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A289168 Length of n-th iterate of the mapping 00->0010, 01->100, 10->001 in A289165. 2
2, 4, 7, 12, 20, 34, 57, 96, 163, 277, 472, 803, 1368, 2328, 3963, 6745, 11481, 19542, 33260, 56612, 96369, 164036, 279208, 475288, 809027, 1377074, 2344072, 3990031, 6791680, 11560716, 19678465, 33496200, 57016621, 97052630 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..33.

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" -> "001"}];

st = ToCharacterCode[w[z]] - 48 ;  (* A289165 *)

v = Table[StringLength[w[n]], {n, 0, 30}] (* A289168 *)

CROSSREFS

Cf. A289165.

Sequence in context: A005182 A172524 A094925 * A289000 A289028 A186537

Adjacent sequences:  A289165 A289166 A289167 * A289169 A289170 A289171

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 29 2017

STATUS

approved

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Last modified May 21 11:15 EDT 2019. Contains 323443 sequences. (Running on oeis4.)