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Calculus Level 4

n=0(π24)n(2n+1)!=(Aπ)B\sum _{ n=0 }^{ \infty }{ \frac { { \left( -\frac { { \pi }^{ 2 } }{ 4 } \right) }^{ n } }{ \left( 2n+1 \right) ! } } ={ \left( \frac { A }{ \pi } \right) }^{ B }

If the equation above holds true for integers AA and BB, find the value of A+BA+B.

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