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%I #15 Jul 08 2017 02:58:40
%S 1,0,66,512,-4548,-95232,235896,19184640,71390982,-3574929408,
%T -38686277880,549355393536,12560156358776,-44726582455296,
%U -3304393480144896,-11697847949288448,730893806097007116,7947401735635359744,-128019618062747473590,-2899743155552604891648
%N Fourth root of theta series of lattice {D_12}^{+} (cf. A004533).
%H Vincenzo Librandi, <a href="/A106212/b106212.txt">Table of n, a(n) for n = 0..200</a>
%H N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.NT/0509316">On the Integrality of n-th Roots of Generating Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
%t terms = 20; s = ((EllipticTheta[2, 0, q]^12 + EllipticTheta[3, 0, q]^12 + EllipticTheta[4, 0, q]^12)/2)^(1/4) + O[q]^terms; CoefficientList[s, q] (* _Jean-François Alcover_, Jul 08 2017 *)
%K sign
%O 0,3
%A _N. J. A. Sloane_ and _Nadia Heninger_, Jul 13 2005