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A187909
Rank transform of the sequence floor((-1+sqrt(5))n/2); complement of A187910.
2
1, 2, 3, 5, 7, 8, 10, 11, 12, 14, 15, 16, 18, 19, 21, 22, 23, 25, 26, 28, 29, 31, 32, 33, 35, 37, 38, 40, 41, 42, 44, 45, 47, 48, 49, 51, 52, 54, 56, 57, 58, 59, 61, 63, 64, 65, 67, 68, 70, 71, 72, 74, 75, 77, 78, 80, 81, 82, 84, 85, 86, 88, 89, 91, 92, 93, 95, 97, 98, 100, 101, 102, 104, 105, 107, 108, 109, 111, 112, 114, 116, 117, 118, 119
OFFSET
1,2
COMMENTS
See A187224.
MATHEMATICA
r=(-1+5^(1/2))/2;
seqA = Table[Floor[r*n], {n, 1, 220}] (*A005206*)
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]] (*A187909*)
Complement[Range[Length[seqA]], limseqU] (*A187910*)
(*by Peter J. C. Moses, Mar 15 2011*)
CROSSREFS
Sequence in context: A197128 A034707 A288378 * A156247 A232532 A076798
KEYWORD
nonn
AUTHOR
Clark Kimberling, Mar 15 2011
STATUS
approved