A320152 Number of integer solutions to a^2 + 2*b^2 + 2*c^2 + 6*d^2 = n.

1, 2, 4, 8, 6, 8, 10, 4, 20, 26, 20, 40, 24, 8, 40, 20, 22, 64, 28, 40, 56, 16, 20, 32, 50, 62, 80, 80, 28, 40, 80, 20, 84, 100, 32, 144, 78, 24, 80, 32, 68, 160, 100, 88, 120, 56, 80, 64, 88, 86, 124, 160, 56, 72, 82, 40, 136, 160, 100, 232, 140, 40, 200, 52, 86, 288

Offset: 0

Author

Seiichi Manyama, Oct 06 2018

Keywords

• nonn

Comments

a(n) > 0 for n >= 0.

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A320149, A320150, A236924, A320151, A320153.

Formula

G.f.: theta_3(q) * theta_3(q^2)^2 * theta_3(q^6).