# Series Demystified 3

Algebra Level 4

$\large \sum_{n=1}^{48} \left [ \frac {n!(n^2+n-1)}{n\sqrt{n+1}+\sqrt n}\right]$

If the summation above equals to $$S$$, find the value of $$\frac{S+1}{48!}$$.

###### This is one of my original Series Demystified problems.
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