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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A187224.

LINKS

Table of n, a(n) for n=1..79.

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

Cf. A187224, A186543.

Sequence in context: A088359 A184413 A187345 * A270198 A133512 A065871

Adjacent sequences:  A179182 A179183 A179184 * A179186 A179187 A179188

KEYWORD

nonn

AUTHOR

Clark Kimberling, Mar 07 2011

STATUS

approved

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Last modified December 7 03:32 EST 2016. Contains 278837 sequences.