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A187839 Rank transform of the sequence floor(n*sqrt(2)-1/2); complement of A187840. 4
1, 3, 4, 7, 8, 9, 12, 14, 15, 17, 19, 21, 22, 24, 26, 28, 30, 31, 33, 35, 37, 38, 41, 42, 44, 46, 47, 50, 51, 52, 55, 56, 58, 60, 62, 63, 65, 68, 69, 71, 73, 74, 76, 78, 80, 82, 83, 85, 86, 89, 90, 92, 94, 96, 98, 99, 101, 103, 104, 107, 108, 111, 112, 114, 116, 117, 119, 121, 123, 124, 126, 128, 130, 132, 134, 135, 137, 139, 140, 142, 144, 146 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A187224.

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

MATHEMATICA

r=2^(1/2);

seqA = Table[Floor[r*n-1/2], {n, 1, 220}]

seqB = Table[n, {n, 1, 220}]; (* 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]] (* A187839 *)

Complement[Range[Length[seqA]], limseqU]  (* A187840 *)

(* Peter J. C. Moses, Mar 13 2011 *)

CROSSREFS

Cf. A187224, A187840.

Sequence in context: A110133 A205647 A187903 * A183988 A175054 A154366

Adjacent sequences:  A187836 A187837 A187838 * A187840 A187841 A187842

KEYWORD

nonn

AUTHOR

Clark Kimberling, Mar 13 2011

STATUS

approved

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Last modified October 21 23:34 EDT 2021. Contains 348160 sequences. (Running on oeis4.)