A289012 - OEIS

A289012

Positions of 0 in A289011; complement of A289013.

1, 2, 4, 6, 7, 9, 10, 11, 12, 14, 15, 17, 18, 19, 21, 23, 24, 25, 26, 28, 29, 31, 32, 33, 35, 36, 38, 39, 41, 42, 43, 45, 47, 48, 49, 50, 52, 53, 55, 56, 57, 59, 60, 62, 64, 65, 66, 67, 69, 70, 72, 73, 74, 76, 77, 79, 80, 82, 83, 84, 86, 88, 89, 90, 91, 93

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OFFSET

1,2

COMMENTS

Conjecture: a(n)/n -> sqrt(2), and -1 < sqrt(2) - a(n)/n < -1 + sqrt(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" -> "100"}]

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