A320241 Expansion of Product_{k=1..9} theta_3(q^k), where theta_3() is the Jacobi theta function.

1, 2, 2, 6, 8, 10, 22, 26, 36, 60, 76, 100, 142, 180, 220, 312, 376, 448, 602, 696, 834, 1056, 1204, 1392, 1734, 1942, 2188, 2654, 2898, 3248, 3860, 4180, 4540, 5376, 5704, 6176, 7242, 7532, 8184, 9444, 9868, 10480, 12168, 12544, 13348, 15554, 15832, 16816, 19430

Offset

0,2

Comments

Also the number of integer solutions (a_1, a_2, ... , a_9) to the equation a_1^2 + 2*a_2^2 + ... + 9*a_9^2 = 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), this sequence (m=9), A320242 (m=10).

Cf. A320067.

Sequence in context: A320232 A320233 A320234 * A320242 A320246 A320247

Adjacent sequences: A320238 A320239 A320240 * A320242 A320243 A320244

Keyword

nonn,look

Author

Seiichi Manyama, Oct 08 2018

Status

approved