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 A288596 Fixed point of the mapping 00->0101, 10->1000, starting with 00. 4
 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 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 0101 010001 0100001011 0100001010100011 0100001010100010001000010111 Conjecture: the number of letters (0's and 1's) in the n-th iterate is given by A288599(n). MATHEMATICA s = {0, 0}; w[0] = StringJoin[Map[ToString, s]]; w[n_] := StringReplace[w[n - 1], {"00" -> "0101", "10" -> "1000"}] Table[w[n], {n, 0, 8}] st = ToCharacterCode[w[11]] - 48   (* A288596 *) Flatten[Position[st, 0]]  (* A288597 *) Flatten[Position[st, 1]]  (* A288598 *) Table[StringLength[w[n]], {n, 1, 35}] (* A288599 conjectured *) CROSSREFS Cf. A288597, A288598, A288599. Sequence in context: A187969 A132151 A238469 * A284745 A103588 A153638 Adjacent sequences:  A288593 A288594 A288595 * A288597 A288598 A288599 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 December 6 06:14 EST 2021. Contains 349563 sequences. (Running on oeis4.)