| 0 0 1 0 0| | 0 1 0 1 0| | 1 0 2 0 1| | 1 3 0 3 1| | 4 1 6 1 4| | 5 10 2 10 5| |15 7 20 7 15| |22 35 14 35 22| ...Once you've figured out how to keep adding rows, prove the following:

The absolute difference between the numbers on any two (non equal) columns is the Fibonacci sequence.