A285697 - OEIS

A285697

Positions of 1 in A288741; complement of A288742.

2, 4, 5, 10, 12, 13, 15, 16, 18, 19, 24, 26, 27, 32, 34, 35, 37, 38, 40, 41, 43, 44, 46, 47, 52, 54, 55, 60, 62, 63, 65, 66, 68, 69, 74, 76, 77, 82, 84, 85, 87, 88, 90, 91, 93, 94, 96, 97, 99, 100, 102, 103, 108, 110, 111, 116, 118, 119, 121, 122, 124, 125

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

OFFSET

1,1

COMMENTS

Conjecture: a(n)/n -> 2, and -1/2 < 2 - a(n)/n < 1/3 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[23]] - 48 (* A288741 *)