A114880 a(n) is the largest base-3 string such that the n-th number coprime to 3 does not divide any substring of a(n).
1, 212, 2111, 22222, 21112, 222111222, 212121212, 22112121, 212221222212, 2221221221222, 222222222222222, 22222222222222222, 1121212211122121211, 2121212121212121212, 112221112211111121, 21111111111111111111
Offset: 2
Examples
a(3) = 212 (base three) because the 3rd number coprime to 4 is 4, and 4 does not divide any substring of a(3).