Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #5 Dec 04 2016 19:46:25
%S 1,3,5,7,8,10,12,14,16,17,19,21,23,25,26,28,30,31,34,35,37,39,41,42,
%T 44,46,48,50,51,53,55,57,59,60,62,64,66,68,69,71,73,74,77,78,80,82,83,
%U 85,87,89,91,93,95,96,98,100,102,103,105,107,109,111,112,114,116,117,119,121,123,125,126,128,130,132,134,135,137,139,141,143,145,146
%N Rank transform of the sequence floor(n*sqrt(2)+1/2); complement of A187842.
%C See A187224.
%t r=2^(1/2);
%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]] (*A187841*)
%t Complement[Range[Length[seqA]], limseqU] (*A187842*)
%t (*by _Peter J. C. Moses_, Mar 13 2011*)
%Y Cf. A187224, A187842, A187839.
%K nonn
%O 1,2
%A _Clark Kimberling_, Mar 13 2011