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A320242 Expansion of Product_{k=1..10} theta_3(q^k), where theta_3() is the Jacobi theta function. 6
1, 2, 2, 6, 8, 10, 22, 26, 36, 60, 78, 104, 146, 192, 236, 332, 420, 500, 674, 816, 986, 1256, 1488, 1752, 2174, 2566, 2940, 3550, 4102, 4640, 5528, 6292, 6948, 8160, 9172, 10060, 11618, 12840, 13980, 15940, 17590, 18844, 21252, 23308, 24772, 27926, 30360, 31932 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Also the number of integer solutions (a_1, a_2, ... , a_10) to the equation a_1^2 + 2*a_2^2 + ... + 10*a_10^2 = 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), A320234 (m=8), A320241 (m=9), this sequence (m=10).
Cf. A320067.
Sequence in context: A320233 A320234 A320241 * A320246 A320247 A320248
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 08 2018
STATUS
approved

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Last modified May 21 16:27 EDT 2024. Contains 372738 sequences. (Running on oeis4.)