42814321domain: NAppears in sequencesG.f.: Product_{n>=1} (1 + a(n)*x^n/n!) = Sum_{n>=0} (n+1)^(n-1)*x^n/n! = LambertW(-x)/(-x).at n=8A159310G.f.: 1/Product_{n>=1} (1 - a(n)*x^n/n!) = Sum_{n>=0} (n+1)^(n-1)*x^n/n!.at n=8A159313