ASCII value gets you out of trouble

Level 3

Evaluate

a=0b=0c=0ad=0be=0d(n+aa)(bede)(ac)(be)(1)b+cnecde\sum_{a=0}^\infty \sum_{b=0}^\infty \sum_{c=0}^a \sum_{d=0}^b \sum_{e=0}^d {n+a \choose a} {b-e \choose d-e} {a \choose c} {b \choose e} (-1)^{b+c} n^e c^{d-e}

Now before you enter your final answer -

If your final answer is a rational number and is in the form pq\frac{p}{q} where pp and qq are coprime to each other then your final answer should be pπq\frac{p\pi}{q}.

Otherwise If your final answer is an irrational number then your final answer should be 9999

It is an entry in the Troll King Contest.

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