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%I #7 Sep 01 2022 14:29:00
%S 0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,
%T 0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,
%U 0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0
%N Characteristic sequence of the Beatty sequence, A022841, of sqrt(7).
%C The positions of 0 are given by A285676, and of 1, by A022841.
%H Clark Kimberling, <a href="/A286654/b286654.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(7). [corrected by _Georg Fischer_, Sep 01 2022]
%t r = Sqrt[7];
%t s = 1 - Table[Floor[(n + 1) (1 - 1/r) - Floor[n (1 - 1/r)]], {n, 1, 200}] (* A286654 *)
%t Flatten[Position[s, 0]] (* A285676 *)
%t Flatten[Position[s, 1]] (* A022841 *)
%Y Cf. A022841, A285676.
%K nonn,easy
%O 1
%A _Clark Kimberling_, May 11 2017
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