A376297 - OEIS

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

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OFFSET

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..80.

EXAMPLE

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.