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A286801
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{0->110, 1->010}-transform of the Pell word, A171588.
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3
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1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1
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OFFSET
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1
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COMMENTS
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A171588 = 001001000100100010010010001001..., and replacing each 0 by 110 and each 1 by 010 gives 1101100101101100101101101100101..., in which the positions of 0 are given by A286802, and of 1, by A286803.
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LINKS
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MATHEMATICA
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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 *)
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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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