Positive numbers k such that the decimal expansions of k and 1/k have the same nonzero digits.

Terms

a(0) =1a(1) =3a(2) =10a(3) =30a(4) =33a(5) =100a(6) =300a(7) =303a(8) =330a(9) =333a(10) =1000a(11) =3000a(12) =3003a(13) =3030a(14) =3300a(15) =3330a(16) =3333a(17) =10000a(18) =30000a(19) =30003a(20) =30030a(21) =30300a(22) =30303a(23) =33000a(24) =33300a(25) =33330a(26) =33333a(27) =100000a(28) =108911a(29) =300000