Problem 2365. Generate this matrix

For a given odd integer n, generate a matrix as follows:

Input: n = 5; Output:

 [  2     1     0     0     0
    1     1     1     0     0
    0     1     0     1     0
    0     0     1     1     1
    0     0     0     1     2  ]

Input: n=7; Output:

 [  3     1     0     0     0     0     0
    1     2     1     0     0     0     0
    0     1     1     1     0     0     0
    0     0     1     0     1     0     0
    0     0     0     1     1     1     0
    0     0     0     0     1     2     1
    0     0     0     0     0     1     3 ]

For further understanding of the pattern, please check the test suite.