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For the first two patterns (the ones with the side lengths increasing equally) the differences for the nth sequences are:
0, 8, 24, 48... so the pattern is 4(n-1)^2+4(n-1)= 4n^2-4n
For the next two patterns (The crooked one) the differences are:
0, 4, 12, 24... so the pattern is 2(n-1)^2+2(n-1)= 2n^2-2n
From this, we learn that the differences of the first pattern is double the second pattern