A320163 Number of integer solutions to a^2 + 2*b^2 + 5*c^2 + 6*d^2 = n.

1, 2, 2, 4, 2, 2, 10, 8, 14, 18, 4, 16, 20, 12, 32, 20, 10, 36, 14, 12, 26, 8, 36, 44, 30, 14, 16, 40, 40, 64, 52, 20, 62, 60, 12, 64, 26, 36, 108, 32, 28, 40, 40, 44, 80, 54, 44, 92, 68, 42, 42, 60, 36, 108, 82, 52, 96, 72, 28, 80, 100, 52, 180, 104, 42, 96, 32, 68, 108

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^5) * theta_3(q^6).

Crossrefs

Cf. A319822, A320164, A320165, A320166, A033722.

Sequence in context: A113200 A113198 A074130 * A113334 A127796 A131287

Adjacent sequences: A320160 A320161 A320162 * A320164 A320165 A320166

Keyword

nonn

Author

Seiichi Manyama, Oct 07 2018

Status

approved