a(n) is the smallest integer not yet in the sequence with no common base-3 digit with a(n-1).

Terms

a(0) =1a(1) =2a(2) =3a(3) =8a(4) =4a(5) =6a(6) =13a(7) =18a(8) =40a(9) =20a(10) =121a(11) =24a(12) =364a(13) =26a(14) =9a(15) =80a(16) =10a(17) =242a(18) =12a(19) =728a(20) =27a(21) =2186a(22) =28a(23) =6560a(24) =30a(25) =19682a(26) =31a(27) =59048a(28) =36a(29) =177146