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1, 2, 4, 5, 9, 10, 12, 16, 17, 19, 20, 22, 26, 27, 28, 29, 31, 32, 37, 40, 41, 43, 45, 46, 47, 48, 50, 54, 58, 62, 63, 65, 66, 67, 68, 70, 71, 72, 74, 75, 80, 85, 90, 94, 95, 96, 97, 99, 100, 101, 103, 104, 107, 108, 110, 111, 115, 116, 119, 125, 131, 136
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listen;
history;
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OFFSET
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1,2
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COMMENTS
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Conjecture: a(n)/n -> 2.2..., and if m denotes this number, then -1 < m - a(n)/n < m - 1 for n >= 1.
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LINKS
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Clark Kimberling, Table of n, a(n) for n = 1..10000
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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" -> "100", "10" -> "011"}]
TableForm[Table[w[n], {n, 0, 10}]]
st = ToCharacterCode[w[z]] - 48 (* A289174 *)
Flatten[Position[st, 0]] (* A289175 *)
Flatten[Position[st, 1]] (* A289176 *)
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CROSSREFS
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Cf. A289174, A289176, A289177.
Sequence in context: A047613 A036795 A307563 * A274693 A024618 A089221
Adjacent sequences: A289172 A289173 A289174 * A289176 A289177 A289178
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KEYWORD
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nonn,easy
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AUTHOR
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Clark Kimberling, Jun 29 2017
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STATUS
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approved
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