Series Demystified 7

Algebra Level 5

n=148(n33n1)(n+1)! \large \sum_{n=1}^{48} \frac {(n^3-3n-1)}{(n+1)!}

If the summation above equals to SS, find the value of (49!×S) (49!\times S) .

This is one of my original Series Demystified problems.
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