A376297 Smallest terms which are the concatenation of two unambiguous distinct integers > 0.

12, 13, 14, 15, 16, 17, 18, 19, 23, 24, 25, 26, 27, 28, 29, 34, 35, 36, 37, 38, 39, 45, 46, 47, 48, 49, 56, 57, 58, 59, 67, 68, 69, 78, 79, 89, 101, 102, 103, 104, 105, 106, 107, 108, 109, 111, 120, 130, 140, 150, 160, 170, 180, 190, 202, 203, 204, 205, 206, 207, 208, 209, 210, 220, 222, 230, 240, 250, 260, 270, 280, 290, 330, 333, 340, 350, 360, 370, 380, 390

Offset: 1

Author

Eric Angelini, Sep 19 2024

Keywords

• nonn
• base

Comments

The sequence is infinite as it can always be extended with the smallest integer <1(n times 0)1> not yet present.

Examples

			10 is not in the sequence because 0 is not > 0.
11 is not in the sequence because 1 and 1 are not distinct.
21 is not in the sequence because 12 is already in it.
101 is in the sequence because it can be unambiguously split into the two distinct integers 10 and 1.
110 is not in the sequence because 101 is already in it.
111 is in the sequence because it can be split into the two distinct integers 1 and 11 (though in two ways).