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A320246 Expansion of Product_{k=1..12} theta_3(q^k), where theta_3() is the Jacobi theta function. 4
1, 2, 2, 6, 8, 10, 22, 26, 36, 60, 78, 106, 152, 200, 252, 360, 456, 564, 770, 940, 1178, 1532, 1852, 2256, 2858, 3430, 4100, 5086, 5982, 7076, 8612, 10040, 11672, 13960, 16068, 18496, 21866, 24796, 28288, 32924, 37074, 41876, 48156, 53732, 60014, 68546, 75836, 83996 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also the number of integer solutions (a_1, a_2, ... , a_12) to the equation a_1^2 + 2*a_2^2 + ... + 12*a_12^2 = 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), A320241 (m=9), A320242 (m=10), this sequence (m=12), A320247 (m=16).

Cf. A320067.

Sequence in context: A320234 A320241 A320242 * A320247 A320248 A320067

Adjacent sequences:  A320243 A320244 A320245 * A320247 A320248 A320249

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 08 2018

STATUS

approved

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Last modified February 26 05:51 EST 2020. Contains 332277 sequences. (Running on oeis4.)