A194203 Partial sums of A194202.

0, 1, 2, 4, 6, 9, 12, 15, 19, 24, 29, 35, 41, 47, 54, 62, 70, 79, 88, 98, 108, 119, 130, 141, 153, 166, 180, 194, 208, 223, 238, 254, 270, 287, 305, 323, 341, 360, 379, 398, 418, 439, 460, 482, 504, 526, 549, 573, 597, 622, 647, 673, 699, 726, 753, 780

Offset: 1

Author

Clark Kimberling, Aug 19 2011

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A194202.

Programs

Mathematica

r = 2E;
a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]
Table[a[n], {n, 1, 90}]  (* A194202 *)
s[n_] := Sum[a[k], {k, 1, n}]
Table[s[n], {n, 1, 100}] (* A194203 *)