Nearest integer to e*n!.

Terms

a(0) =3a(1) =3a(2) =5a(3) =16a(4) =65a(5) =326a(6) =1957a(7) =13700a(8) =109601a(9) =986410a(10) =9864101a(11) =108505112a(12) =1302061345a(13) =16926797486a(14) =236975164805