A187897 Rank transform of the sequence A159481; complement of A187898.

1, 2, 3, 5, 6, 8, 10, 11, 12, 13, 15, 16, 18, 19, 20, 21, 22, 24, 25, 26, 28, 29, 30, 32, 34, 35, 36, 38, 39, 40, 42, 43, 44, 46, 47, 48, 50, 51, 52, 54, 56, 57, 58, 60, 61, 63, 64, 65, 67, 68, 69, 71, 72, 74, 75, 76, 77, 79, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 94, 95, 96, 98, 100, 101, 102, 103, 104, 106, 108, 109, 111, 112, 113, 114, 115, 117, 119, 120, 121, 123, 124, 125

Offset

1,2

Comments

A187897 is the rank transform (see A187224) of the sequence of partial sums of the Thue-Morse sequence A010059.

Links

Table of n, a(n) for n=1..92.

Mathematica

t = Nest[Flatten[# /. {1 -> {1, 0}, 0 -> {0, 1}}] &, {1}, 8]; t
seqA = Table[Sum[t[[k]], {k, 1, n}], {n, 1, 256}]   (* A159481 *)
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]]   (* A187897 *)
Complement[Range[Length[seqA]], limseqU]  (* A187898 *)
(* by Peter J. C. Moses,  Mar 15 2011 *)

Crossrefs

Cf. A187224, A187898, A187895.

Sequence in context: A028776 A028734 A028755 * A187319 A095976 A187899

Adjacent sequences: A187894 A187895 A187896 * A187898 A187899 A187900

Keyword

nonn

Author

Clark Kimberling, Mar 15 2011

Status

approved