A289166 - OEIS

A289166

Positions of 0 in A289165; complement of A289167.

1, 2, 4, 5, 6, 8, 9, 11, 12, 13, 16, 17, 18, 19, 21, 23, 24, 25, 26, 28, 29, 31, 33, 34, 36, 37, 38, 39, 41, 42, 43, 45, 46, 47, 50, 51, 53, 54, 55, 56, 58, 59, 60, 62, 63, 65, 67, 68, 69, 70, 72, 74, 75, 76, 77, 79, 81, 82, 83, 84, 87, 88, 89, 90, 92, 93

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

OFFSET

1,2

COMMENTS

Conjecture: a(n)/n -> 1.42..., 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" -> "001"}]

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