A288553 Positions of 1 in A288551; complement of A288552.

3, 4, 7, 8, 11, 12, 14, 15, 18, 19, 21, 22, 25, 26, 29, 30, 33, 34, 36, 37, 40, 41, 43, 44, 47, 48, 51, 52, 55, 56, 58, 59, 62, 63, 65, 66, 68, 70, 72, 73, 75, 76, 79, 80, 82, 83, 86, 87, 90, 91, 94, 95, 97, 98, 101, 102, 104, 105, 107, 109, 111, 112, 114

Offset: 1

Author

Clark Kimberling, Jun 14 2017

Keywords

• nonn
• easy

Comments

Conjecture: a(n)/n -> 1.74..., and if m denotes this number, then -2 < m - a(n)/n < 1 for n >= 1.

Links

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

Crossrefs

Cf. A288551, A288552, A288276.

Programs

Mathematica

s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];
w[n_] := StringReplace[w[n - 1], {"00" -> "0101", "1" -> "011"}]
Table[w[n], {n, 0, 8}]
st = ToCharacterCode[w[10]] - 48   (* A288551 *)
Flatten[Position[st, 0]]  (* A288552 *)
Flatten[Position[st, 1]]  (* A288553 *)