



1, 2, 4, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 20, 21, 22, 24, 25, 27, 28, 29, 31, 33, 34, 35, 36, 38, 40, 41, 42, 44, 45, 46, 48, 49, 51, 52, 54, 55, 56, 58, 59, 60, 62, 64, 65, 67, 68, 69, 70, 72, 74, 75, 76, 77, 79, 81, 82, 83, 85, 86, 87, 89, 91, 92, 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" > "010", "10" > "100"}]
TableForm[Table[w[n], {n, 0, 10}]]
st = ToCharacterCode[w[z]]  48 (* A289071 *)
Flatten[Position[st, 0]] (* A289072 *)
Flatten[Position[st, 1]] (* A289073 *)


CROSSREFS

Cf. A289072, A289073.
Sequence in context: A026516 A289012 A186493 * A287379 A285954 A289075
Adjacent sequences: A289069 A289070 A289071 * A289073 A289074 A289075


KEYWORD

nonn,easy


AUTHOR

Clark Kimberling, Jun 27 2017


STATUS

approved



