Nicomachus theorem
Simply put, you can think of it as calculating the volume of a cube by multiplying a 2-dimensional value by another 2-dimensional value. When generalized,
Faulhaber’s formula
The Nicomachus theorem is a special case of Faulhaber's formula when p=3
Squared triangular number
In number theory, the sum of the first n cubes is the square of the nth triangular number. That is,
https://en.wikipedia.org/wiki/Squared_triangular_number

Seonglae Cho