A194174 - OEIS

%I #9 Nov 12 2017 02:52:03

%S 0,1,2,4,6,9,12,16,20,24,29,35,41,48,55,63,71,79,88,98,108,119,131,

%T 143,156,169,182,196,210,225,240,256,273,290,308,326,344,363,382,402,

%U 423,444,466,488,511,534,558,582,606,631,657,683,710,737,765,793

%N Partial sums of A194173.

%H G. C. Greubel, <a href="/A194174/b194174.txt">Table of n, a(n) for n = 1..1000</a>

%t r = Sqrt[6];

%t a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]

%t Table[a[n], {n, 1, 90}]   (* A194173 *)

%t s[n_] := Sum[a[k], {k, 1, n}]

%t Table[s[n], {n, 1, 100}]  (* A194174 *)

%Y Cf. A194173.

%K nonn

%O 1,3

%A _Clark Kimberling_, Aug 18 2011