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A187319
Rank transform of the sequence floor(n/sqrt(3)); complement of A187410.
2
1, 2, 3, 5, 6, 8, 10, 11, 12, 13, 15, 16, 18, 19, 20, 22, 23, 24, 25, 27, 29, 30, 32, 33, 35, 36, 37, 39, 40, 42, 43, 44, 46, 47, 49, 50, 52, 53, 54, 56, 57, 59, 60, 62, 63, 65, 66, 67, 69, 70, 71, 73, 74, 76, 77, 78, 79, 81, 83, 84, 85, 86, 88, 89, 91, 93, 94, 95, 96, 98, 99, 101, 102, 103, 105, 106, 108, 110, 111, 112, 113, 115, 116, 118, 119, 120, 122, 123, 125, 126, 127, 129
OFFSET
1,2
COMMENTS
See A187224.
MATHEMATICA
m = 3^(-1/2);
seqA = Table[Floor[m*n], {n, 1, 180}] (* A097337 *)
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]] (* A187319 *)
Complement[Range[Length[seqA]], limseqU] (* A187410 *)
(* by Peter J. C. Moses, Mar 09 2011 *)
CROSSREFS
Sequence in context: A028734 A028755 A187897 * A095976 A187899 A024609
KEYWORD
nonn
AUTHOR
Clark Kimberling, Mar 08 2011
STATUS
approved