A320134 - OEIS

%I #11 Oct 08 2018 03:20:53

%S 1,4,6,8,12,8,8,16,6,12,24,8,26,32,12,32,36,32,46,56,36,40,72,32,56,

%T 76,24,64,72,40,60,80,54,64,96,48,52,96,72,80,120,32,48,104,36,104,96,

%U 64,98,124,90,64,144,72,144,160,60,136,120,104,144,160,60,112,180

%N Number of integer solutions to a^2 + b^2 + 2*c^2 + 12*d^2 = n.

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

%H Seiichi Manyama, <a href="/A320134/b320134.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^12).

%Y Cf. A097057, A320124, A320125, A320126, A320127, A320128, A320130, A320131, A320132, A320133, A320135, A320136.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 06 2018