Happy birthday George Boole

Calculus Level pending

Compute upto 4 decimal places:-

\[\large{\sum _{ n=2 }^{ \infty }{ \left( \frac { 1 }{ \left( \frac { { n }^{ 2 } }{ n-1 } \right) ! } \right) } }\]

On 2nd November 2015 George Boole's 200th birthday was celebrated

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