Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #11 Sep 08 2022 08:45:57
%S 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,
%T 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,
%U 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
%N a(n) = [n*u + n*v] - [n*u] - [n*v], where u=sin(2*Pi/5), v=cos(2*Pi/5), and []=floor.
%H G. C. Greubel, <a href="/A190230/b190230.txt">Table of n, a(n) for n = 1..10000</a>
%t u = Sin[2Pi/5]; v = Cos[2Pi/5];
%t f[n_] := Floor[n*u + n*v] - Floor[n*u] - Floor[n*v]
%t t = Table[f[n], {n, 1, 120}] (* A190230 *)
%t Flatten[Position[t, 0]] (* A190231 *)
%t Flatten[Position[t, 1]] (* A190232 *)
%o (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
%o (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
%Y Cf. A190231, A190232, A190227.
%K nonn
%O 1
%A _Clark Kimberling_, May 06 2011