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%I #12 Oct 08 2018 08:29:01
%S 1,2,2,6,8,10,22,26,36,60,76,100,142,180,220,312,376,448,602,696,834,
%T 1056,1204,1392,1734,1942,2188,2654,2898,3248,3860,4180,4540,5376,
%U 5704,6176,7242,7532,8184,9444,9868,10480,12168,12544,13348,15554,15832,16816,19430
%N Expansion of Product_{k=1..9} theta_3(q^k), where theta_3() is the Jacobi theta function.
%C Also the number of integer solutions (a_1, a_2, ... , a_9) to the equation a_1^2 + 2*a_2^2 + ... + 9*a_9^2 = n.
%H Seiichi Manyama, <a href="/A320241/b320241.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), A320232 (m=6), A320233 (m=7), A320234 (m=8), this sequence (m=9), A320242 (m=10).
%Y Cf. A320067.
%K nonn,look
%O 0,2
%A _Seiichi Manyama_, Oct 08 2018
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