How to generate this lower triangular matrix?

Given an array of x, how to generate this matrix?

Answer 1

[John D'Errico]

This should work. Assume that x is a column vector.

x = [2 3 5 7 11 13]';

A = bsxfun(@minus,x,x');
A = [ones(size(x)),A(:,1:n-1)];
cumprod(A,2)
ans =
           1           0           0           0           0           0
           1           1           0           0           0           0
           1           3           6           0           0           0
           1           5          20          40           0           0
           1           9          72         432        1728           0
           1          11         110         880        5280       10560

[Stephen23]

+1 Very tidy solution.