A001389 To get the 6th term, for example, note that 5th term has three (10 in ternary!) 1's, one (1) 0, etc., giving 10 1 1 0 1 2 2 1 1 2.

2, 12, 1112, 10112, 11102112, 10110122112, 1110211011222112, 10110122110211022112, 1110211011222110122110222112