A188318 - OEIS

%I #9 Sep 08 2022 08:45:56

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

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

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

%N a(n) = [n*r] - [k*r] - [n*r-k*r], where r=1/sqrt(2), k=4, [ ]=floor.

%C See A188014.

%H G. C. Greubel, <a href="/A188318/b188318.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = [n*r] - [4*r] - [n*r-4*r], where r=1/sqrt(2).

%t r=2^(-1/2); k=4;

%t t=Table[Floor[n*r]-Floor[(n-k)*r]-Floor[k*r],{n,1,220}]   (*A188318*)

%t Flatten[Position[t,0]]  (*A188319*)

%t Flatten[Position[t,1]]  (*A188320*)

%o (PARI) for(n=1,100, print1(floor(n/sqrt(2)) - floor((n-4)/sqrt(2)) - floor(4/sqrt(2)), ", ")) \\ _G. C. Greubel_, Apr 13 2018

%o (Magma) [Floor(n/Sqrt(2)) - Floor((n-4)/Sqrt(2)) - Floor(4/Sqrt(2)): n in [1..100]]; // _G. C. Greubel_, Apr 13 2018

%Y Cf. A188014, A188319, A188320.

%K nonn

%O 1

%A _Clark Kimberling_, Mar 28 2011