You did. I cheated to get the rest. Just cut and pasted from yours. www.ddhw.com
They are periodical and you found the period before I did.
As for the 思路, you just start with a digit less than 5 and start to multiply by 2 and to see when it repeats itself. You will get one of the above numbers.
It looks like they and their repeats are the only such numbers. A repeat is something like