Final digits of !n = Sum_{i=0..n} i! (A003422) for very large n, read from right.

Terms

a(0) =4a(1) =1a(2) =3a(3) =0a(4) =4a(5) =9a(6) =0a(7) =2a(8) =4a(9) =0a(10) =2a(11) =9a(12) =8a(13) =2a(14) =5a(15) =6a(16) =3a(17) =3a(18) =2a(19) =4a(20) =4a(21) =6a(22) =5a(23) =5a(24) =2a(25) =5a(26) =0a(27) =9a(28) =3a(29) =0