Sum is perfect
We placed the integers from to in a line, such that the sum of any consecutive numbers is a perfect square. Which number is placed in the middle?
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1 solution
8, 1, 15, 10, 6, 3, 13, 12, 4, 5, 11, 14, 2, 7, 9
It was logical that 13 and 12 would be close to the centre but not sure of the mathematical reasoning. You can also extend this sequence to add 16 after the 9 (equals 25) and 17 before the 8 (also equals 25). Doesn't work for this solution for 18 - so not sure if this can be continued