// https://en.wikipedia.org/wiki/Triangular_number
pub fn square_of_sum(n: u32) -> u32 {
	(n * (n + 1) / 2).pow(2)
}

// https://en.wikipedia.org/wiki/Square_pyramidal_number
pub fn sum_of_squares(n: u32) -> u32 {
	n * (n + 1) * (2 * n + 1) / 6
}

pub fn difference(n: u32) -> u32 {
	square_of_sum(n) - sum_of_squares(n)
}