Max_{k=0..n} k!*|Stirling1(n,k)|.

Terms

a(0) =1a(1) =1a(2) =2a(3) =6a(4) =36a(5) =240a(6) =2040a(7) =21000a(8) =235200a(9) =3265920a(10) =47628000a(11) =795175920a(12) =14411295360a(13) =279281882880