A320199 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 11*d^2 = n.

1, 2, 2, 4, 4, 4, 8, 8, 6, 6, 8, 6, 12, 16, 8, 16, 20, 24, 26, 24, 20, 24, 32, 24, 32, 14, 24, 40, 32, 24, 24, 32, 22, 64, 32, 24, 40, 36, 56, 40, 32, 8, 48, 32, 42, 56, 20, 48, 72, 74, 42, 72, 52, 56, 88, 48, 56, 40, 56, 76, 76, 56, 36, 96, 52, 88, 112, 44, 64, 92, 88

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) * theta_3(q^2) * theta_3(q^4) * theta_3(q^11).

Crossrefs

Cf. A320193, A320194, A320195, A320196, A033720, A320197, A320198, A320200, A320201, A320202.

Sequence in context: A320202 A320201 A320200 * A033756 A320198 A320197

Adjacent sequences: A320196 A320197 A320198 * A320200 A320201 A320202

Keyword

nonn

Author

Seiichi Manyama, Oct 07 2018

Status

approved