# Who's up to the challenge? 38

Calculus Level 5

$\large \displaystyle\sum _{ n=1 }^{ \infty }{ \dfrac { { H }_{ n }-\ln { n } -\gamma }{ n } } =-\dfrac { { \gamma }^{ t } }{ a } -h{ \gamma }_{ i }+\dfrac { { \pi }^{ n } }{ { i }_{ 1 } }$

The equation above holds true for positive integers $$t,a,h,i, n$$ and $$i_1$$. Find $$t+a+h+i+n+i_1$$.

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