login
a(n) = [n*r] - [k*r] - [n*r-k*r], where r=1/sqrt(2), k=6, [ ]=floor.
3

%I #16 Nov 20 2024 04:18:00

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

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

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

%N a(n) = [n*r] - [k*r] - [n*r-k*r], where r=1/sqrt(2), k=6, [ ]=floor.

%C See A188014.

%H G. C. Greubel, <a href="/A188371/b188371.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = [n*r] - [6*r] - [n*r-6*r], where r=1/sqrt(2).

%t r=2^(-1/2); k=6;

%t t=Table[Floor[n*r]-Floor[(n-k)*r]-Floor[k*r],{n,1,220}] (*A188371*)

%t Flatten[Position[t,0]] (*A188372*)

%t Flatten[Position[t,1]] (*A188373*)

%o (PARI) for(n=1,100, print1(floor(n/sqrt(2)) - floor(6/sqrt(2)) - floor((n - 6)/sqrt(2)), ", ")) \\ _G. C. Greubel_, Apr 11 2018

%o (Magma) [Floor(n/Sqrt(2)) - Floor(6/Sqrt(2)) - Floor((n-6)/Sqrt(2)): n in [1..100]]; // _G. C. Greubel_, Apr 11 2018

%Y Cf. A188014, A188372, A188373.

%K nonn

%O 1

%A _Clark Kimberling_, Mar 29 2011