login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A026371
a(n) = least k such that s(k) = n, where s = A026370.
3
1, 2, 3, 5, 6, 8, 9, 11, 12, 13, 14, 16, 17, 19, 20, 21, 22, 24, 25, 27, 28, 29, 30, 32, 33, 35, 36, 38, 39, 41, 42, 43, 44, 46, 47, 49, 50, 51, 52, 54, 55, 57, 58, 60, 61, 63, 64, 65, 66, 68, 69, 71, 72, 73, 74, 76, 77, 79, 80, 82, 83, 85, 86
OFFSET
1,2
COMMENTS
Complement of A026372; also the rank transform (as at A187224) of (A004526 after removal of its first term, leaving 0,1,1,2,2,3,3,4,4,5,5,6,6,...). [From Clark Kimberling, Mar 10 2011]
MATHEMATICA
seqA = Table[Floor[n/2], {n, 1, 180}] (* A004526 *)
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]] (* A026371 *)
Complement[Range[Length[seqA]], limseqU] (* A026372 *)
(* by Peter J. C. Moses, Mar 10 2011 *)
CROSSREFS
KEYWORD
nonn
STATUS
approved