Pascal matrix

A Pascal matrix, named after the French mathematician Blaise Pascal, is a specific type of matrix that is defined using binomial coefficients. An \(n \times n\) Pascal matrix \(P_n\) is defined as follows: \[ P_n[i, j] = \binom{i + j}{j} \] for \(i, j = 0, 1, 2, \ldots, n-1\).