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Number of integer solutions to a^2 + 2*b^2 + 3*c^2 + 5*d^2 = n.
8

%I #13 Oct 07 2018 14:34:39

%S 1,2,2,6,6,6,16,8,14,26,8,32,26,8,40,16,22,40,22,32,46,40,24,48,40,42,

%T 72,50,32,64,56,28,74,48,60,112,78,24,72,76,40,144,48,48,120,50,52,48,

%U 70,98,150,128,40,84,128,52,176,120,56,208,96,72,92,72,102,192,156

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

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

%H Seiichi Manyama, <a href="/A320140/b320140.txt">Table of n, a(n) for n = 0..10000</a>

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

%Y Cf. A320138, A320139, A033712, A320188, A320189, A320190, A320191.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 06 2018