A320165 Number of integer solutions to a^2 + 2*b^2 + 5*c^2 + 8*d^2 = n.

1, 2, 2, 4, 2, 2, 8, 4, 12, 14, 4, 20, 8, 8, 28, 8, 30, 32, 6, 28, 10, 16, 40, 20, 36, 26, 20, 24, 8, 36, 36, 48, 60, 16, 24, 40, 22, 56, 56, 40, 72, 52, 16, 36, 40, 38, 100, 52, 40, 70, 30, 48, 32, 56, 88, 84, 108, 48, 28, 84, 16, 108, 96, 44, 150, 48, 32, 52, 32, 64, 120

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^8).

Crossrefs

Cf. A319822, A320163, A320164, A320166, A033722.

Sequence in context: A278542 A033722 A320166 * A320164 A113200 A113198

Adjacent sequences: A320162 A320163 A320164 * A320166 A320167 A320168

Keyword

nonn

Author

Seiichi Manyama, Oct 07 2018

Status

approved