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%I #10 Sep 08 2022 08:45:56
%S 1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,
%T 1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,
%U 1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1
%N a(n) = [n*u+n*v]-[n*u]-[n*v], where u=sqrt(2), v=1/u, and []=floor.
%H G. C. Greubel, <a href="/A190191/b190191.txt">Table of n, a(n) for n = 1..10000</a>
%t u = 2^(1/2); v = 1/u;
%t f[n_] := Floor[n*u + n*v] - Floor[n*u] - Floor[n*v]
%t t = Table[f[n], {n, 1, 120}] (* A190191 *)
%t Flatten[Position[t, 0]] (* A190192 *)
%t Flatten[Position[t, 1]] (* A190193 *)
%o (PARI) for(n=1,30, print1(floor(n*(sqrt(2) + 1/sqrt(2))) - floor(n*sqrt(2)) - floor(n/sqrt(2)), ", ")) \\ _G. C. Greubel_, Dec 28 2017
%o (Magma) [Floor(n*(Sqrt(2) + 1/Sqrt(2))) - Floor(n*Sqrt(2)) - Floor(n/Sqrt(2)): n in [1..30]]; // _G. C. Greubel_, Dec 28 2017
%Y Cf. A190192, A190193.
%K nonn
%O 1
%A _Clark Kimberling_, May 05 2011
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