1, 1, 3, 1, 5, 3, 7, 1, 9, 5, 11, 3, 13, 7, 15, 1, 17, 9, 19, 5, 21, 11, 23, 3, 25, 13, 27, 7, 29, 15, 31, 1.

All whole numbers from 1 - 32 are there. they took each number and divided it by two untill the number would no longer be whole if it was dived again. ex. 1 divided by 2 is 1/2 so it stays at one. 2 divded by 2 is 1 and 1 divided by 2 is 1/2 so that would stay 1. 3 divided 2 is 1.5 so it would stay 3. and it continues down the line.