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Number of integer solutions to a^2 + b^2 + 2*c^2 + 3*d^2 = n.
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%I #12 Oct 06 2018 11:59:22

%S 1,4,6,10,20,20,24,40,22,28,56,20,50,80,28,80,84,32,78,80,68,100,120,

%T 80,88,124,56,82,136,100,140,200,86,80,192,72,140,240,120,200,248,80,

%U 112,176,100,260,224,160,210,172,186,128,272,180,240,400,124,200,280,116

%N Number of integer solutions to a^2 + b^2 + 2*c^2 + 3*d^2 = n.

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

%H Seiichi Manyama, <a href="/A320124/b320124.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^3).

%Y Cf. A097057, A320125, A320126, A320127, A320128.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 06 2018