Centered cube number

A centered cube number is a specific type of figurate number that represents a three-dimensional cube with a center cube and additional layers of smaller cubes surrounding it. Specifically, the \( n \)-th centered cube number can be calculated using the formula: \[ C_n = n^3 + (n-1)^3 \] where \( C_n \) represents the \( n \)-th centered cube number and \( n \) is a positive integer.