MATLAB: Usage of cumprod function to write the code

cumprod

To create a vector t, where
t = [1   u/1!  u(u-1)/2!  u(u-1)(u-2)/3! ... (u(u-1)..(u-(n-2)))/(n-1)!
I wrote the following code as
t(1)=1;
for i=2:n
    t(i)=t(i-1)*(u-(i-2))/(i-1)
end
Is it possible to create the above vector using 'cumprod' function

Best Answer

cumprod([1, u-(0:n-2)]) ./ factorial(0:n-1)
edit: actually you can replace the factorial by another cumprod which should be faster:
cumprod([1, u-(0:n-2)]) ./ cumprod([1, 1:n-1])
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