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Rank of (3-r)*n when all the numbers (3-r)*j and (3+r)*k, where r = sqrt(5), j>=1, k>=1, are jointly ranked.
2

%I #5 Sep 25 2017 13:09:25

%S 1,2,3,4,5,6,8,9,10,11,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,

%T 29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,55,

%U 56,57,58,59,60,61,63,64,65,66,67,68,69,71,72,73,74,75,76

%N Rank of (3-r)*n when all the numbers (3-r)*j and (3+r)*k, where r = sqrt(5), j>=1, k>=1, are jointly ranked.

%H Clark Kimberling, <a href="/A292638/b292638.txt">Table of n, a(n) for n = 1..1000</a>

%t z = 120; r = 3 - Sqrt[5]; s = 3 + Sqrt[5];

%t Table[n + Floor[n*r/s], {n, 1, z}] (* A292638 *)

%t Table[n + Floor[n*s/r], {n, 1, z}] (* A292639 *)

%Y Cf. A292639 (complement).

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Sep 25 2017