A320140 Number of integer solutions to a^2 + 2*b^2 + 3*c^2 + 5*d^2 = n.

1, 2, 2, 6, 6, 6, 16, 8, 14, 26, 8, 32, 26, 8, 40, 16, 22, 40, 22, 32, 46, 40, 24, 48, 40, 42, 72, 50, 32, 64, 56, 28, 74, 48, 60, 112, 78, 24, 72, 76, 40, 144, 48, 48, 120, 50, 52, 48, 70, 98, 150, 128, 40, 84, 128, 52, 176, 120, 56, 208, 96, 72, 92, 72, 102, 192, 156

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. A320138, A320139, A033712, A320188, A320189, A320190, A320191.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^3) * theta_3(q^5).