A320202 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 14*d^2 = n.

1, 2, 2, 4, 4, 4, 8, 8, 6, 6, 8, 4, 8, 12, 2, 12, 16, 16, 18, 20, 24, 24, 36, 20, 24, 22, 24, 40, 16, 20, 24, 32, 26, 40, 32, 24, 60, 36, 40, 36, 40, 40, 48, 28, 8, 52, 12, 48, 56, 34, 34, 48, 72, 28, 80, 40, 34, 60, 44, 60, 24, 60, 64, 76, 44, 36, 80, 60, 96, 88, 48, 56

Offset: 0

Author

Seiichi Manyama, Oct 07 2018

Keywords

• nonn

Comments

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

Links

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

Crossrefs

Cf. A320193, A320194, A320195, A320196, A033720, A320197, A320198, A320199, A320200, A320201.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4) * theta_3(q^14).