A285352 - OEIS

A285352

Positions of 0 in A284932; complement of A285303.

1, 2, 5, 7, 8, 10, 11, 12, 15, 16, 17, 19, 21, 23, 24, 25, 27, 29, 30, 32, 33, 35, 36, 37, 39, 41, 42, 44, 45, 46, 49, 50, 51, 54, 55, 56, 58, 60, 61, 63, 64, 65, 68, 69, 70, 72, 74, 76, 77, 78, 80, 82, 84, 85, 86, 88, 90, 91, 93, 94, 95, 98, 99, 100, 102

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

OFFSET

1,2

COMMENTS

Conjecture: lim_{n->oo} a(n)/n = 0.55..., and if m denotes this number, then -1 < a(n)/n - m < 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" -> "001", "1" -> "10"}]

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

st = ToCharacterCode[w[11]] - 48 (* A284932 *)