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A194245 [sum{(rk) : 1<=k<=n}], where [ ]=floor, ( )=fractional part, and r=2-sqrt(3). 2

%I #5 Mar 30 2012 18:57:42

%S 0,0,1,1,2,2,3,3,4,4,5,5,6,7,7,7,7,8,8,9,9,10,10,11,12,13,13,13,14,14,

%T 14,15,16,16,16,17,18,18,19,19,20,20,21,22,22,22,23,24,24,24,25,26,26,

%U 26,27,27,27,28,29,29,29,30,31,31,31,32,33,33,34,34,34,35,35

%N [sum{(rk) : 1<=k<=n}], where [ ]=floor, ( )=fractional part, and r=2-sqrt(3).

%t r = 2-Sqrt[3];

%t a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]

%t Table[a[n], {n, 1, 90}] (* A194245 *)

%t s[n_] := Sum[a[k], {k, 1, n}]

%t Table[s[n], {n, 1, 100}] (* A194246 *)

%Y Cf. A194246.

%K nonn

%O 1,5

%A _Clark Kimberling_, Aug 20 2011

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