A320242 Expansion of Product_{k=1..10} theta_3(q^k), where theta_3() is the Jacobi theta function.

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

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

Seiichi Manyama, Table of n, a(n) for n = 0..10000

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

Adjacent sequences: A320239 A320240 A320241 * A320243 A320244 A320245

Keyword

nonn

Author

Seiichi Manyama, Oct 08 2018

Status

approved