A292661 - OEIS

%I #4 Sep 29 2017 07:18:02

%S 2,5,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53,56,59,62,65,68,71,

%T 74,77,80,83,86,89,92,95,98,101,104,107,110,113,116,118,122,125,128,

%U 131,134,137,140,143,146,149,152,155,158,161,164,167,170,173,176

%N Rank of n*sqrt(3) when all the numbers h*sqrt(2), j*sqrt(3), k*sqrt(5), for h>=1, j>=1, k>=1, are jointly ranked.

%C This sequence together with A292660 and A292662 partition the set of positive integers.

%H Clark Kimberling, <a href="/A292661/b292661.txt">Table of n, a(n) for n = 1..1000</a>

%t z = 120; r = Sqrt[2]; s = Sqrt[3]; t = Sqrt[5];

%t Table[n + Floor[n*r/s] + Floor[n*r/t], {n, 1, z}]  (* A292660 *)

%t Table[n + Floor[n*s/r] + Floor[n*s/t], {n, 1, z}]  (* A292661 *)

%t Table[n + Floor[n*t/r] + Floor[n*t/s], {n, 1, z}]  (* A292662 *)

%Y Cf. A292661, A292663.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Sep 28 2017