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A320133 Number of integer solutions to a^2 + b^2 + 2*c^2 + 11*d^2 = n. 9

%I #14 Oct 08 2018 03:00:16

%S 1,4,6,8,12,8,8,16,6,12,24,10,32,36,16,40,28,32,62,36,48,64,40,64,56,

%T 28,56,56,80,68,48,80,38,80,80,32,92,88,88,112,40,16,112,52,90,144,44,

%U 120,128,100,78,96,116,144,160,112,128,80,136,104,144,132,92,240

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

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

%H Seiichi Manyama, <a href="/A320133/b320133.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: theta_3(q)^2 * theta_3(q^2) * theta_3(q^11).

%Y Cf. A097057, A320124, A320125, A320126, A320127, A320128, A320130, A320131, A320132, A320134, A320135, A320136.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 06 2018

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Last modified August 21 01:12 EDT 2024. Contains 375342 sequences. (Running on oeis4.)