A190324 n + [n*r/s] + [n*t/s]; r=1, s=sinh(Pi/2), t=cosh(Pi/2).

2, 4, 7, 9, 12, 14, 17, 19, 21, 24, 26, 30, 32, 35, 37, 39, 42, 44, 47, 49, 52, 54, 57, 60, 62, 65, 67, 70, 72, 75, 77, 79, 82, 85, 88, 90, 93, 95, 97, 100, 102, 105, 107, 110, 113, 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

Offset

1,1

Comments

See A190323.

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Formula

A190323: f(n) = n + [n*sinh(Pi/2)] + [n*cosh(Pi/2)].

A190324: g(n) = n + [n*csch(Pi/2)] + [n*coth(Pi/2)].

A190325: h(n) = n + [n*sech(Pi/2)] + [n*tanh(Pi/2)].

Mathematica

r=1; s=Sinh[Pi/2]; t=Cosh[Pi/2];
f[n_] := n + Floor[n*s/r] + Floor[n*t/r];
g[n_] := n + Floor[n*r/s] + Floor[n*t/s];
h[n_] := n + Floor[n*r/t] + Floor[n*s/t];
Table[f[n], {n, 1, 120}]  (*A190323*)
Table[g[n], {n, 1, 120}]  (*A190324*)
Table[h[n], {n, 1, 120}]  (*A190325*)

Prog

(PARI) for(n=1, 100, print1(n + floor(n/sinh(Pi/2)) + floor(n/tanh(Pi/2)), ", ")) \\ G. C. Greubel, Apr 04 2018
(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

Crossrefs

Cf. A190323, A190325.

Sequence in context: A189681 A329834 A059542 * A022840 A329994 A064995

Adjacent sequences: A190321 A190322 A190323 * A190325 A190326 A190327

Keyword

nonn

Author

Clark Kimberling, May 08 2011

Status

approved