This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A190325 n + [n*r/t] + [n*s/t];  r=1, s=sinh(Pi/2), t=cosh(Pi/2). 3

%I

%S 1,3,6,8,10,13,15,18,20,22,25,27,29,31,33,36,38,41,43,45,48,50,53,55,

%T 56,59,61,64,66,68,71,73,76,78,80,83,84,87,89,91,94,96,99,101,103,106,

%U 108,111,112,114,117,119,122,124,126,129,131,134,136,138,140,142,145,147,149,152,154,157,159,161,164,166,168,170

%N n + [n*r/t] + [n*s/t]; r=1, s=sinh(Pi/2), t=cosh(Pi/2).

%C See A190323.

%H G. C. Greubel, <a href="/A190325/b190325.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/cosh(Pi/2)) + floor(n*tanh(Pi/2)), ", ")) \\ _G. C. Greubel_, Apr 04 2018

%o (MAGMA) R:=RealField(); [n + Floor(n/Cosh(Pi(R)/2)) + Floor(n*Tanh(Pi(R)/2)): n in [1..100]]; // _G. C. Greubel_, Apr 04 2018

%Y Cf. A190323, A190324.

%K nonn

%O 1,2

%A _Clark Kimberling_, May 08 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 6 08:53 EST 2019. Contains 329788 sequences. (Running on oeis4.)