A288218 - OEIS

A288218

Positions of 1 in A288216; complement of A288217.

3, 6, 8, 12, 17, 20, 22, 28, 30, 35, 39, 42, 44, 48, 53, 57, 60, 62, 67, 69, 75, 78, 80, 86, 88, 93, 97, 100, 102, 108, 111, 113, 117, 122, 124, 129, 133, 136, 138, 143, 145, 151, 155, 158, 160, 164, 169, 172, 174, 180, 182, 187, 191, 194, 196, 200, 205, 209

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

OFFSET

1,1

COMMENTS

Conjecture: a(n)/n -> 3.61..., and if m denotes this number, then 0 < 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" -> "1000", "10" -> "010"}]

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

st = ToCharacterCode[w[21]] - 48 (* A288216 *)