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A320199
Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 11*d^2 = n.
11
1, 2, 2, 4, 4, 4, 8, 8, 6, 6, 8, 6, 12, 16, 8, 16, 20, 24, 26, 24, 20, 24, 32, 24, 32, 14, 24, 40, 32, 24, 24, 32, 22, 64, 32, 24, 40, 36, 56, 40, 32, 8, 48, 32, 42, 56, 20, 48, 72, 74, 42, 72, 52, 56, 88, 48, 56, 40, 56, 76, 76, 56, 36, 96, 52, 88, 112, 44, 64, 92, 88
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^11).
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 07 2018
STATUS
approved