|
|
A320234
|
|
Expansion of Product_{k=1..8} theta_3(q^k), where theta_3() is the Jacobi theta function.
|
|
10
|
|
|
1, 2, 2, 6, 8, 10, 22, 26, 36, 58, 72, 96, 130, 164, 200, 268, 324, 376, 486, 552, 642, 796, 876, 992, 1198, 1294, 1436, 1682, 1794, 1964, 2268, 2428, 2556, 2980, 3116, 3304, 3876, 3940, 4252, 4896, 4996, 5348, 6164, 6260, 6668, 7686, 7808, 8120, 9378, 9490, 9762
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
Also the number of integer solutions (a_1, a_2, ... , a_8) to the equation a_1^2 + 2*a_2^2 + ... + 8*a_8^2 = n.
|
|
LINKS
|
|
|
CROSSREFS
|
Product_{k=1..m} theta_3(q^k): A000122 (m=1), A033715 (m=2), A029594 (m=3), A320139 (m=4), A320231 (m=5), A320232 (m=6), A320233 (m=7), this sequence (m=8), A320241 (m=9), A320242(m=10), A320246 (m=12), A320247 (m=16).
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|