For n >= 2, a(n) = largest value of k such that n^k is <= n! (a(0) = a(1) = 1 by convention).

Terms

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