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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
Eric Weisstein's World of Mathematics, Jacobi Theta Functions
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).
Sequence in context: A320231 A320232 A320233 * A320241 A320242 A320246
KEYWORD
nonn,look
AUTHOR
Seiichi Manyama, Oct 08 2018
STATUS
approved

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Last modified June 13 22:21 EDT 2024. Contains 373391 sequences. (Running on oeis4.)