

A320233


Expansion of Product_{k=1..7} theta_3(q^k), where theta_3() is the Jacobi theta function.


9



1, 2, 2, 6, 8, 10, 22, 26, 34, 54, 68, 84, 114, 144, 156, 216, 256, 268, 350, 384, 414, 508, 564, 560, 686, 758, 736, 914, 966, 948, 1140, 1308, 1182, 1460, 1640, 1464, 1928, 2024, 1928, 2228, 2564, 2320, 2748, 3164, 2584, 3350, 3640, 3232, 3738, 4314, 3566, 4400
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OFFSET

0,2


COMMENTS

Also the number of integer solutions (a_1, a_2, ... , a_7) to the equation a_1^2 + 2*a_2^2 + ... + 7*a_7^2 = 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), this sequence (m=7), A320234 (m=8).
Cf. A320067.
Sequence in context: A033760 A320231 A320232 * A320234 A320241 A320242
Adjacent sequences: A320230 A320231 A320232 * A320234 A320235 A320236


KEYWORD

nonn,look


AUTHOR

Seiichi Manyama, Oct 08 2018


STATUS

approved



