A320231 Expansion of Product_{k=1..5} theta_3(q^k), where theta_3() is the Jacobi theta function.

1, 2, 2, 6, 8, 10, 20, 20, 26, 38, 40, 48, 54, 60, 56, 80, 76, 60, 106, 76, 102, 132, 100, 128, 160, 174, 136, 210, 164, 164, 280, 160, 182, 256, 216, 232, 320, 204, 244, 408, 288, 288, 368, 316, 292, 518, 276, 264, 510, 310, 454, 480, 380, 408, 616, 524, 428, 656

Offset

0,2

Comments

Also the number of integer solutions (a_1, a_2, ... , a_5) to the equation a_1^2 + 2*a_2^2 + ... + 5*a_5^2 = 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), this sequence (m=5), A320232 (m=6), A320233 (m=7), A320234 (m=8).

Cf. A320067.

Sequence in context: A033736 A033760 A334831 * A320232 A320233 A320234

Adjacent sequences: A320228 A320229 A320230 * A320232 A320233 A320234

Keyword

nonn

Author

Seiichi Manyama, Oct 08 2018

Status

approved