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Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 14*d^2 = n.
11

%I #11 Oct 08 2018 02:51:25

%S 1,2,2,4,4,4,8,8,6,6,8,4,8,12,2,12,16,16,18,20,24,24,36,20,24,22,24,

%T 40,16,20,24,32,26,40,32,24,60,36,40,36,40,40,48,28,8,52,12,48,56,34,

%U 34,48,72,28,80,40,34,60,44,60,24,60,64,76,44,36,80,60,96,88,48,56

%N Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 14*d^2 = n.

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

%H Seiichi Manyama, <a href="/A320202/b320202.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4) * theta_3(q^14).

%Y Cf. A320193, A320194, A320195, A320196, A033720, A320197, A320198, A320199, A320200, A320201.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 07 2018