

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
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OFFSET

1,2


COMMENTS



LINKS



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 *)


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



