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A289019 Length of n-th iterate of the mapping 00->0010, 01->010, 10->000, starting with 00. 2
2, 4, 7, 12, 22, 39, 69, 122, 217, 386, 687, 1224, 2181, 3883, 6910, 12305, 21906, 38991, 69421, 123609, 220110, 391929, 697931, 1242873, 2213237, 3941323, 7018445, 12497917, 22255832, 39632383, 70576606, 125680814, 223808756 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..33.

MATHEMATICA

z = 32; (* number of iterates *)

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

w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "010", "10" -> "000"}]

Table[StringLength[w[n]], {n, 0, z}] (* A289019 *)

CROSSREFS

Cf. A289016.

Sequence in context: A026713 A288996 A289153 * A254685 A002573 A288317

Adjacent sequences:  A289016 A289017 A289018 * A289020 A289021 A289022

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 27 2017

STATUS

approved

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Last modified September 21 22:33 EDT 2020. Contains 337274 sequences. (Running on oeis4.)