A320130 Number of integer solutions to a^2 + b^2 + 2*c^2 + 8*d^2 = n.

1, 4, 6, 8, 12, 8, 8, 16, 8, 20, 36, 24, 48, 40, 16, 48, 24, 40, 78, 40, 72, 64, 24, 48, 32, 60, 84, 80, 96, 40, 48, 64, 24, 96, 108, 96, 156, 72, 40, 112, 48, 104, 192, 88, 144, 168, 48, 96, 96, 100, 186, 144, 168, 136, 80, 144, 64, 160, 180, 120, 288, 104, 64, 208

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^8).

Crossrefs

Cf. A097057, A320124, A320125, A320126, A320127, A320128, A320131, A320132, A320133, A320134, A320135, A320136.

Sequence in context: A320133 A320132 A320131 * A320128 A320127 A352374

Adjacent sequences: A320127 A320128 A320129 * A320131 A320132 A320133

Keyword

nonn

Author

Seiichi Manyama, Oct 06 2018

Status

approved