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%I #11 Oct 08 2018 06:06:55
%S 1,2,2,6,8,10,20,20,26,38,40,48,54,60,56,80,76,60,106,76,102,132,100,
%T 128,160,174,136,210,164,164,280,160,182,256,216,232,320,204,244,408,
%U 288,288,368,316,292,518,276,264,510,310,454,480,380,408,616,524,428,656
%N Expansion of Product_{k=1..5} theta_3(q^k), where theta_3() is the Jacobi theta function.
%C Also the number of integer solutions (a_1, a_2, ... , a_5) to the equation a_1^2 + 2*a_2^2 + ... + 5*a_5^2 = n.
%H Seiichi Manyama, <a href="/A320231/b320231.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), this sequence (m=5), A320232 (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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