Series Demystified 4

Algebra Level 4

n=148(n1)!(n3n1)nn2(n+1)+n(n+1)2 \large \sum_{n=1}^{48} \frac {(n-1)!(n^3-n-1)}{n\sqrt{n^2(n+1)}+\sqrt{ n(n+1)^2}}

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

This is one of my original Series Demystified problems.
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