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A276856 First differences of the Beatty sequence A022840 for sqrt(6). 3

%I #5 Sep 24 2016 10:36:59

%S 2,2,3,2,3,2,3,2,3,2,2,3,2,3,2,3,2,3,2,2,3,2,3,2,3,2,3,2,3,2,2,3,2,3,

%T 2,3,2,3,2,2,3,2,3,2,3,2,3,2,3,2,2,3,2,3,2,3,2,3,2,2,3,2,3,2,3,2,3,2,

%U 3,2,2,3,2,3,2,3,2,3,2,2,3,2,3,2,3,2

%N First differences of the Beatty sequence A022840 for sqrt(6).

%H Clark Kimberling, <a href="/A276856/b276856.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = floor(n*r) - floor(n*r - r), where r = sqrt(6), n >= 1.

%t z = 500; r = Sqrt[6]; b = Table[Floor[k*r], {k, 0, z}] (* A022840 *)

%t Differences[b] (* A276856 *)

%Y Cf. A022840, A276872.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Sep 24 2016

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Last modified August 13 04:12 EDT 2024. Contains 375113 sequences. (Running on oeis4.)