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A190227 a(n) = [n*u + n*v] - [n*u] - [n*v], where u=sin(Pi/5), v=cos(Pi/5), and []=floor. 4
1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

LINKS

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

MATHEMATICA

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

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

t = Table[f[n], {n, 1, 120}] (* A190227 *)

Flatten[Position[t, 0]]      (* A190228 *)

Flatten[Position[t, 1]]      (* A190229 *)

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. A190228, A190229.

Sequence in context: A164364 A198517 A105385 * A090626 A129569 A266611

Adjacent sequences:  A190224 A190225 A190226 * A190228 A190229 A190230

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 06 2011

STATUS

approved

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Last modified March 28 15:06 EDT 2020. Contains 333089 sequences. (Running on oeis4.)