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%I #13 Oct 08 2018 06:24:51
%S 1,2,2,6,8,10,22,26,34,54,68,84,114,144,156,216,256,268,350,384,414,
%T 508,564,560,686,758,736,914,966,948,1140,1308,1182,1460,1640,1464,
%U 1928,2024,1928,2228,2564,2320,2748,3164,2584,3350,3640,3232,3738,4314,3566,4400
%N Expansion of Product_{k=1..7} theta_3(q^k), where theta_3() is the Jacobi theta function.
%C Also the number of integer solutions (a_1, a_2, ... , a_7) to the equation a_1^2 + 2*a_2^2 + ... + 7*a_7^2 = n.
%H Seiichi Manyama, <a href="/A320233/b320233.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), this sequence (m=7), A320234 (m=8).
%Y Cf. A320067.
%K nonn,look
%O 0,2
%A _Seiichi Manyama_, Oct 08 2018
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