A320135 Number of integer solutions to a^2 + b^2 + 2*c^2 + 13*d^2 = n.

1, 4, 6, 8, 12, 8, 8, 16, 6, 12, 24, 8, 24, 26, 8, 28, 28, 40, 46, 40, 56, 28, 48, 64, 24, 76, 72, 32, 80, 32, 32, 92, 54, 80, 80, 64, 68, 56, 80, 64, 88, 112, 64, 40, 88, 52, 64, 128, 56, 108, 110, 64, 106, 80, 76, 160, 104, 96, 168, 56, 124, 112, 120, 124, 92, 208, 96

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^13).

Crossrefs

Cf. A097057, A320124, A320125, A320126, A320127, A320128, A320130, A320131, A320132, A320133, A320134, A320136.

Sequence in context: A334920 A014455 A320136 * A320134 A320133 A320132

Adjacent sequences: A320132 A320133 A320134 * A320136 A320137 A320138

Keyword

nonn

Author

Seiichi Manyama, Oct 06 2018

Status

approved