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3, 6, 8, 11, 16, 19, 23, 25, 30, 33, 37, 40, 43, 47, 49, 54, 57, 61, 64, 66, 71, 74, 78, 81, 84, 88, 90, 95, 98, 102, 105, 107, 110, 115, 119, 122, 124, 129, 131, 136, 139, 141, 146, 148, 151, 156, 160, 163, 165, 170, 172, 177, 180, 183, 185, 190, 194, 197
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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Conjecture: a(n)/n -> 2+sqrt(2)..., and 0 < 2+sqrt(2)-a(n)/n < = 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" -> "100", "10" -> "010"}]
TableForm[Table[w[n], {n, 0, 10}]]
st = ToCharacterCode[w[z]] - 48 (* A289239 *)
Flatten[Position[st, 0]] (* A289240 *)
Flatten[Position[st, 1]] (* A289241 *)
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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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