A288522 - OEIS

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A288522

Positions of 1 in A288520; complement of A288521.

3, 6, 9, 12, 14, 16, 19, 21, 23, 26, 28, 30, 34, 38, 41, 43, 45, 49, 53, 56, 58, 60, 64, 68, 72, 75, 78, 82, 85, 88, 91, 93, 95, 99, 103, 107, 110, 113, 117, 120, 123, 126, 128, 130, 134, 138, 142, 145, 148, 152, 155, 158, 162, 165, 168, 171, 173, 175, 178

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Conjecture: a(n)/n -> 2.91..., 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" -> "0101", "10" -> "010"}]

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

st = ToCharacterCode[w[18]] - 48 (* A288520 *)