A187480 Rank transform of the sequence round(n/2); complement of A187481.

1, 2, 4, 5, 6, 8, 9, 10, 11, 13, 15, 16, 17, 19, 20, 21, 22, 24, 26, 27, 28, 30, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 44, 46, 48, 49, 50, 51, 53, 54, 55, 57, 59, 60, 61, 63, 64, 65, 66, 68, 69, 70, 71, 73, 75, 76, 77, 79, 80, 81, 82, 84, 85, 86, 87, 89, 91, 92, 93, 95, 97, 98, 99, 100, 102, 103, 104, 106, 108, 109, 110, 112, 113, 114, 115, 117, 119, 120, 121, 123, 124, 125

Offset: 1

Author

Clark Kimberling, Mar 10 2011

Keywords

• nonn

Comments

See A187224. A187480 is the rank transform of (A004525 with initial two zeros removed).

Crossrefs

Cf. A187224, A187481, A004524.

Programs

Mathematica

seqA = Table[Round[n/2], {n, 1, 180}]  (* A004524 *)
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]]                                     (* A187480 *)
Complement[Range[Length[seqA]], limseqU]  (* A187481 *)
(* by Peter J. C. Moses, Mar 10 2011 *)