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%I #5 Mar 30 2012 18:57:42
%S 0,0,1,1,2,3,3,4,4,5,5,5,6,6,7,7,8,9,9,10,10,11,11,11,12,12,13,13,14,
%T 15,15,16,16,17,18,18,18,19,19,20,20,20,21,21,22,23,23,23,24,24,25,26,
%U 26,26,27,27,28,29,29,29,30,31,31,32,32,33,33,34,34,34,35,35,36
%N [sum{(rk) : 1<=k<=n}], where [ ]=floor, ( )=fractional part, and r=2-sqrt(2).
%t r = 2-Sqrt[2];
%t a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]
%t Table[a[n], {n, 1, 90}] (* A194243 *)
%t s[n_] := Sum[a[k], {k, 1, n}]
%t Table[s[n], {n, 1, 100}] (* A194244 *)
%Y Cf. A194244.
%K nonn
%O 1,5
%A _Clark Kimberling_, Aug 20 2011
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