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A288243 Length of n-th iterate of the mapping 00->1000, 10->011, starting with 00. 6
2, 4, 7, 10, 14, 19, 26, 35, 45, 57, 71, 87, 106, 127, 151, 178, 208, 242, 279, 320, 366, 417, 473, 534, 601, 676, 759, 849, 947, 1054, 1172, 1302, 1442, 1594, 1759, 1939, 2136, 2346, 2573, 2819, 3086, 3376, 3685, 4018, 4379, 4770, 5192, 5642, 6126, 6650 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..49.

MATHEMATICA

z = 100; (* number of iterations *)

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

w[n_] := StringReplace[w[n - 1], {"00" -> "1000", "10" -> "011"}]

Table[StringLength[w[n]], {n, 0, z}]

CROSSREFS

Cf. A288226.

Sequence in context: A177237 A094281 A076101 * A170890 A079963 A261252

Adjacent sequences:  A288240 A288241 A288242 * A288244 A288245 A288246

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jul 10 2017

STATUS

approved

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Last modified February 24 19:27 EST 2020. Contains 332209 sequences. (Running on oeis4.)