%I #10 Sep 08 2022 08:45:57
%S 5,11,18,24,31,36,43,49,56,62,67,74,80,87,93,100,105,112,118,124,131,
%T 136,143,149,156,162,169,174,181,187,193,200,205,212,218,225,231,238,
%U 243,249,256,262,269,274,281,287,294,300,307,312,318,325,331,338,343,350,356,363,369,374,381,387,394,400,407,412,419,425,432,438,443,450
%N n + [n*r/s] + [n*t/s] + [n*u/s]; r=sqrt(2), s=1/r, t=sqrt(3), u=1/t.
%C See A190364.
%H G. C. Greubel, <a href="/A190365/b190365.txt">Table of n, a(n) for n = 1..10000</a>
%F A190364: a(n) = n + [n/2] + [n*sqrt(3/2)] + [n*sqrt(1/6)].
%F A190365: b(n) = 3*n + [n*sqrt(6)] + [n*sqrt(2/3)].
%F A190366: c(n) = n + [n*sqrt(2/3)] + [n*sqrt(1/6)] + [n/3].
%F A190367: d(n) = 4*n + [n*sqrt(6)] + [n*sqrt(3/2)].
%t Table[3*n + Floor[n*Sqrt[6]] + Floor[n*Sqrt[2/3]], {n,1,30}] (* _G. C. Greubel_, Jan 31 2018 *)
%o (PARI) for(n=1,30, print1(3*n + floor(n*sqrt(6)) + floor(n*sqrt(2/3)), ", ")) \\ _G. C. Greubel_, Jan 31 2018
%o (Magma) [3*n + Floor(n*Sqrt(6)) + Floor(n*Sqrt(2/3)): n in [1..30]]; // _G. C. Greubel_, Jan 31 2018
%Y Cf. A190364, A190365, A190366, A190367.
%K nonn
%O 1,1
%A _Clark Kimberling_, May 09 2011