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 A288600 Fixed point of the mapping 00->0101, 10->1001, starting with 00. 4
 0, 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1 COMMENTS Iterates, starting with 00: 00 0101 010011 01001011 010010100111 010010100110010111 0100101001100101100101001111 Conjecture: the number of letters (0's and 1's) in the n-th iterate is given by A288603(n). Is this A288375 with a prefixed 0? - R. J. Mathar, Nov 04 2017 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" -> "0101", "10" -> "1001"}] Table[w[n], {n, 0, 8}] st = ToCharacterCode[w[11]] - 48   (* A288600 *) Flatten[Position[st, 0]]  (* A288601 *) Flatten[Position[st, 1]]  (* A288602 *) Table[StringLength[w[n]], {n, 1, 35}] (* A288603 conjectured *) CROSSREFS Cf. A288601, A288602, A288603. Sequence in context: A085242 A059620 A188014 * A284468 A260455 A189572 Adjacent sequences:  A288597 A288598 A288599 * A288601 A288602 A288603 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jun 14 2017 EXTENSIONS Definition corrected by Georg Fischer, May 28 2021 STATUS approved

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Last modified November 30 22:59 EST 2021. Contains 349426 sequences. (Running on oeis4.)