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A320201
Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 13*d^2 = n.
11
1, 2, 2, 4, 4, 4, 8, 8, 6, 6, 8, 4, 8, 14, 4, 12, 20, 16, 18, 28, 24, 20, 36, 24, 16, 30, 32, 16, 32, 28, 16, 36, 30, 32, 32, 56, 28, 36, 52, 24, 56, 40, 24, 20, 40, 32, 32, 48, 40, 42, 50, 56, 42, 64, 52, 64, 48, 40, 80, 28, 60, 80, 52, 52, 44, 80, 40, 108, 88, 32, 100
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^13).
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 07 2018
STATUS
approved