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A320231 Expansion of Product_{k=1..5} theta_3(q^k), where theta_3() is the Jacobi theta function. 9
1, 2, 2, 6, 8, 10, 20, 20, 26, 38, 40, 48, 54, 60, 56, 80, 76, 60, 106, 76, 102, 132, 100, 128, 160, 174, 136, 210, 164, 164, 280, 160, 182, 256, 216, 232, 320, 204, 244, 408, 288, 288, 368, 316, 292, 518, 276, 264, 510, 310, 454, 480, 380, 408, 616, 524, 428, 656 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also the number of integer solutions (a_1, a_2, ... , a_5) to the equation a_1^2 + 2*a_2^2 + ... + 5*a_5^2 = 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), this sequence (m=5), A320232 (m=6), A320233 (m=7), A320234 (m=8).

Cf. A320067.

Sequence in context: A033748 A033736 A033760 * A320232 A320233 A320234

Adjacent sequences:  A320228 A320229 A320230 * A320232 A320233 A320234

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.)