A289008 - OEIS

A289008

Positions of 0 in A289007; complement of A289009.

1, 2, 4, 5, 8, 9, 11, 14, 15, 17, 18, 20, 23, 24, 26, 27, 29, 30, 34, 37, 38, 40, 41, 43, 44, 47, 48, 51, 55, 58, 59, 61, 62, 64, 65, 68, 69, 71, 74, 75, 77, 82, 86, 89, 90, 92, 93, 95, 96, 99, 100, 102, 105, 106, 108, 109, 111, 114, 115, 117, 118, 122, 127

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OFFSET

1,2

COMMENTS

Conjecture: a(n)/n -> 2.37..., and if m denotes this number, then 0 < m - a(n)/n < 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" -> "001", "10" -> "011"}]

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