Expansion of e.g.f. theta_3^(-3/2).

Terms

a(0) =1a(1) =-3a(2) =15a(3) =-105a(4) =873a(5) =-8595a(6) =97335a(7) =-1233225a(8) =17298225a(9) =-266220675a(10) =4444840575a(11) =-79989057225