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A187413
Rank transform of the lower Wythoff sequence; complement of A187414.
3
1, 3, 5, 7, 9, 10, 13, 14, 16, 18, 20, 22, 24, 25, 27, 29, 31, 33, 35, 37, 38, 40, 42, 44, 46, 48, 50, 52, 53, 55, 57, 59, 61, 63, 65, 67, 68, 70, 72, 74, 76, 77, 80, 82, 83, 85, 87, 89, 91, 92, 94, 97, 98, 100, 102, 104, 106, 108, 110, 111, 113, 115, 117, 119, 121, 122, 124, 126, 128, 130, 132, 134, 136, 137, 139, 141, 143, 145, 147, 149, 151, 152, 154
OFFSET
1,2
COMMENTS
See A187224.
EXAMPLE
See A187224.
MATHEMATICA
m = (1+5^(1/2))/2;
seqA = Table[Floor[m*n], {n, 1, 180}] (* A000201 *)
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]] (* A187413 *)
Complement[Range[Length[seqA]], limseqU] (* A187414 *)
(* by _Peter J. C. Moses, Mar 09 2011 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Mar 09 2011
STATUS
approved