Ex.: 8, 1, 15, 10, 6, 3, 13, 12, 4, 5, 11, 14, 2, 7, 9, 16
The sums are: 9, 16, 25, 16, ...
In fact I want to know for which numbers N the numbers 1, 2, 3, ..., N has this property.
Maybe the sum not being a square but a cube or k-th power, or maybe arranging in a circle...
Is there any sequence of N's on oeis or something?
