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%I #5 Mar 30 2012 18:57:40
%S 0,1,1,2,2,3,4,4,5,5,5,6,7,7,8,8,8,9,10,10,11,11,11,12,13,13,14,14,14,
%T 15,15,16,16,16,17,18,19,19,20,20,21,22,22,23,23,23,24,25,25,26,26,26,
%U 27,28,28,29,29,29,30,31,31,31,32,32,32,33,34,34,34,35,36,37
%N [sum{(k*r) : 1<=k<=n}], where [ ]=floor, ( )=fractional part, and r=sqrt(8).
%t r = Sqrt[8];
%t a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]
%t Table[a[n], {n, 1, 90}] (* A194177 *)
%t s[n_] := Sum[a[k], {k, 1, n}]
%t Table[s[n], {n, 1, 100}] (* A194178 *)
%Y Cf. A194178.
%K nonn
%O 1,4
%A _Clark Kimberling_, Aug 18 2011
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