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Problem
Problem
Find the sum of the series
∑
m
=
1
∞
tan
−
1
(
2
m
m
4
+
m
2
+
2
)
\sum_{m=1}^{\infty} \tan^{-1} \left( \frac{2m}{m^4 + m^2 + 2} \right)
m
=
1
∑
∞
tan
−
1
(
m
4
+
m
2
+
2
2
m
)
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