a(n) = floor(10^(n-1)/n).

Terms

a(0) =1a(1) =5a(2) =33a(3) =250a(4) =2000a(5) =16666a(6) =142857a(7) =1250000a(8) =11111111a(9) =100000000a(10) =909090909a(11) =8333333333a(12) =76923076923a(13) =714285714285