MATLAB: Matrix with Bell Triangle

MATLABmatrix manipulation

I need to reshape a portion of a matrix computed with the values of a bell triangle where n is the number of rows of a matrix. How can I generate a matrix contain the bell values? I mean, as an example, for n= 4 but could be any value:
                    1
                 1     2
              2     3     5
           5     7    10    15
empty space with 0.

Best Answer

Simple. Just use loops.
n = 5;
BellTri = zeros(n);
BellTri(1,1) = 1;
for i = 2:n
  BellTri(i,1) = BellTri(i-1,i-1);
  for j = 2:i
    BellTri(i,j) = BellTri(i - 1,j-1) + BellTri(i,j-1);
  end
end
BellTri
BellTri =
     1     0     0     0     0
     1     2     0     0     0
     2     3     5     0     0
     5     7    10    15     0
    15    20    27    37    52
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