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

Terms

a(0) =1a(1) =0a(2) =-1a(3) =-6a(4) =-35a(5) =-220a(6) =-1501a(7) =-10962a(8) =-83495a(9) =-632952a(10) =-4260601a(11) =-13852190a(12) =355180981a(13) =12991115436a(14) =320077652075