Voozh

A288379

Positions of 1 in A288377; complement of A288378.

4, 6, 9, 14, 15, 20, 24, 25, 27, 32, 36, 37, 42, 44, 46, 49, 54, 58, 59, 64, 66, 68, 73, 77, 78, 81, 84, 89, 90, 95, 99, 100, 105, 107, 109, 114, 118, 119, 122, 125, 130, 134, 135, 140, 142, 144, 149, 150, 155, 156, 161, 165, 166, 168, 173, 177, 178, 183

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OFFSET

1,1

COMMENTS

Conjecture: a(n)/n-> 3.13..., and if m denotes this number, then -1 < m - a(n)/n < 1 for n >= 1.

LINKS

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

MATHEMATICA

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

w[n_] := StringReplace[w[n - 1], {"00" -> "0001", "1" -> "10"}]

Table[w[n], {n, 0, 8}]

st = ToCharacterCode[w[11]] - 48 (* A288377 *)