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A289153 Length of n-th iterate of the mapping 00->0010, 01->100, 10->000 in A289001. 2
2, 4, 7, 12, 22, 39, 68, 122, 217, 385, 687, 1224, 2181, 3895, 6945, 12363, 22001, 39161, 69711, 124107, 220901, 393356, 700465, 1247432, 2221413, 3955905, 7044756, 12545540, 22340117, 39782044, 70842477 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..30.

MATHEMATICA

z = 22; (* number of iterates *)

s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];

w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "100", "10" -> "000"}];

st = ToCharacterCode[w[z]] - 48 ;  (* A289235 *)

v = Table[StringLength[w[n]], {n, 0, 30}] (* A289153 *)

CROSSREFS

Cf. A289235.

Sequence in context: A287439 A026713 A288996 * A289019 A254685 A002573

Adjacent sequences:  A289150 A289151 A289152 * A289154 A289155 A289156

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 29 2017

STATUS

approved

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Last modified January 19 16:16 EST 2021. Contains 340270 sequences. (Running on oeis4.)