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 A187415 Rank transform of the sequence floor(n*(-1+sqrt(5))); complement of A187416. 2
 1, 3, 4, 6, 8, 10, 11, 13, 15, 17, 18, 20, 22, 23, 25, 27, 29, 30, 32, 34, 35, 37, 39, 40, 42, 44, 46, 47, 49, 51, 53, 54, 56, 58, 60, 61, 63, 64, 67, 68, 70, 71, 73, 75, 77, 78, 80, 82, 83, 85, 87, 89, 91, 92, 93, 96, 97, 99, 101, 103, 104, 106, 107, 110, 111, 113, 114, 117, 118, 120, 121, 123, 125, 126, 128, 130, 132, 133, 135, 137, 139, 140, 142, 143, 146, 147, 149, 151 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A187224. LINKS Table of n, a(n) for n=1..88. MATHEMATICA m = -1+5^(1/2); seqA = Table[Floor[m*n], {n, 1, 180}] (* A001961 *) seqB = Table[n, {n, 1, 80}]; (* 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]] (* A187415 *) Complement[Range[Length[seqA]], limseqU] (* A187416 *) (* by Peter J. C. Moses, Mar 09 2011 *) CROSSREFS Cf. A187224, A187416. Sequence in context: A029900 A003257 A184006 * A047298 A184748 A184742 Adjacent sequences: A187412 A187413 A187414 * A187416 A187417 A187418 KEYWORD nonn AUTHOR Clark Kimberling, Mar 09 2011 STATUS approved

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Last modified September 12 23:44 EDT 2024. Contains 375855 sequences. (Running on oeis4.)