A320151 Number of integer solutions to a^2 + 2*b^2 + 2*c^2 + 5*d^2 = n.

1, 2, 4, 8, 6, 10, 12, 8, 28, 22, 24, 40, 8, 32, 36, 16, 54, 32, 28, 56, 26, 32, 48, 40, 84, 74, 72, 48, 24, 92, 52, 96, 92, 32, 96, 80, 42, 64, 80, 80, 168, 124, 48, 72, 72, 94, 132, 104, 72, 126, 124, 96, 48, 96, 120, 168, 252, 96, 120, 168, 48, 196, 128, 88, 246

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)^2 * theta_3(q^5).

Crossrefs

Cf. A320149, A320150, A236924, A320152, A320153.

Sequence in context: A320152 A352763 A022478 * A121711 A249681 A256561

Adjacent sequences: A320148 A320149 A320150 * A320152 A320153 A320154

Keyword

nonn

Author

Seiichi Manyama, Oct 06 2018

Status

approved