%I #5 Dec 04 2016 19:46:25
%S 1,3,5,6,9,10,12,14,16,18,20,21,23,26,27,29,31,33,35,36,38,40,42,44,
%T 46,48,50,51,53,55,57,59,61,63,65,66,68,70,72,74,75,78,80,81,83,85,87,
%U 89,90,92,95,96,98,100,102,104,106,108,109,111,113,115,117,119,120,122,124,126,128,130,132,133,135,137,139,141,143,145,147,148,150
%N Rank transform of the sequence floor(rn/2-1/2), where r=(1+sqrt(5))/2 (the golden ratio); complement of A187838.
%C See A187224.
%t r=(1+5^(1/2))/2;
%t seqA = Table[Floor[r*n-1/2], {n, 1, 220}]
%t seqB = Table[n, {n, 1, 220}];(*A000027*)
%t jointRank[{seqA_,
%t seqB_}] := {Flatten@Position[#1, {_, 1}],
%t Flatten@Position[#1, {_, 2}]} &[
%t Sort@Flatten[{{#1, 1} & /@ seqA, {#1, 2} & /@ seqB}, 1]];
%t limseqU =
%t FixedPoint[jointRank[{seqA, #1[[1]]}] &,
%t jointRank[{seqA, seqB}]][[1]] (*A187837*)
%t Complement[Range[Length[seqA]], limseqU] (*A187838*)
%t (*by _Peter J. C. Moses_, Mar 13 2011*)
%Y Cf. A187224, A187838.
%K nonn
%O 1,2
%A _Clark Kimberling_, Mar 13 2011