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Fibonacci appears again (Posted on 2015-08-21) Difficulty: 3 of 5
| 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.

See The Solution Submitted by Jer    
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