How to fast create a specific matrix

I want to generate a matrix with the same pattern but different size.
pattern: for a matrix with size [4 4]
[ 0 0 0 0;
0 0 0 1;
0 0 1 2;
0 1 2 3]
The matrix is always square. The size is often more than 256 in practice. I can generate this kind of matrix using for-loop. But it's too slow.
How to fast create this kind of matrix?

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