Arrange the numbers from 1 to 15 in such an order that any two consecutive numbers in the sequence add up to a perfect square.
Below is a sequence, and below that is the sums between each number:
08 01 15 10 06 03 13 12 04 05 11 14 02 07 09
_09 16 25 16 09 16 25 16 09 16 25 16 09 16
Notice how every second sum is 16... That is how I started...