A289791 a(n) = smallest integer not yet in the sequence with no digits shared with the previous term a(n-1), no repeated digits, and no 0-digit allowed.
1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 34, 15, 23, 14, 25, 13, 24, 16, 27, 18, 26, 17, 28, 19, 32, 41, 29, 31, 42, 35, 21, 36, 45, 37, 46, 38, 47, 39, 48, 51, 43, 52, 49, 53, 61, 54, 62, 57, 63, 58, 64, 59, 67, 81, 56, 71, 65, 72, 68, 73, 69, 74, 82, 67, 83, 75, 84, 76, 85
Offset: 1