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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A187224.

LINKS

Table of n, a(n) for n=1..83.

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

Cf. A000201, A187224, A187414.

Sequence in context: A294601 A080207 A187347 * A091177 A066929 A173909

Adjacent sequences:  A187410 A187411 A187412 * A187414 A187415 A187416

KEYWORD

nonn

AUTHOR

Clark Kimberling, Mar 09 2011

STATUS

approved

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Last modified August 5 08:48 EDT 2021. Contains 346464 sequences. (Running on oeis4.)