A097912 Look at the first 10 digits of the sequence: they are all different. The same for the next 10. And the next 10, etc. This sequence is the slowest increasing one with that property.
0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 16, 27, 38, 49, 50, 51, 62, 73, 84, 90, 94, 156, 278, 301, 326, 478, 590, 591, 623, 748, 750, 823, 946, 1034, 1567, 2890, 2891, 3567, 4012, 4367, 5890, 5891, 6234, 7012, 7345, 8690, 8723, 9456, 10345, 16789, 20145, 26789, 30125
Offset: 0