Expansion of Sum_{k>=0} k! * ( x/(1+x^3) )^k.

Terms

a(0) =1a(1) =1a(2) =2a(3) =6a(4) =23a(5) =116a(6) =702a(7) =4945a(8) =39726a(9) =358596a(10) =3593759a(11) =39596032a(12) =475750740a(13) =6190873441a(14) =86740653730