A320136 Number of integer solutions to a^2 + b^2 + 2*c^2 + 14*d^2 = n.

1, 4, 6, 8, 12, 8, 8, 16, 6, 12, 24, 8, 24, 24, 2, 24, 24, 32, 54, 40, 40, 48, 36, 40, 56, 44, 72, 80, 48, 40, 24, 64, 66, 80, 96, 48, 84, 72, 40, 72, 72, 80, 144, 56, 24, 104, 12, 96, 120, 68, 102, 96, 120, 56, 80, 80, 98, 120, 132, 120, 72, 120, 64, 152, 84, 72, 240, 120

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^14).

Crossrefs

Cf. A097057, A320124, A320125, A320126, A320127, A320128, A320130, A320131, A320132, A320133, A320134, A320135.

Sequence in context: A334927 A334920 A014455 * A320135 A320134 A320133

Adjacent sequences: A320133 A320134 A320135 * A320137 A320138 A320139

Keyword

nonn

Author

Seiichi Manyama, Oct 06 2018

Status

approved