A187574 - OEIS

%I #15 Jul 23 2024 08:40:27

%S 1,3,5,6,9,10,12,14,15,17,19,21,23,25,26,28,30,31,34,35,37,39,41,42,

%T 45,46,48,50,51,54,55,57,59,61,62,64,66,67,70,71,73,75,77,79,80,82,84,

%U 86,87,90,91,93,95,96,98,100,102,104,106,107,109,111,112,115,116,118,120,122,124,125,127,129,131,132,135,136,138,140,142,143,145,147,149,151,152,154,156,158,160

%N Rank transform of the sequence floor(n*3^(1/3)); complement of A187575.

%C See A187224.

%t seqA = Table[Floor[n*3^(1/3)], {n, 1, 220}] (*A059539*)

%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]] (*A187574*)

%t Complement[Range[Length[seqA]], limseqU]  (*A187575*)

%t (* _Peter J. C. Moses_, Mar 11 2011 *)

%Y Cf. A187224, A187575, A059539.

%K nonn

%O 1,2

%A _Clark Kimberling_, Mar 11 2011