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A285685 Characteristic sequence of the Beatty sequence, A022839, of sqrt(5). 1

%I

%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).

%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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Last modified September 29 18:27 EDT 2020. Contains 337432 sequences. (Running on oeis4.)