a(n) = [x^n] 1/Sum_{k=0..n} k^k*x^k.

Terms

a(0) =1a(1) =-1a(2) =-3a(3) =-20a(4) =-197a(5) =-2511a(6) =-38924a(7) =-708105a(8) =-14769175a(9) =-347328540a(10) =-9093250277a(11) =-262350229095