a(n) = floor( exp(7/19)*n! ).

Terms

a(0) =1a(1) =2a(2) =8a(3) =34a(4) =173a(5) =1040a(6) =7285a(7) =58280a(8) =524525a(9) =5245250a(10) =57697759a(11) =692373112a(12) =9000850463a(13) =126011906488