1. Place any four numbers you choose in the first row of this array.
2. In the second row, in the first three columns write the difference of the two numbers just above and to the right in the first row (the larger minus the smaller). In the fourth column write the difference of the number above and the one in the first column of that row (again the larger minus the smaller).
3. Repeat for each row, in terms of the numbers in the row just above.
4. Will every choice of four number you begin with eventually lead to rows of zeros?
5. Challenge: Find four begining numbers that let you generate more than 10 rows with non-zero values. More than 20?
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