A320166 Number of integer solutions to a^2 + 2*b^2 + 5*c^2 + 9*d^2 = n.

1, 2, 2, 4, 2, 2, 8, 4, 10, 12, 4, 16, 12, 8, 16, 16, 18, 32, 26, 4, 26, 16, 24, 44, 16, 22, 32, 28, 12, 24, 20, 40, 66, 40, 8, 16, 44, 24, 76, 32, 20, 72, 40, 28, 32, 46, 36, 108, 60, 22, 58, 32, 48, 76, 56, 36, 80, 72, 68, 64, 64, 24, 96, 116, 42, 112, 48, 44, 104, 32

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^9).

Crossrefs

Cf. A319822, A320163, A320164, A320165, A033722.

Sequence in context: A278244 A278542 A033722 * A320165 A320164 A113200

Adjacent sequences: A320163 A320164 A320165 * A320167 A320168 A320169

Keyword

nonn

Author

Seiichi Manyama, Oct 07 2018

Status

approved