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A286993
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{0->000, 111->1}-transform of the Sturmian word A080764.
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4
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1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0
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refs;
listen;
history;
text;
internal format)
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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 000 and each 111 by 1 gives 11000110001000110001000110001100010..., in which the positions of 0 are given by A286994, and of 1, by A286995.
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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" -> "000", "111"->"1"}]
st = ToCharacterCode[w1] - 48 ; (* A286993 *)
Flatten[Position[st, 0]]; (* A286994 *)
Flatten[Position[st, 1]]; (* A286995 *)
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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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