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A320241 Expansion of Product_{k=1..9} theta_3(q^k), where theta_3() is the Jacobi theta function. 6
1, 2, 2, 6, 8, 10, 22, 26, 36, 60, 76, 100, 142, 180, 220, 312, 376, 448, 602, 696, 834, 1056, 1204, 1392, 1734, 1942, 2188, 2654, 2898, 3248, 3860, 4180, 4540, 5376, 5704, 6176, 7242, 7532, 8184, 9444, 9868, 10480, 12168, 12544, 13348, 15554, 15832, 16816, 19430 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also the number of integer solutions (a_1, a_2, ... , a_9) to the equation a_1^2 + 2*a_2^2 + ... + 9*a_9^2 = 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), this sequence (m=9), A320242 (m=10).

Cf. A320067.

Sequence in context: A320232 A320233 A320234 * A320242 A320246 A320247

Adjacent sequences:  A320238 A320239 A320240 * A320242 A320243 A320244

KEYWORD

nonn,look

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.)