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A320166 Number of integer solutions to a^2 + 2*b^2 + 5*c^2 + 9*d^2 = n. 6
1, 2, 2, 4, 2, 2, 8, 4, 10, 12, 4, 16, 12, 8, 16, 16, 18, 32, 26, 4, 26, 16, 24, 44, 16, 22, 32, 28, 12, 24, 20, 40, 66, 40, 8, 16, 44, 24, 76, 32, 20, 72, 40, 28, 32, 46, 36, 108, 60, 22, 58, 32, 48, 76, 56, 36, 80, 72, 68, 64, 64, 24, 96, 116, 42, 112, 48, 44, 104, 32 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) > 0 for n >= 0.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

FORMULA

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^5) * theta_3(q^9).

CROSSREFS

Cf. A319822, A320163, A320164, A320165, A033722.

Sequence in context: A278244 A278542 A033722 * A320165 A320164 A113200

Adjacent sequences:  A320163 A320164 A320165 * A320167 A320168 A320169

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 07 2018

STATUS

approved

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Last modified September 17 07:35 EDT 2021. Contains 347478 sequences. (Running on oeis4.)