A289129 - OEIS

A289129

Positions of 0 in A289128; complement of A289130.

1, 2, 4, 5, 7, 8, 11, 12, 14, 16, 18, 19, 22, 25, 28, 29, 31, 33, 35, 37, 39, 41, 43, 44, 47, 50, 53, 56, 59, 62, 65, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 97, 100, 103, 106, 109, 112, 115, 118, 121, 124, 127, 130, 133, 136, 139

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

OFFSET

1,2

COMMENTS

Conjecture: a(n)/n -> 5/2..., and 0 < 5/2 - a(n)/n < 3/2 for n >= 1.

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

MATHEMATICA

z = 11; (* number of iterates *)

s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];

w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "011", "10" -> "010"}]

TableForm[Table[w[n], {n, 0, 10}]]