How to produce square matrix in this form

How can I form a square matrix in this form regardless of its dimension. Note that the pattern; 1 will form after three 0 from the centre.

Answer 1

[Stephan]

k = 2; % define how often to repeat the pattern
result = toeplitz([5 repmat([1 0 0 0],1,k)])

gives:

result =

     5     1     0     0     0     1     0     0     0
     1     5     1     0     0     0     1     0     0
     0     1     5     1     0     0     0     1     0
     0     0     1     5     1     0     0     0     1
     0     0     0     1     5     1     0     0     0
     1     0     0     0     1     5     1     0     0
     0     1     0     0     0     1     5     1     0
     0     0     1     0     0     0     1     5     1
     0     0     0     1     0     0     0     1     5

[Mohammad Ezzad Hamdan]

Thank you!!!