%I #8 Sep 01 2022 19:47:57

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

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

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

%N Characteristic sequence of the Beatty sequence, A022842, of sqrt(8).

%C The positions of 0 are given by A286323, and of 1, by A022842.

%H Clark Kimberling, <a href="/A286655/b286655.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = 1 - floor((n+1)*(1-1/r)) + floor(n*(1-1/r)), where r = sqrt(8). [corrected by _Georg Fischer_, Sep 01 2022]

%t r = Sqrt[8];

%t s = 1 - Table[Floor[(n + 1) (1 - 1/r) - Floor[n (1 - 1/r)]], {n, 1, 200}] (* A286655 *)

%t Flatten[Position[s, 0]] (* A286323 *)

%t Flatten[Position[s, 1]] (* A022842 *)

%Y Cf. A022842, A286323.

%K nonn,easy

%O 1

%A _Clark Kimberling_, May 11 2017