login

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”).

A179185
Rank transform of the sequence floor(n*sqrt(2)); complement of A186543.
2
1, 3, 5, 6, 9, 10, 11, 14, 16, 17, 19, 20, 23, 24, 27, 28, 30, 32, 33, 35, 37, 39, 40, 42, 44, 46, 48, 49, 52, 53, 55, 57, 58, 60, 62, 64, 65, 67, 69, 71, 72, 75, 76, 78, 80, 82, 84, 85, 87, 89, 91, 93, 94, 96, 98, 100, 101, 103, 105, 106, 109, 110, 112, 114, 115, 117, 119, 121, 123, 124, 126, 128, 130, 132, 134, 136, 137, 139, 141
OFFSET
1,2
COMMENTS
See A187224.
MATHEMATICA
m = 2^(1/2);
seqA = Table[Floor[m*n], {n, 1, 180}] (* A001951 *)
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]] (* A179185 *)
Complement[Range[Length[seqA]], limseqU] (* A186543 *)
(* by Peter J. C. Moses, Mar 09 2011 *)
CROSSREFS
Sequence in context: A088359 A184413 A187345 * A270198 A133512 A344154
KEYWORD
nonn
AUTHOR
Clark Kimberling, Mar 07 2011
STATUS
approved