1-pie-3-2pi-2-e-2-11-6pi-3-e-3-25-12pi-4-e-4-137-60pi-5-e-5-log-pi-1-log-pie-1-pie-1-

Question Number 134657 by Dwaipayan Shikari last updated on 06/Mar/21

\frac{1}{π e} + \frac{3}{2 π^{2} e^{2}} + \frac{11}{6 π^{3} e^{3}} + \frac{25}{12 π^{4} e^{4}} + \frac{137}{60 π^{5} e^{5}} + \dots = \frac{l o g (π) + 1 - l o g (π e - 1)}{π e - 1}