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%I #10 Aug 31 2022 13:30:07
%S 0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,
%T 1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,
%U 1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0
%N Characteristic sequence of the Beatty sequence, A022839, of sqrt(5).
%C The positions of 0 are given by A108598, and of 1, by A022839.
%H Clark Kimberling, <a href="/A285685/b285685.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(5). [corrected by _Georg Fischer_, Aug 31 2022]
%t r = Sqrt[5]; 1 - Table[Floor[(n + 1) (1 - 1/r) - Floor[n (1 - 1/r)]], {n, 1, 200}]
%Y Cf. A022839, A108598.
%K nonn,easy
%O 1
%A _Clark Kimberling_, May 11 2017
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