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A289076

Positions of 1 in A289074; complement of A289075.

3, 5, 8, 12, 13, 16, 19, 20, 21, 25, 26, 29, 31, 32, 33, 38, 40, 41, 45, 46, 48, 49, 50, 51, 56, 59, 60, 62, 63, 64, 69, 71, 72, 75, 76, 77, 78, 83, 86, 87, 90, 92, 93, 96, 97, 98, 103, 106, 107, 109, 110, 111, 115, 116, 117, 118, 119, 124, 127, 128, 131

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OFFSET

1,1

COMMENTS

Conjecture: a(n)/n -> 2.05..., and if m denotes this number, then -1 < m - a(n)/n < 0 for n >= 1.

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

MATHEMATICA

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" -> "100"}]

TableForm[Table[w[n], {n, 0, 10}]]