A320232 Expansion of Product_{k=1..6} theta_3(q^k), where theta_3() is the Jacobi theta function.

1, 2, 2, 6, 8, 10, 22, 24, 30, 50, 56, 68, 94, 100, 108, 156, 156, 156, 214, 196, 214, 292, 252, 248, 374, 330, 344, 486, 380, 440, 640, 548, 506, 752, 624, 656, 988, 644, 720, 1080, 872, 872, 1220, 876, 984, 1598, 1052, 1096, 1566, 1290, 1310, 1936, 1260, 1264, 2198

Offset

0,2

Comments

Also the number of integer solutions (a_1, a_2, ... , a_6) to the equation a_1^2 + 2*a_2^2 + ... + 6*a_6^2 = 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), this sequence (m=6), A320233 (m=7), A320234 (m=8).

Cf. A320067.

Sequence in context: A033760 A334831 A320231 * A320233 A320234 A320241

Adjacent sequences: A320229 A320230 A320231 * A320233 A320234 A320235

Keyword

nonn

Author

Seiichi Manyama, Oct 08 2018

Status

approved