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First differences of the Beatty sequence A022842 for sqrt(8).
3

%I #5 Sep 24 2016 10:38:04

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

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

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

%N First differences of the Beatty sequence A022842 for sqrt(8).

%H Clark Kimberling, <a href="/A276858/b276858.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = floor(n*r) - floor(n*r - r), where r = sqrt(8), n >= 1.

%t z = 500; r = Sqrt[8]; b = Table[Floor[k*r], {k, 0, z}] (* A022842 *)

%t Differences[b] (* A276858 *)

%Y Cf. A022842, A276874.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Sep 24 2016