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A286990
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{0->010, 1->101}-transform of the Sturmian word A080764.
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4
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1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0
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OFFSET
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1
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COMMENTS
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A080764 = 1101101110110111011011011101..., and replacing each 0 by 010 and each 1 by 101 gives 101101010101101010101101101010101..., in which the positions of 0 are given by A286991, and of 1, by A286992.
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LINKS
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MATHEMATICA
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s = Nest[Flatten[# /. {0 -> 1, 1 -> {1, 1, 0}}] &, {1}, 11]; (* Sturmian word A080764 *)
w = StringJoin[Map[ToString, s]];
w1 = StringReplace[w, {"0" -> "010", "1"->"101"}]
st = ToCharacterCode[w1] - 48 ; (* A286990 *)
Flatten[Position[st, 0]]; (* A286991 *)
Flatten[Position[st, 1]]; (* A286992 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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