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Product t2(q^d); d | 31, where t2 = theta2(q)/(2*q^(1/4)).
4

%I #15 Jan 09 2023 06:09:00

%S 1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,

%T 1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,

%U 0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0

%N Product t2(q^d); d | 31, where t2 = theta2(q)/(2*q^(1/4)).

%C Also the number of positive odd solutions to equation x^2 + 31y^2 = 8(n + 4). - _Seiichi Manyama_, May 21 2017

%H Seiichi Manyama, <a href="/A033790/b033790.txt">Table of n, a(n) for n = 0..10000</a>

%F Expansion of q^(-4) * (eta(q^2) * eta(q^62))^2 / (eta(q) * eta(q^31)) in powers of q. - _Seiichi Manyama_, May 21 2017

%Y Cf. A035162, A128617, A033782.

%K nonn

%O 0,137

%A _N. J. A. Sloane_

%E More terms from _Seiichi Manyama_, May 21 2017