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 A320164 Number of integer solutions to a^2 + 2*b^2 + 5*c^2 + 7*d^2 = n. 6

%I

%S 1,2,2,4,2,2,8,6,14,14,8,16,8,20,20,20,30,12,30,12,10,32,16,40,40,14,

%T 16,20,22,56,48,48,34,28,52,16,70,40,48,92,24,32,32,32,56,94,56,28,56,

%U 46,58,80,48,56,88,76,72,60,48,44,108,92,40,94,82,44,120,48,40

%N Number of integer solutions to a^2 + 2*b^2 + 5*c^2 + 7*d^2 = n.

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

%H Seiichi Manyama, <a href="/A320164/b320164.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^5) * theta_3(q^7).

%Y Cf. A319822, A320163, A320165, A320166, A033722.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 07 2018

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Last modified November 29 13:17 EST 2021. Contains 349416 sequences. (Running on oeis4.)