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A320166 Number of integer solutions to a^2 + 2*b^2 + 5*c^2 + 9*d^2 = n. 6

%I

%S 1,2,2,4,2,2,8,4,10,12,4,16,12,8,16,16,18,32,26,4,26,16,24,44,16,22,

%T 32,28,12,24,20,40,66,40,8,16,44,24,76,32,20,72,40,28,32,46,36,108,60,

%U 22,58,32,48,76,56,36,80,72,68,64,64,24,96,116,42,112,48,44,104,32

%N Number of integer solutions to a^2 + 2*b^2 + 5*c^2 + 9*d^2 = n.

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

%H Seiichi Manyama, <a href="/A320166/b320166.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^9).

%Y Cf. A319822, A320163, A320164, A320165, A033722.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 07 2018

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Last modified October 17 00:35 EDT 2021. Contains 348048 sequences. (Running on oeis4.)