A320134 Number of integer solutions to a^2 + b^2 + 2*c^2 + 12*d^2 = n.

1, 4, 6, 8, 12, 8, 8, 16, 6, 12, 24, 8, 26, 32, 12, 32, 36, 32, 46, 56, 36, 40, 72, 32, 56, 76, 24, 64, 72, 40, 60, 80, 54, 64, 96, 48, 52, 96, 72, 80, 120, 32, 48, 104, 36, 104, 96, 64, 98, 124, 90, 64, 144, 72, 144, 160, 60, 136, 120, 104, 144, 160, 60, 112, 180

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)^2 * theta_3(q^2) * theta_3(q^12).

Crossrefs

Cf. A097057, A320124, A320125, A320126, A320127, A320128, A320130, A320131, A320132, A320133, A320135, A320136.

Sequence in context: A014455 A320136 A320135 * A320133 A320132 A320131

Adjacent sequences: A320131 A320132 A320133 * A320135 A320136 A320137

Keyword

nonn

Author

Seiichi Manyama, Oct 06 2018

Status

approved