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A187905 Rank transform of the sequence floor((3-sqrt(5))n); complement of A187906. 2
1, 2, 4, 6, 7, 8, 10, 11, 12, 14, 16, 18, 19, 20, 22, 24, 25, 27, 28, 30, 31, 32, 34, 35, 37, 38, 40, 42, 43, 44, 46, 47, 49, 50, 52, 53, 55, 57, 58, 59, 61, 63, 64, 66, 67, 69, 70, 72, 73, 75, 76, 78, 79, 81, 82, 83, 85, 87, 89, 90, 91, 93, 95, 96, 97, 99, 101, 102, 103, 105, 107, 108, 109, 111, 112, 114, 115, 117, 119, 120, 121, 123, 124, 126 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A187224.

LINKS

Table of n, a(n) for n=1..84.

MATHEMATICA

r=3-5^(1/2);

seqA = Table[Floor[r*n], {n, 1, 220}] (*A187329*)

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]] (*A187905*)

Complement[Range[Length[seqA]], limseqU]  (*A187906*)

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

CROSSREFS

Cf. A187224, A187906.

Sequence in context: A285667 A187568 A187228 * A121538 A339508 A275844

Adjacent sequences:  A187902 A187903 A187904 * A187906 A187907 A187908

KEYWORD

nonn

AUTHOR

Clark Kimberling, Mar 15 2011

STATUS

approved

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Last modified September 21 04:10 EDT 2021. Contains 347596 sequences. (Running on oeis4.)