Let $a_n=\int_{-1}^n\left(1+\frac{x}{2}+\frac{x^2}{3}+\ldots . .+\frac{x^{n-1}}{n}\right) d x$ for every $n \in N$. Then the sum of all the elements of the set $\left\{n \in N: a_n \in\right.$
$(2,30)\}$ is $\_\_\_\_$ .
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