In the following sequence, each of the numbers from 1 to 8 occurs twice, with each number telling you how many places after the first occurrence of that number is the second occurrence of that number:
8 6 4 2 7 2 4 6 8 3 5 7 3 1 1 5
For example, the second 6 is 6 places after the first 6.
Construct a sequence of ten numbers with the same property using each of the numbers from 1 to 5 twice.