%I #11 Oct 07 2018 03:33:25

%S 1,4,6,8,12,8,8,16,6,14,32,20,40,48,16,32,44,28,54,72,40,64,72,16,40,

%T 52,56,92,96,56,32,80,38,48,104,64,102,144,52,32,112,44,128,168,68,

%U 136,128,96,104,132,62,144,176,104,172,96,112,112,192,116,96,240,96,176

%N Number of integer solutions to a^2 + b^2 + 2*c^2 + 9*d^2 = n.

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

%H Seiichi Manyama, <a href="/A320131/b320131.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^9).

%Y Cf. A097057, A320124, A320125, A320126, A320127, A320128, A320130, A320132, A320133, A320134, A320135, A320136.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 06 2018