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1, 2, 4, 5, 6, 8, 9, 11, 12, 13, 15, 18, 19, 21, 22, 25, 28, 29, 31, 34, 35, 37, 39, 40, 43, 44, 46, 49, 52, 53, 55, 58, 61, 62, 64, 66, 67, 69, 72, 75, 76, 79, 80, 82, 85, 88, 89, 92, 93, 95, 98, 101, 102, 104, 105, 106, 109, 110, 113, 114, 116, 119, 120
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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Conjecture: a(n)/n -> 2.14..., and if m denotes this number, then 0 < a(n)/n < m - 1 for n >= 1.
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LINKS
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MATHEMATICA
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z = 11; (* number of iterates *)
s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];
w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "011", "10" -> "001"}]
TableForm[Table[w[n], {n, 0, 10}]]
st = ToCharacterCode[w[z]] - 48 (* A289112 *)
Flatten[Position[st, 0]] (* A289113 *)
Flatten[Position[st, 1]] (* A289114 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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