



3, 6, 7, 9, 12, 15, 16, 18, 21, 24, 27, 28, 30, 33, 36, 37, 39, 42, 45, 48, 49, 51, 54, 57, 58, 60, 63, 66, 67, 69, 72, 75, 78, 79, 81, 84, 87, 88, 90, 93, 96, 99, 100, 102, 105, 108, 109, 111, 114, 117, 118, 120, 123, 126, 129, 130, 132, 135, 138, 139, 141
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OFFSET

1,1


COMMENTS

a(n)  a(n1) is in {1,2,3} for n>=2, and a(n)/n > (12 + 3*sqrt(2))/7.


LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000


EXAMPLE

As a word, A286801 = 11011001011011001011011..., in which 0 is in positions 3,6,7,9,12,...


MATHEMATICA

s = Nest[Flatten[# /. {0 > {0, 0, 1}, 1 > {0}}] &, {0}, 16]; (* Pell word, A171588 *)
w = StringJoin[Map[ToString, s]];
w1 = StringReplace[w, {"0" > "110", "1" > "010"}];
st = ToCharacterCode[w1]  48 ; (* A286801 *)
Flatten[Position[st, 0]]; (* A286802 *)
Flatten[Position[st, 1]]; (* A286803 *)


CROSSREFS

Cf. A171588, A286801, A286803.
Sequence in context: A324927 A026227 A026232 * A297249 A061641 A325443
Adjacent sequences: A286799 A286800 A286801 * A286803 A286804 A286805


KEYWORD

nonn,easy


AUTHOR

Clark Kimberling, May 16 2017


STATUS

approved



