E.g.f.: Product_{n>=1} 1/(1 - x^n)^(1/n!).

Terms

a(0) =1a(1) =1a(2) =3a(3) =10a(4) =50a(5) =261a(6) =1877a(7) =13511a(8) =122663a(9) =1150988a(10) =12656562a(11) =142842855a(12) =1882666887a(13) =24961232401a(14) =375233443223