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A190242 a(n) = [n*u+n*v]-[n*u]-[n*v], where u=sqrt(2), v=sqrt(3), and []=floor. 3

%I #8 Sep 08 2022 08:45:57

%S 1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,

%T 1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,

%U 1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1

%N a(n) = [n*u+n*v]-[n*u]-[n*v], where u=sqrt(2), v=sqrt(3), and []=floor.

%H G. C. Greubel, <a href="/A190242/b190242.txt">Table of n, a(n) for n = 1..10000</a>

%t u = 2^(1/2); v = 3^(1/2);

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

%t t = Table[f[n], {n, 1, 120}] (*A190242*)

%t Flatten[Position[t, 0]] (*A190243*)

%t Flatten[Position[t, 1]] (*A190244*)

%o (PARI) for(n=1,30, print1(floor(n*(sqrt(2) + sqrt(3))) - floor(n*sqrt(2)) - floor(n*sqrt(3)), ", ")) \\ _G. C. Greubel_, Dec 26 2017

%o (Magma) [Floor(n*(Sqrt(2) + Sqrt(3))) - Floor(n*Sqrt(2)) - Floor(n*Sqrt(3)): n in [1..30]]; // _G. C. Greubel_, Dec 26 2017

%Y Cf. A190243, A190244.

%K nonn

%O 1

%A _Clark Kimberling_, May 06 2011

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Last modified April 25 12:33 EDT 2024. Contains 371969 sequences. (Running on oeis4.)