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A320247 Expansion of Product_{k=1..16} 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, 202, 258, 370, 478, 600, 822, 1032, 1310, 1720, 2140, 2656, 3418, 4222, 5172, 6510, 7922, 9636, 11928, 14424, 17268, 21088, 25236, 29996, 36222, 42824, 50544, 60252, 70830, 82832, 97732, 113956, 132242, 154866, 179164, 206396 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also the number of integer solutions (a_1, a_2, ... , a_16) to the equation a_1^2 + 2*a_2^2 + ... + 16*a_16^2 = 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), A320246 (m=12), this sequence (m=16).

Cf. A320067.

Sequence in context: A320241 A320242 A320246 * A320248 A320067 A248823

Adjacent sequences:  A320244 A320245 A320246 * A320248 A320249 A320250

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 08 2018

STATUS

approved

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Last modified February 21 23:41 EST 2020. Contains 332113 sequences. (Running on oeis4.)