My previous post was written with the help of a few very useful tools:
Archive for March, 2016
The set of numbers can be partitioned into two subsets of the same size, such that the two sets have equal sums, sums of squares, sums of cubes, …, up to sums of th powers.
For example, for :
can be partitioned as
Amazingly, this can be done for any non-negative integer .