A190230 - OEIS

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A190230

a(n) = [n*u + n*v] - [n*u] - [n*v], where u=sin(2*Pi/5), v=cos(2*Pi/5), and []=floor.

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

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OFFSET

LINKS

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

MATHEMATICA

u = Sin[2Pi/5]; v = Cos[2Pi/5];

f[n_] := Floor[n*u + n*v] - Floor[n*u] - Floor[n*v]

t = Table[f[n], {n, 1, 120}] (* A190230 *)

Flatten[Position[t, 0]] (* A190231 *)

Flatten[Position[t, 1]] (* A190232 *)

PROG

(PARI) for(n=1, 30, print1(floor(n*(sin(Pi/5) + cos(Pi/5))) - floor(n*cos(Pi/5)) - floor(n*sin(Pi/5)), ", ")) \\ G. C. Greubel, Dec 27 2017

(Magma) C<i> := ComplexField(); [Floor(n*(Sin(Pi(C)/5) + Cos(Pi(C)/5))) - Floor(n*Sin(Pi(C)/5)) - Floor(n*Cos(Pi(C)/5)): n in [1..30]]; // G. C. Greubel, Dec 27 2017

CROSSREFS

Cf. A190231, A190232, A190227.

Sequence in context: A363344 A327866 A336477 * A141679 A276254 A303300

Adjacent sequences: A190227 A190228 A190229 * A190231 A190232 A190233

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 06 2011

STATUS

approved