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
computer solution by Charlie)
I found smaller triangles using 13, 16 and 110 by hand
1 3
2
1 6 4
5 2
3
8 3 10 9
5 7 1
2 6
4
I was not able to find the 115 by hand. Your first row is 6 14 15 3 13. There may be some patterns arising.
Would you find altering your program and trying to find higher order triangles?

Posted by Jer
on 20160203 11:14:00 