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 A288926 1-limiting word of the mapping 00->1000, 10->0001, starting with 00. 4
 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1 COMMENTS Iterates of the mapping, starting with 00: 00 1000 00011000 10000100011000 00011000000011000100011000 100001000110001000100010001100000011000100011000 The 1-limiting word is the limit of the n-th iterates for n == 1 mod 2. Conjecture: the number of letters (0's and 1's) in the n-th iterate is given by A288925(n), for n >= 0. LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE The first three iterates for n == 1 mod 2: 1000 10000100011000 100001000110001000100010001100000011000100011000 MATHEMATICA s = {0, 0}; w[0] = StringJoin[Map[ToString, s]]; w[n_] := StringReplace[w[n - 1], {"00" -> "1000", "10" -> "0001"}] Table[w[n], {n, 0, 8}] st = ToCharacterCode[w[53]] - 48 (* A288926 *) Flatten[Position[st, 0]] (* A288927 *) Flatten[Position[st, 1]] (* A288928 *) Table[StringLength[w[n]], {n, 0, 30}] (* A288925 *) CROSSREFS Cf. A288710 (0-limiting word), A288927, A288928, A288925. Sequence in context: A322075 A288220 A173856 * A027356 A181663 A247223 Adjacent sequences: A288923 A288924 A288925 * A288927 A288928 A288929 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jun 25 2017 STATUS approved

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Last modified November 29 09:15 EST 2022. Contains 358422 sequences. (Running on oeis4.)