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A320152 Number of integer solutions to a^2 + 2*b^2 + 2*c^2 + 6*d^2 = n. 7

%I

%S 1,2,4,8,6,8,10,4,20,26,20,40,24,8,40,20,22,64,28,40,56,16,20,32,50,

%T 62,80,80,28,40,80,20,84,100,32,144,78,24,80,32,68,160,100,88,120,56,

%U 80,64,88,86,124,160,56,72,82,40,136,160,100,232,140,40,200,52,86,288

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

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

%H Seiichi Manyama, <a href="/A320152/b320152.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: theta_3(q) * theta_3(q^2)^2 * theta_3(q^6).

%Y Cf. A320149, A320150, A236924, A320151, A320153.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 06 2018

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Last modified January 22 19:50 EST 2020. Contains 331153 sequences. (Running on oeis4.)