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%I #7 Jun 22 2016 12:28:34
%S 0,0,1,1,2,2,3,3,4,5,5,5,6,6,7,7,8,9,9,9,10,10,10,11,11,12,13,13,14,
%T 14,15,15,15,16,16,17,18,18,19,19,19,20,20,21,21,22,22,23,24,24,24,25,
%U 25,26,26,27,27,28,29,29,30,30,30,31,31,32,33,33,34,35,35,35,35
%N [sum{(rk) : 1<=k<=n}], where [ ]=floor, ( )=fractional part, and r=3-sqrt(6).
%t r = 3-Sqrt[6];
%t a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]
%t Table[a[n], {n, 1, 90}] (* A194249 *)
%t s[n_] := Sum[a[k], {k, 1, n}]
%t Table[s[n], {n, 1, 100}] (* A194250 *)
%t Accumulate[Table[FractionalPart[(3-Sqrt[6])n],{n,80}]]//Floor (* _Harvey P. Dale_, Jun 22 2016 *)
%Y Cf. A194249.
%K nonn
%O 1,5
%A _Clark Kimberling_, Aug 20 2011
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