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

Terms

a(0) =0a(1) =1a(2) =2a(3) =5a(4) =12a(5) =1a(6) =-450a(7) =-6931a(8) =-89096a(9) =-1120895a(10) =-14394150a(11) =-191263051a(12) =-2638282812a(13) =-37716883775a(14) =-556075744042