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Rank of n*cos(1) when all the numbers h, j*cos(1), k*sin(1), for h>=1, j>=1, k>=1, are jointly ranked.
3

%I #4 Sep 29 2017 07:17:20

%S 1,4,5,8,10,12,14,17,18,21,23,25,28,29,32,34,36,38,41,42,45,47,49,51,

%T 54,56,58,60,62,65,66,69,71,73,75,78,79,82,85,86,89,90,93,95,97,99,

%U 102,103,106,109,110,113,115,117,119,121,123,126,127,130,132,134

%N Rank of n*cos(1) when all the numbers h, j*cos(1), k*sin(1), for h>=1, j>=1, k>=1, are jointly ranked.

%C This sequence together with A292657 and A292658 partition the set of positive integers.

%H Clark Kimberling, <a href="/A292658/b292658.txt">Table of n, a(n) for n = 1..1000</a>

%t z = 120; r = 1; s = Cos[1]; t = Sin[1];

%t Table[n + Floor[n*r/s] + Floor[n*r/t], {n, 1, z}] (* A292657 *)

%t Table[n + Floor[n*s/r] + Floor[n*s/t], {n, 1, z}] (* A292658 *)

%t Table[n + Floor[n*t/r] + Floor[n*t/s], {n, 1, z}] (* A292659 *)

%Y Cf. A292657, A292659.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Sep 28 2017