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 A288508 0-limiting word of the mapping 00->0101, 10->001, starting with 00. 4
 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1 COMMENTS Iterates, starting with 00: 00 0101 00011 0101011 000100111 010100010111 00010010101001111 01010001000100100101111 000100101010010101001000100011111 The 0-limiting word is the limit taken over even-numbered iterations of the mapping. Conjecture: the number of letters (0's and 1's) in the n-th iterate is given by A288511(n). LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE The first 5 even-numberd iterates: 00 00011 000100111 00010010101001111 000100101010010101001000100011111 MATHEMATICA s = {0, 0}; w[0] = StringJoin[Map[ToString, s]]; w[n_] := StringReplace[w[n - 1], {"00" -> "0101", "10" -> "001"}] Table[w[n], {n, 0, 8}] st = ToCharacterCode[w[18]] - 48   (* A288508 *) Flatten[Position[st, 0]]  (* A288509 *) Flatten[Position[st, 1]]  (* A288510 *) Table[StringLength[w[n]], {n, 1, 35}] (* A288511 conjectured *) CROSSREFS Cf. A288509, A288510, A288511. Sequence in context: A320927 A134391 A102215 * A262588 A234577 A038189 Adjacent sequences:  A288505 A288506 A288507 * A288509 A288510 A288511 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jun 12 2017 STATUS approved

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Last modified May 26 10:17 EDT 2022. Contains 354086 sequences. (Running on oeis4.)