A289002 - OEIS

A289002

Positions of 0 in A289235; complement of A289151.

1, 2, 4, 5, 6, 7, 8, 9, 11, 12, 13, 15, 17, 18, 19, 20, 22, 24, 25, 27, 28, 29, 30, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 49, 50, 51, 53, 54, 55, 56, 57, 58, 60, 61, 62, 63, 64, 65, 67, 68, 69, 71, 72, 73, 75, 76, 77, 78, 79, 80, 82, 84, 85

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

OFFSET

1,2

COMMENTS

Conjecture: a(n)/n -> 1.28..., 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" -> "000"}]

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