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A286654 Characteristic sequence of the Beatty sequence, A022841, of sqrt(7). 2

%I

%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).

%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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Last modified October 18 03:25 EDT 2021. Contains 348065 sequences. (Running on oeis4.)