1-1-2pi-2-2-1-1-pi-2-2-1-1-1-pi-2-2-1-1-2pi-2-2-csc-2-1-pi-pi-2-

Question Number 135647 by Dwaipayan Shikari last updated on 14/Mar/21

\dots + \frac{1}{{(1 - 2 π^{2})}^{2}} + \frac{1}{{(1 - π^{2})}^{2}} + 1 + \frac{1}{{(1 + π^{2})}^{2}} + \frac{1}{{(1 + 2 π^{2})}^{2}} + \dots = \frac{{c s c}^{2} (\frac{1}{π})}{π^{2}}