Solve for A_n
A_{n}=\left(\frac{|n!|}{|\left(n-m\right)!|}\right)^{\frac{Re(m)-iIm(m)}{\left(Re(m)\right)^{2}+\left(Im(m)\right)^{2}}}e^{\frac{Im(m)arg(\frac{n!}{\left(n-m\right)!})+iRe(m)arg(\frac{n!}{\left(n-m\right)!})}{\left(Re(m)\right)^{2}+\left(Im(m)\right)^{2}}-\frac{2\pi n_{1}iRe(m)}{\left(Re(m)\right)^{2}+\left(Im(m)\right)^{2}}-\frac{2\pi n_{1}Im(m)}{\left(Re(m)\right)^{2}+\left(Im(m)\right)^{2}}}
n_{1}\in \mathrm{Z}
\left(n-m\right)!\neq 0
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