A243992 The sequence can be seen as a succession of digit-chunks ending in "1". The digit-size of each chunk is given by the sequence itself. No term is repeated. This is the lexically first sequence with the property.
1, 2, 10, 3, 4, 5, 6, 7, 8, 9, 21, 20, 12, 22, 13, 23, 31, 24, 25, 41, 26, 27, 28, 14, 29, 30, 32, 15, 33, 34, 35, 51, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 16, 47, 48, 49, 50, 52, 53, 54, 55, 56, 17
Offset: 1
Examples
If we put a vertical stroke right after each "1", the sequence becomes: 1|2,1|0,3,4,5,6,7,8,9,21|20,1|2,22,1|3,23,31|24,25,41|26,27,28,1|4,29,30,32,1|5... Now count the digits between two strokes: you'll get 1,2,10,3,4,5,6,7,8,... which is the sequence itself.
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