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A320232 Expansion of Product_{k=1..6} theta_3(q^k), where theta_3() is the Jacobi theta function. 9
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 (list; graph; refs; listen; history; text; internal format)
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: A033736 A033760 A320231 * A320233 A320234 A320241

Adjacent sequences:  A320229 A320230 A320231 * A320233 A320234 A320235

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 08 2018

STATUS

approved

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Last modified February 22 05:54 EST 2020. Contains 332116 sequences. (Running on oeis4.)