A194201 Partial sums of A194200.

0, 1, 2, 4, 6, 9, 12, 15, 19, 23, 28, 34, 40, 46, 53, 60, 67, 75, 84, 93, 102, 112, 123, 134, 146, 159, 172, 185, 199, 214, 229, 245, 261, 278, 295, 313, 331, 350, 369, 388, 408, 428, 449, 471, 493, 515, 538, 561, 584, 608, 633, 658, 683, 709, 736, 763

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. A194200.

Programs

Mathematica

r = E;
a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]
Table[a[n], {n, 1, 90}]  (* A194200 *)
s[n_] := Sum[a[k], {k, 1, n}]
Table[s[n], {n, 1, 100}]  (* A194201 *)