Expansion of e.g.f. x/(1+sin(x)).

Terms

a(0) =0a(1) =1a(2) =-2a(3) =6a(4) =-20a(5) =80a(6) =-366a(7) =1904a(8) =-11080a(9) =71424a(10) =-505210a(11) =3891712a(12) =-32433180a(13) =290787328a(14) =-2791053734a(15) =28556359680a(16) =-310264194320