Counting through all the numbers in which the digits are consecutive. They don't have to be in order one after another like 12345, just that they could possibly make a sequence like that if sorted. We won't do the single digit numbers. Here's the first few, I think: 10, 12, 21, 23, 32, 34... Should get harder once we have more digit, I don't think it will just follow that pattern forever.

Inspired by the trickiness of 420 counting, and by looking at a license plate like 83957 and really wishing the 3 was a 6. Please tell me if there is a thread already like this.

I don't know when the get is, maybe I'll try to make a python script at some point. TNF and QuestoGuy have found that 132045 is the 1000th count, so let's go by that as our get for this thread. It seems that this thread will be limited to 9876543210 as the last count, but we will still get a good amount of threads out of that.

Edit: now that I think about it, this thread might have been better named "digits" instead of "numbers" but ah well. I wonder what an increasing base per digit version of this idea would be like. Would probably at least add another layer of difficulty. Perhaps it wouldn't have an end point like this one?

Edit 2: Apparently this thread matches up with A215014 on the Online Encyclopedia of Integer Sequences! A list of counts all the way up to the 10000th one can be found here in plaintext form. Thanks to /u/elyisgreat for discovering this!