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

Terms

a(0) =1a(1) =3a(2) =3a(3) =-3a(4) =81a(5) =315a(6) =-765a(7) =4725a(8) =16065a(9) =1091475a(10) =10843875a(11) =-65956275a(12) =770425425a(13) =5892561675a(14) =-6512831325a(15) =213901813125