Arrange integers 1 15 in a triangle such that the upper row consists of 5 integers, all other rows represent each the absolute values of the differences between the adjacent members of the row above so that the 5th row contains one number only.
A bad example:
4 7 15 10 2
3 12 5 8
9 7 * oops! Can't use 3 again.
Just wanted to explain the buildup..
Better luck to the solvers!
(In reply to
re(5): computer solution by Charlie)
A shorter proof just for n=6 is found in Martin Gardner's book Penrose Tiles to Trapdoor Ciphers:

Posted by Charlie
on 20160204 11:25:27 