|
|
A055415
|
|
Number of points in Z^9 of norm <= n.
|
|
6
|
|
|
1, 19, 2869, 84663, 995241, 7129227, 35372141, 140246303, 458690081, 1318315075, 3375505573, 7945596055, 17282877369, 35516896155, 68960061837, 128236319951, 228701936081, 394678200083, 658850300869, 1072056316615
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n) = [x^(n^2)] theta_3(x)^9/(1 - x), where theta_3() is the Jacobi theta function. - Ilya Gutkovskiy, Apr 14 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|