Voozh

A288730

Positions of 0 in A288729; complement of A288731.

1, 2, 5, 8, 9, 10, 11, 12, 15, 18, 21, 24, 25, 26, 27, 28, 31, 34, 35, 36, 37, 38, 41, 44, 47, 50, 53, 56, 57, 58, 59, 60, 63, 66, 67, 68, 69, 70, 73, 76, 79, 82, 83, 84, 85, 86, 89, 92, 93, 94, 95, 96, 99, 102, 105, 108, 111, 114, 117, 120, 121, 122, 123

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

OFFSET

1,2

COMMENTS

Conjecture: a(n)/n -> 2, and 0 < 2 - 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" -> "01"}]

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

st = ToCharacterCode[w[9]] - 48 (* A288729 *)