Calculus Level 4

If,

$\sum _{ n=0 }^{ \infty }{ \frac { { \left( -\frac { { \pi }^{ 2 } }{ 4 } \right) }^{ n } }{ \left( 2n+1 \right) ! } } ={ \left( \frac { A }{ \pi } \right) }^{ B }$

for integers $$A$$ and $$B$$, find the value of $$A+B$$.

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