A320147 Number of integer solutions to a^2 + b^2 + 3*c^2 + 5*d^2 = n.

1, 4, 4, 2, 12, 18, 8, 16, 24, 28, 40, 8, 26, 72, 16, 16, 44, 44, 68, 24, 34, 80, 72, 28, 40, 124, 40, 50, 112, 56, 80, 40, 76, 144, 120, 32, 84, 216, 24, 40, 136, 80, 160, 88, 56, 154, 88, 28, 158, 228, 100, 48, 216, 172, 80, 104, 80, 300, 280, 40, 112, 248, 120, 112

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)^2 * theta_3(q^3) * theta_3(q^5).

Crossrefs

Cf. A034896, A272364, A320148.

Sequence in context: A224821 A034933 A320148 * A369410 A272364 A188657

Adjacent sequences: A320144 A320145 A320146 * A320148 A320149 A320150

Keyword

nonn

Author

Seiichi Manyama, Oct 06 2018

Status

approved