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A320150 Number of integer solutions to a^2 + 2*b^2 + 2*c^2 + 3*d^2 = n. 7

%I #12 Oct 08 2018 03:50:09

%S 1,2,4,10,10,16,24,12,28,26,8,48,30,28,72,32,34,64,28,36,80,60,72,96,

%T 72,42,56,82,36,112,120,60,124,96,32,96,130,76,216,140,56,160,48,84,

%U 144,112,144,192,150,86,84,128,140,208,240,96,216,180,56,240,96,124,360

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

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

%H Seiichi Manyama, <a href="/A320150/b320150.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^3).

%Y Cf. A320149, A236924, A320151, A320152, A320153.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 06 2018

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Last modified April 23 15:20 EDT 2024. Contains 371916 sequences. (Running on oeis4.)