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A320239 Expansion of theta_3(q) * theta_3(q^3) * theta_3(q^5), where theta_3() is the Jacobi theta function. 2
1, 2, 0, 2, 6, 2, 4, 4, 4, 14, 0, 0, 14, 4, 4, 0, 6, 12, 8, 4, 2, 20, 0, 4, 20, 2, 8, 10, 12, 4, 4, 4, 16, 32, 0, 0, 26, 4, 0, 12, 0, 20, 8, 4, 8, 6, 4, 4, 42, 18, 0, 8, 20, 12, 16, 0, 12, 48, 8, 8, 0, 16, 8, 12, 14, 0, 16, 4, 20, 24, 4, 0, 36, 28, 0, 2, 20, 8, 8, 4, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also the number of integer solutions (a_1, a_2, a_3) to the equation a_1^2 + 3*a_2^2 + 5*a_3^2 = 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^(2*k-1)): A000122 (m=1), A033716 (m=2), this sequence (m=3), A320240 (m=4).

Cf. A320078.

Sequence in context: A139213 A306079 A242860 * A033727 A033757 A320240

Adjacent sequences:  A320236 A320237 A320238 * A320240 A320241 A320242

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 08 2018

STATUS

approved

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Last modified January 26 23:05 EST 2020. Contains 331289 sequences. (Running on oeis4.)