapping: 00 0010 0010011 00100110111 0010011011011111 0010011011011101111111 MATHEMATICA z = 11; (* number of iterates *) s = {0, 0}; w[0] = StringJoin[Map[ToString, s]]; w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "011", "10" -> "011"}] TableForm[Table[w[n], {n, 0, 10}]] st = ToCharacterCode[w[z]] - 48   (* A288936 *) Flatten[Position[st, 0]]  (* A288937 *) Flatten[Position[st, 1]]  (* A288938 *) Table[StringLength[w[n]], {n, 0, 20}] (* A000124 conjectured *) CROSSREFS Cf. A000124, A288937, A288938. Sequence in context: A289057 A106138 A273129 * A064990 A284388 A289174 Adjacent sequences:  A288933 A288934 A288935 * A288937 A288938 A288939 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jun 28 2017 STATUS approved

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Last modified December 13 03:41 EST 2019. Contains 329968 sequences. (Running on oeis4.)