A calculus problem by Hummus a

Calculus Level pending

\[ \large \displaystyle\sum _{ n=0 }^{ \infty }{ \frac { 1 }{ \left( \frac { n }{ 2 } \right) ! } } =e(a+\text{ erf }(b))\]

The equation above holds true for positive integers \(a\) and \(b\). Find \(a+b\).

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