[ exp(13/19)*n! ].

Terms

a(0) =1a(1) =3a(2) =11a(3) =47a(4) =237a(5) =1427a(6) =9990a(7) =79922a(8) =719303a(9) =7193030a(10) =79123333a(11) =949479997a(12) =12343239971a(13) =172805359602