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Number of integer solutions to a^2 + b^2 + 3*c^2 + 6*d^2 = n.
5

%I #12 Oct 08 2018 02:50:54

%S 1,4,4,2,12,16,2,16,28,8,32,40,10,48,48,8,44,40,24,72,48,16,72,64,10,

%T 52,80,38,96,112,8,80,108,12,104,128,48,144,136,8,112,104,32,168,136,

%U 64,128,96,26,132,116,36,176,208,70,96,192,28,192,232,24,240,176,80

%N Number of integer solutions to a^2 + b^2 + 3*c^2 + 6*d^2 = n.

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

%H Seiichi Manyama, <a href="/A320148/b320148.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^6).

%Y Cf. A034896, A272364, A320147.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 06 2018