login
A320147
Number of integer solutions to a^2 + b^2 + 3*c^2 + 5*d^2 = n.
5
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
FORMULA
G.f.: theta_3(q)^2 * theta_3(q^3) * theta_3(q^5).
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 06 2018
STATUS
approved