Matrices and the Pacal Triangle

Create a matrix from the first n rows of the Pascal Triangle like

1 0 0 0
1 1 0 0
1 2 1 0
1 3 3 1

Then the inverse of this matrix is...

1 0 0 0
-1 1 0 0
1 -2 1 0
-1 3 -3 1