A320132 Number of integer solutions to a^2 + b^2 + 2*c^2 + 10*d^2 = n.

1, 4, 6, 8, 12, 8, 8, 16, 6, 12, 26, 16, 36, 40, 24, 32, 28, 48, 42, 48, 72, 32, 72, 64, 8, 60, 48, 64, 108, 56, 48, 64, 54, 64, 64, 72, 84, 104, 120, 32, 26, 88, 72, 120, 144, 88, 88, 144, 84, 92, 126, 64, 216, 152, 80, 160, 24, 128, 180, 144, 156, 104, 192, 128, 92

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^10).

Crossrefs

Cf. A097057, A320124, A320125, A320126, A320127, A320128, A320130, A320131, A320133, A320134, A320135, A320136.

Sequence in context: A320135 A320134 A320133 * A320131 A320130 A320128

Adjacent sequences: A320129 A320130 A320131 * A320133 A320134 A320135

Keyword

nonn

Author

Seiichi Manyama, Oct 06 2018

Status

approved