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Number of integer solutions to a^2 + b^2 + 2*c^2 + 5*d^2 = n.
14

%I #11 Oct 06 2018 12:06:35

%S 1,4,6,8,12,10,16,28,22,36,40,24,56,36,24,64,28,64,78,24,58,48,68,92,

%T 80,92,72,112,92,48,104,96,118,176,64,48,124,84,148,160,104,120,176,

%U 120,72,146,88,204,216,124,126,96,180,148,224,188,120,304,216,120,224,96

%N Number of integer solutions to a^2 + b^2 + 2*c^2 + 5*d^2 = n.

%C a(n) > 0 for n >= 0.

%H Seiichi Manyama, <a href="/A320126/b320126.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: theta_3(q)^2 * theta_3(q^2) * theta_3(q^5).

%Y Cf. A097057, A320124, A320125, A320127, A320128.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 06 2018