%I #10 Sep 08 2022 08:45:57
%S 2,4,7,9,12,14,17,19,21,24,26,30,32,35,37,39,42,44,47,49,52,54,57,60,
%T 62,65,67,70,72,75,77,79,82,85,88,90,93,95,97,100,102,105,107,110,113,
%U 115,118,120,123,125,128,130,133,135,137,141,143,146,148,151,153,155,158,160,163,165,169,171,173,176,178,181,183,186,188,191,193,196
%N n + [n*r/s] + [n*t/s]; r=1, s=sinh(Pi/2), t=cosh(Pi/2).
%C See A190323.
%H G. C. Greubel, <a href="/A190324/b190324.txt">Table of n, a(n) for n = 1..10000</a>
%F A190323: f(n) = n + [n*sinh(Pi/2)] + [n*cosh(Pi/2)].
%F A190324: g(n) = n + [n*csch(Pi/2)] + [n*coth(Pi/2)].
%F A190325: h(n) = n + [n*sech(Pi/2)] + [n*tanh(Pi/2)].
%t r=1; s=Sinh[Pi/2]; t=Cosh[Pi/2];
%t f[n_] := n + Floor[n*s/r] + Floor[n*t/r];
%t g[n_] := n + Floor[n*r/s] + Floor[n*t/s];
%t h[n_] := n + Floor[n*r/t] + Floor[n*s/t];
%t Table[f[n], {n, 1, 120}] (*A190323*)
%t Table[g[n], {n, 1, 120}] (*A190324*)
%t Table[h[n], {n, 1, 120}] (*A190325*)
%o (PARI) for(n=1,100, print1(n + floor(n/sinh(Pi/2)) + floor(n/tanh(Pi/2)), ", ")) \\ _G. C. Greubel_, Apr 04 2018
%o (Magma) R:=RealField(); [n + Floor(n/Sinh(Pi(R)/2)) + Floor(n*Tanh(Pi(R)/2)): n in [1..100]]; // _G. C. Greubel_, Apr 04 2018
%Y Cf. A190323, A190325.
%K nonn
%O 1,1
%A _Clark Kimberling_, May 08 2011