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%I #15 Sep 08 2022 08:45:56
%S 0,1,2,2,0,1,1,2,0,1,1,2,0,0,1,2,0,0,1,2,2,0,1,1,2,0,1,1,2,0,0,1,2,0,
%T 0,1,2,2,0,1,2,2,0,1,1,2,0,0,1,2,0,0,1,2,2,0,1,2,2,0,1,1,2,0,1,1,2,0,
%U 0,1,2,2,0,1,2,2,0,1,1,2,0,1,1,2,0,0,1,2,0,0,1,2,2,0,1,1,2,0,1,1,2,0,0,1,2,0,0,1,2,2,0,1,2,2,0,1,1,2
%N a(n) = [3*n*r] - 3*[n*r], where r=sqrt(5).
%H Ivan Panchenko, <a href="/A189463/b189463.txt">Table of n, a(n) for n = 1..10000</a>
%t r = 5^(1/2);
%t f[n_] := Floor[3 n*r] - 3*Floor[n*r];
%t t = Table[f[n], {n, 1, 220}] (* A189463 *)
%t Flatten[Position[t, 0]] (* A189464 *)
%t Flatten[Position[t, 1]] (* A189465 *)
%t Flatten[Position[t, 2]] (* A190158 *)
%o (PARI) for(n=1,30, print1(floor(3*n*sqrt(5)) - 3*floor(n*sqrt(5)), ", ")) \\ _G. C. Greubel_, Dec 28 2017
%o (Magma) [Floor(3*n*Sqrt(5)) - 3*Floor(n*Sqrt(5)): n in [1..30]]; // _G. C. Greubel_, Dec 28 2017
%Y Cf. A189464, A189465, A190158.
%K nonn
%O 1,3
%A _Clark Kimberling_, Apr 22 2011
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