Inspired by Ikkyu San

Calculus Level 5

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

The summation above can be expressed as \(\sqrt { \pi } +{ e }^{ a }\left( \text{erf}\left( b \right) +c \right) \).

Find \(a+b+c\).

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