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A187903 Rank transform of the sequence floor((2-1/sqrt(2))n); complement of A187904. 2
1, 3, 4, 7, 8, 9, 12, 14, 15, 16, 18, 20, 22, 24, 26, 27, 29, 31, 32, 34, 36, 38, 39, 41, 43, 45, 46, 48, 50, 51, 54, 55, 57, 58, 60, 62, 64, 66, 67, 69, 71, 72, 74, 76, 78, 80, 81, 83, 85, 86, 88, 90, 92, 93, 95, 97, 99, 100, 102, 104, 105, 107, 109, 111, 113, 114, 116, 118, 120, 121, 123, 125, 127, 128, 130, 132, 133, 135, 137, 139, 140, 143, 144 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A187224.

LINKS

Table of n, a(n) for n=1..83.

MATHEMATICA

r=2-2^(-1/2);

seqA = Table[Floor[r*n], {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]] (*A187903*)

Complement[Range[Length[seqA]], limseqU]  (*A187904*)

(*by Peter J. C. Moses, Mar 15 2011*)

CROSSREFS

Cf. A187224, A187904.

Sequence in context: A220487 A110133 A205647 * A187839 A183988 A175054

Adjacent sequences:  A187900 A187901 A187902 * A187904 A187905 A187906

KEYWORD

nonn

AUTHOR

Clark Kimberling, Mar 15 2011

STATUS

approved

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Last modified September 17 21:46 EDT 2021. Contains 347489 sequences. (Running on oeis4.)