A320127 - OEIS

%I #11 Oct 06 2018 12:13:21

%S 1,4,6,8,12,8,10,24,18,28,48,24,40,56,12,40,60,32,78,72,24,48,48,48,

%T 70,84,84,80,120,56,32,120,66,120,192,48,84,152,36,112,144,80,180,168,

%U 120,104,96,96,136,172,126,160,168,104,82,192,84,144,336,120,200,248,60,168

%N Number of integer solutions to a^2 + b^2 + 2*c^2 + 6*d^2 = n.

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

%H Seiichi Manyama, <a href="/A320127/b320127.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^6).

%Y Cf. A097057, A320124, A320125, A320126, A320128.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 06 2018