%I #5 Mar 30 2012 18:57:42
%S 0,1,2,3,5,7,10,14,18,23,28,33,39,45,51,58,66,74,83,92,102,112,123,
%T 134,145,157,170,183,197,212,227,243,259,275,292,309,327,346,365,385,
%U 405,425,446,467,488,510,532,555,579,603,628,653,678,704,730,757
%N Partial sums of A194241.
%t r = (1+Sqrt[3])/2;
%t a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]
%t Table[a[n], {n, 1, 90}] (* A194241 *)
%t s[n_] := Sum[a[k], {k, 1, n}]
%t Table[s[n], {n, 1, 100}] (* A194242 *)
%Y Cf. A194241.
%K nonn
%O 1,3
%A _Clark Kimberling_, Aug 20 2011