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%I #11 Oct 08 2018 06:26:50
%S 1,2,2,6,8,10,22,24,30,50,56,68,94,100,108,156,156,156,214,196,214,
%T 292,252,248,374,330,344,486,380,440,640,548,506,752,624,656,988,644,
%U 720,1080,872,872,1220,876,984,1598,1052,1096,1566,1290,1310,1936,1260,1264,2198
%N Expansion of Product_{k=1..6} theta_3(q^k), where theta_3() is the Jacobi theta function.
%C Also the number of integer solutions (a_1, a_2, ... , a_6) to the equation a_1^2 + 2*a_2^2 + ... + 6*a_6^2 = n.
%H Seiichi Manyama, <a href="/A320232/b320232.txt">Table of n, a(n) for n = 0..10000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/JacobiThetaFunctions.html">Jacobi Theta Functions</a>
%Y Product_{k=1..m} theta_3(q^k): A000122 (m=1), A033715 (m=2), A029594 (m=3), A320139 (m=4), A320231 (m=5), this sequence (m=6), A320233 (m=7), A320234 (m=8).
%Y Cf. A320067.
%K nonn
%O 0,2
%A _Seiichi Manyama_, Oct 08 2018
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