[ exp(5/16)*n! ].

Terms

a(0) =1a(1) =2a(2) =8a(3) =32a(4) =164a(5) =984a(6) =6888a(7) =55110a(8) =495998a(9) =4959981a(10) =54559796a(11) =654717560a(12) =8511328289a(13) =119158596058