A320147 - OEIS

%I #11 Oct 08 2018 02:50:34

%S 1,4,4,2,12,18,8,16,24,28,40,8,26,72,16,16,44,44,68,24,34,80,72,28,40,

%T 124,40,50,112,56,80,40,76,144,120,32,84,216,24,40,136,80,160,88,56,

%U 154,88,28,158,228,100,48,216,172,80,104,80,300,280,40,112,248,120,112

%N Number of integer solutions to a^2 + b^2 + 3*c^2 + 5*d^2 = n.

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

%H Seiichi Manyama, <a href="/A320147/b320147.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: theta_3(q)^2 * theta_3(q^3) * theta_3(q^5).

%Y Cf. A034896, A272364, A320148.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 06 2018