For $k \in N$, let $\frac{1}{\alpha(\alpha+1)(\alpha+2) \ldots .(\alpha+20)}=\sum_{K=0}^{20} \frac{A_k}{\alpha+k}$, where $\alpha>0$. Then the value of $100\left(\frac{A_{14}+A_{15}}{A_{13}}\right)^2$ is equal to $\_\_\_\_$ .
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