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A187905
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Rank transform of the sequence floor((3-sqrt(5))n); complement of A187906.
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2
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1, 2, 4, 6, 7, 8, 10, 11, 12, 14, 16, 18, 19, 20, 22, 24, 25, 27, 28, 30, 31, 32, 34, 35, 37, 38, 40, 42, 43, 44, 46, 47, 49, 50, 52, 53, 55, 57, 58, 59, 61, 63, 64, 66, 67, 69, 70, 72, 73, 75, 76, 78, 79, 81, 82, 83, 85, 87, 89, 90, 91, 93, 95, 96, 97, 99, 101, 102, 103, 105, 107, 108, 109, 111, 112, 114, 115, 117, 119, 120, 121, 123, 124, 126
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OFFSET
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1,2
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COMMENTS
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LINKS
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MATHEMATICA
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r=3-5^(1/2);
seqA = Table[Floor[r*n], {n, 1, 220}] (*A187329*)
seqB = Table[n, {n, 1, 220}]; (*A000027*)
jointRank[{seqA_,
seqB_}] := {Flatten@Position[#1, {_, 1}],
Flatten@Position[#1, {_, 2}]} &[
Sort@Flatten[{{#1, 1} & /@ seqA, {#1, 2} & /@ seqB}, 1]];
limseqU =
FixedPoint[jointRank[{seqA, #1[[1]]}] &,
jointRank[{seqA, seqB}]][[1]] (*A187905*)
Complement[Range[Length[seqA]], limseqU] (*A187906*)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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