A288553 - OEIS

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

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

OFFSET

1,1

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

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 *)