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Product[(Sum[a[k], {k, i, j - 1}] + j - i)/(j - i), {j, 1, n}, {i, 1,
j - 1}]
Product[Sum[a[k], {k, 1, j}] + j - 1, {l, 1, n - 1}, {j, l, n - 1}]/
Product[i!, {i, 1, n - 1}]
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