A288635 - OEIS

A288635

Positions of 1 in A288633; complement of A288634.

2, 5, 6, 8, 10, 13, 16, 19, 20, 22, 25, 26, 28, 31, 32, 34, 36, 39, 42, 43, 45, 47, 50, 53, 54, 56, 58, 61, 64, 67, 68, 70, 73, 74, 76, 78, 81, 84, 87, 88, 90, 93, 94, 96, 98, 101, 104, 107, 108, 110, 113, 114, 116, 119, 120, 122, 124, 127, 130, 131, 133

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

OFFSET

1,1

COMMENTS

Conjecture: a(n)/n->2.19..., and if m denotes this number, then -1 < 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" -> "0110", "1" -> "10"}]

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

st = ToCharacterCode[w[10]] - 48 (* A288633 *)