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A320200
Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 12*d^2 = n.
11
1, 2, 2, 4, 4, 4, 8, 8, 6, 6, 8, 4, 10, 16, 4, 16, 20, 16, 26, 28, 20, 20, 40, 16, 24, 38, 8, 32, 40, 20, 20, 40, 22, 32, 64, 24, 28, 48, 40, 40, 56, 16, 16, 52, 20, 52, 32, 32, 50, 62, 62, 32, 80, 36, 80, 80, 28, 68, 40, 52, 80, 80, 20, 56, 84, 48, 100, 100, 32, 64
OFFSET
0,2
COMMENTS
a(n) > 0 for n >= 0.
LINKS
FORMULA
G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4) * theta_3(q^12).
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 07 2018
STATUS
approved