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Question: How to do summation with a matrix as coefficient in case n in maple

Question:How to do summation with a matrix as coefficient in case n in maple

ComputerUser 535 Maple
matrix
May 25 2013
0

have a matrix An = [alpha(i,j)]
alpha(i,j) = (j-i+1)*(j-1)!/(i-1)!*a(j-i+1)*x    for j-i >= 0, j - i even

                   0, j-i >= 0, j-i odd,           

                   -1, i-j = 1,             

                    0, otherwise


need to do Summation(det(An)*z^n/n!, n=0..infinity);
is it possible to do in Maple?
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