A289175 - OEIS

A289175

Positions of 0 in A289174; complement of A289176.

1, 2, 4, 5, 9, 10, 12, 16, 17, 19, 20, 22, 26, 27, 28, 29, 31, 32, 37, 40, 41, 43, 45, 46, 47, 48, 50, 54, 58, 62, 63, 65, 66, 67, 68, 70, 71, 72, 74, 75, 80, 85, 90, 94, 95, 96, 97, 99, 100, 101, 103, 104, 107, 108, 110, 111, 115, 116, 119, 125, 131, 136

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

OFFSET

1,2

COMMENTS

Conjecture: a(n)/n -> 2.2..., and if m denotes this number, then -1 < m - a(n)/n < m - 1 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" -> "100", "10" -> "011"}]

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