[seqfan] Pairs in the right place

[Éric Angelini]

[Brussels, May 17 2020, 02:02 local palindrome time]
Hello SeqFans,
In the hereunder sequence S any pair of two adjacent digits (don't mind spaces and commas) will form a 2-digit number k in position k. This is the lexicographically earliest sequence of distinct positive integers with this property.

S = 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 16, 18, 32, 123, 21, 23, 29, 43, 234, 34, 38, 54, 143, 45, 41, 49, 61, 65, 456, 56, 76, 111, 656, 71, 671, 67, 676, 78, 91, 183, 85, 418, 99, 129, 496, 999, 94, 96, 112, 113, 83, 89, 114, 115, 411, 116, 117, 118, 321, 121,...

Example:  the pair (1,2) is in position 12, the pair (2,3) is in position 23, the pair (3,4) is in position 34, the pair (4,5)  is in position 45, the pair (5,6) is in position 56,  the pair (6,7) is in position 67, the pair (7,8) is in position 78, the pair (8,9) is in position 89, the pair (9,1) is in position 91, etc.

Could someone be so kind to check and extend S, if this is worth entering the OEIS?
Best,
É.
P.-S.
This mail is also visible here, on my personal blog, with colors:
http://cinquantesignes.blogspot.com/2020/05/pairs-in-right-place.html