A288731 Positions of 1 in A288729; complement of A288730.

3, 4, 6, 7, 13, 14, 16, 17, 19, 20, 22, 23, 29, 30, 32, 33, 39, 40, 42, 43, 45, 46, 48, 49, 51, 52, 54, 55, 61, 62, 64, 65, 71, 72, 74, 75, 77, 78, 80, 81, 87, 88, 90, 91, 97, 98, 100, 101, 103, 104, 106, 107, 109, 110, 112, 113, 115, 116, 118, 119, 125, 126

Offset

1,1

Comments

Conjecture: a(n)/n-> 2, and 0 < 2 - a(n)/n) < 1/4 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" -> "01"}]
Table[w[n], {n, 0, 8}]
st = ToCharacterCode[w[9]] - 48   (* A288729 *)
Flatten[Position[st, 0]]  (* A288730 *)
Flatten[Position[st, 1]]  (* A288731 *)

Crossrefs

Cf. A288729, A288730.

Sequence in context: A002982 A290432 A276783 * A326422 A093707 A058639

Adjacent sequences: A288728 A288729 A288730 * A288732 A288733 A288734

Keyword

nonn,easy

Author

Clark Kimberling, Jun 16 2017

Status

approved