This is getting complicated, but I think I found one pattern.
One thing I thought is how there might be those two big blobs at the end. If we take for granted that there are two types of blobs at these sticks. There are the standard small blobs at the other end (except for the first one, more on that later), and then there is the possibility of small or big blobs at the other end.
Now, if we divide these squares into four groups of four squares, we get the following. In the groups of four, the bottom right square seems to indicate how many squares in that group have the standard small blobs at the other end. For example, in the top left group, only three squares have the standard small blobs at the other end. This means, that in the bottom right square of the top left group the other blobs indicate this by having one small blob and one big blob, these indicating the number 3, if we count one big blob as having the value of two squares with standard small blobs. In a similar way, the bottom left group has the standard small blops in all four squares, meaning that the bottom right square in that group has the two big blobs indicating the value 4.
This would mean, that because the upper row and the left column have no blobs other than the two standard blobs, their purpose is only to indicate the value for the bottom right square of their group, hence the empty line at the top left corner.
Am I grasping at straws here?
