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A187909 Rank transform of the sequence floor((-1+sqrt(5))n/2); complement of A187910. 2

%I #5 Dec 04 2016 19:46:25

%S 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,

%T 37,38,40,41,42,44,45,47,48,49,51,52,54,56,57,58,59,61,63,64,65,67,68,

%U 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

%N Rank transform of the sequence floor((-1+sqrt(5))n/2); complement of A187910.

%C See A187224.

%t r=(-1+5^(1/2))/2;

%t seqA = Table[Floor[r*n], {n, 1, 220}] (*A005206*)

%t seqB = Table[n, {n, 1, 220}]; (*A000027*)

%t jointRank[{seqA_,

%t seqB_}] := {Flatten@Position[#1, {_, 1}],

%t Flatten@Position[#1, {_, 2}]} &[

%t Sort@Flatten[{{#1, 1} & /@ seqA, {#1, 2} & /@ seqB}, 1]];

%t limseqU =

%t FixedPoint[jointRank[{seqA, #1[[1]]}] &,

%t jointRank[{seqA, seqB}]][[1]] (*A187909*)

%t Complement[Range[Length[seqA]], limseqU] (*A187910*)

%t (*by _Peter J. C. Moses_, Mar 15 2011*)

%Y Cf. A187224, A187910.

%K nonn

%O 1,2

%A _Clark Kimberling_, Mar 15 2011

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Last modified September 15 17:22 EDT 2024. Contains 375938 sequences. (Running on oeis4.)