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 A288858 2-limiting word of the mapping 00->1000, 10->011, starting with 00. 7
 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1 COMMENTS Iterates of the mapping, starting with 00: 00 1000 0111000 0110111000 01011110111000 0011111011110111000 10001111011111011110111000 01110001110111111011111011110111000 011011100011011111110111111011111011110111000 The 2-limiting word is the limit of the n-th iterates for n == 2 mod 5. The number of letters (0's and 1's) in the n-th iterate is given by A288243(n), for n >= 0. LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE The first two n-th iterates for n == 2 mod 5: 0111000 and 01110001110111111011111011110111000. (The lengths of the first 10 such iterates are 7, 35, 106, 242, 473, 849, 1442, 2346, 3685, 5642.) MATHEMATICA s = {0, 0}; w[0] = StringJoin[Map[ToString, s]]; w[n_] := StringReplace[w[n - 1], {"00" -> "1000", "10" -> "011"}] Table[w[n], {n, 0, 8}] st = ToCharacterCode[w[52]] - 48 (* A288858 *) Flatten[Position[st, 0]] (* A288859 *) Flatten[Position[st, 1]] (* A288860 *) Table[StringLength[w[n]], {n, 0, 30}] (* A288243 *) CROSSREFS Cf. A288226 (0-limiting word), A288855 (1-limiting word), A288861 (3-limiting word), A288864 (4-limiting word), A288859, A288860, A288243. Sequence in context: A029693 A200263 A051067 * A356313 A309218 A189718 Adjacent sequences: A288855 A288856 A288857 * A288859 A288860 A288861 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jun 23 2017 STATUS approved

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Last modified March 22 01:15 EDT 2023. Contains 361413 sequences. (Running on oeis4.)