%I #5 Mar 30 2012 18:57:40
%S 0,0,1,3,5,8,12,16,21,27,33,40,47,55,64,73,83,94,105,116,128,141,154,
%T 168,182,197,213,229,245,262,279,297,316,335,354,374,394,415,437,459,
%U 481,504,527,551,575,600,625,651,677,703,730,757,784,812,840
%N Partial sums of A194179.
%t r = 1/2+Sqrt[8];
%t a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]
%t Table[a[n], {n, 1, 90}] (* A194179 *)
%t s[n_] := Sum[a[k], {k, 1, n}]
%t Table[s[n], {n, 1, 100}] (* A194180 *)
%Y Cf. A194178.
%K nonn
%O 1,4
%A _Clark Kimberling_, Aug 18 2011