A106004 First monotonically increasing sequence such that erasing the first and last digit of each term and concatenating what is left results in the concatenation of all terms of the sequence.

110, 111, 200, 210, 211, 212, 220, 300, 400, 420, 510, 600, 620, 710, 711, 720, 810, 820, 822, 823, 900, 930, 1000, 1400, 2040, 2200, 2510, 3060, 4000, 4620, 5070, 6100, 6710, 7170, 7200, 7810, 8080, 8200, 9280, 12390, 20090, 23010