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A320197
Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 9*d^2 = n.
11
1, 2, 2, 4, 4, 4, 8, 8, 6, 8, 12, 8, 16, 20, 8, 24, 28, 20, 22, 28, 16, 24, 48, 8, 24, 38, 24, 36, 40, 20, 16, 64, 22, 32, 44, 24, 46, 56, 36, 16, 64, 28, 64, 68, 36, 56, 56, 72, 56, 90, 26, 56, 88, 44, 92, 48, 48, 80, 108, 48, 48, 96, 40, 120, 92, 16, 48, 108, 52
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^9).
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 07 2018
STATUS
approved