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2, 5, 7, 8, 11, 14, 16, 17, 20, 23, 26, 28, 29, 32, 35, 37, 38, 41, 44, 47, 49, 50, 53, 56, 58, 59, 62, 65, 67, 68, 71, 74, 77, 79, 80, 83, 86, 88, 89, 92, 95, 98, 100, 101, 104, 107, 109, 110, 113, 116, 118, 119, 122, 125, 128, 130, 131, 134, 137, 139, 140
(list;
graph;
refs;
listen;
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text;
internal format)
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OFFSET
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1,1
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COMMENTS
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a(n) - a(n-1) is in {1,2,3} for n>=2, and a(n)/n -> 4 + sqrt(8).
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LINKS
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Clark Kimberling, Table of n, a(n) for n = 1..10000
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EXAMPLE
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As a word, A286691 = 0100101100100101100100100101100100..., in which 1 is in positions 2,5,7,8,11,...
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MATHEMATICA
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s = Nest[Flatten[# /. {0 -> {0, 0, 1}, 1 -> {0}}] &, {0}, 6] (* A171588 *)
w = StringJoin[Map[ToString, s]]
w1 = StringReplace[w, {"0" -> "010", "1"->"110"}]
st = ToCharacterCode[w1] - 48 ; (* A286691 *)
Flatten[Position[st, 0]]; (* A286692 *)
Flatten[Position[st, 1]]; (* A286693 *)
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CROSSREFS
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Cf. A171588, A286691, A286692.
Sequence in context: A111199 A276545 A138671 * A032724 A153308 A216565
Adjacent sequences: A286690 A286691 A286692 * A286694 A286695 A286696
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KEYWORD
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nonn,easy
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AUTHOR
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Clark Kimberling, May 14 2017
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STATUS
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approved
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