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A289177 Length of n-th iterate of the mapping 00->0010, 01->100, 10->011 in A289165. 4
2, 4, 7, 11, 17, 25, 38, 57, 85, 126, 185, 271, 396, 576, 835, 1208, 1745, 2515, 3622, 5215, 7509, 10814, 15583, 22470, 32423, 46820, 67651, 97800, 141457, 204684, 296265, 428950, 621218, 899829, 1303584, 1888759, 2736886, 3966153, 5747943, 8330630, 12074219 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..40.

MATHEMATICA

z = 41 ;  (* number of iterations *)

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

w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "100", "10" -> "011"}];

TableForm[Table[w[n], {n, 0, 6}]]

st = ToCharacterCode[w[z]] - 48 ;  (* A289174 *)

Table[StringLength[w[n]], {n, 0, z}] (* A289177 *)

CROSSREFS

Cf. A289174.

Sequence in context: A289060 A194805 A084842 * A249039 A280962 A096967

Adjacent sequences:  A289174 A289175 A289176 * A289178 A289179 A289180

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 29 2017

STATUS

approved

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Last modified July 5 03:05 EDT 2020. Contains 335457 sequences. (Running on oeis4.)