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Question Number 122996 by Dwaipayan Shikari last updated on 21/Nov/20

$$\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{n}{n^4+1}$$

Commented by Dwaipayan Shikari last updated on 21/Nov/20

$$Ihavefound$$$$\frac{i}{2}(\psi (-\frac{1}{\sqrt{2}}-\frac{1}{\sqrt{2}}i)+\psi ((-\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}i)-\psi (\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}i)-\psi (\frac{1}{\sqrt{2}}-\frac{1}{\sqrt{2}}i))$$

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