Expansion of e.g.f. theta_3^(1/2).

Terms

a(0) =1a(1) =1a(2) =-1a(3) =3a(4) =9a(5) =-15a(6) =135a(7) =-2205a(8) =21105a(9) =76545a(10) =694575a(11) =-6392925a(12) =-56600775a(13) =66891825a(14) =-19964169225a(15) =741313447875