A037091 Lexicographically first strictly increasing base 3 autovarious sequence: a(n) = number of distinct a(k) mod 3^n (written in base 3).

1, 2, 11, 12, 101, 1001, 1002, 1011, 1012, 1101, 10001, 10002, 10011, 10012, 10101, 11001, 11002, 11011, 11012, 11101, 20001, 20002, 20011, 20012, 20101, 21001, 21002, 21011, 100001, 1000001, 1000002, 10000001, 100000001, 100000002