A190239 a(n) = [n*u + n*v] - [n*u] - [n*v], where u=e^(Pi/2), v=1/u, and []=floor.

1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0

Offset

1

Comments

e^(Pi/2) - i^(-i) = 4.81047738096535165547..., as at A042972.

Links

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

Mathematica

u = Exp[Pi/2]; v = 1/u;
f[n_] := Floor[n*u + n*v] - Floor[n*u] - Floor[n*v]
t = Table[f[n], {n, 1, 120}] (* A190239 *)
Flatten[Position[t, 0]]      (* A190240 *)
Flatten[Position[t, 1]]      (* A190241 *)
Table[Floor[2*n*Cosh[Pi/2]] - Floor[n*Exp[Pi/2]] - Floor[n*Exp[-Pi/2]], {n, 1, 30}] (* G. C. Greubel, Dec 26 2017 *)

Prog

(PARI) for(n=1, 30, print1(floor(2*n*cosh(Pi/2)) - floor(n*exp(Pi/2)) - floor(n*exp(-Pi/2)), ", ")) \\ G. C. Greubel, Dec 26 2017
(Magma) C<i> := ComplexField(); [Floor(2*n*Cosh(Pi(C)/2)) - Floor(n*Exp(Pi(C)/2)) - Floor(n*Exp(-Pi(C)/2)): n in [1..30]]; // G. C. Greubel, Dec 26 2017

Crossrefs

Cf. A190240, A190241, A042972.

Sequence in context: A176137 A290808 A364252 * A120529 A292301 A099443

Adjacent sequences: A190236 A190237 A190238 * A190240 A190241 A190242

Keyword

nonn

Author

Clark Kimberling, May 06 2011

Status

approved