155523

In order to get a difference of odd between adjacent squares, it is necessary to have a pattern of even then odd or vice-versa. I found out that there were a few different ways to do it. The first one I tried was incredibly simple, it went up in a sequence of 1. Its picture has been enclosed.I then moved on to the second question. This time there should have been an even difference. I tried many different possibilities but finally had to conclude that this was impossible. I believe the reason for this is because odd and odd make even and even an even make even, however odd and even make odd so the whole shape would either have to be odd or even. There are not enough numbers to do this so it is impossible to do with the numbers 1-9.