|
|
A014785
|
|
a(n) = Sum_{0<=k<=n} ceiling(k^2/n).
|
|
1
|
|
|
1, 3, 6, 9, 13, 18, 24, 30, 35, 43, 52, 61, 69, 80, 92, 102, 113, 125, 140, 155, 169, 184, 202, 220, 231, 251, 270, 291, 309, 332, 354, 376, 397, 419, 446, 469, 493, 520, 550, 578, 601, 631, 660, 693, 721, 754, 788
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
REFERENCES
|
M. Eichler and D. Zagier, The Theory of Jacobi Forms, Birkhauser, 1985, p. 103.
|
|
LINKS
|
|
|
MAPLE
|
f := n->sum( ceil(k^2/n), k=0..n);
|
|
MATHEMATICA
|
Table[Sum[Ceiling[k^2/n], {k, 0, n}], {n, 50}] (* Harvey P. Dale, Oct 24 2013 *)
|
|
PROG
|
(Magma) [&+[Ceiling(k^2/n):k in [0..n]]:n in [1..50]]; // Marius A. Burtea, Dec 31 2019
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|