# Summation

Algebra Level 4

$\dfrac{2}{1^{4} + 1^{2} + 1} + \dfrac{40}{2^{4} + 2^{2} + 1} + \dfrac{270}{3^{4} + 3^{2} + 1} + \dfrac{1088}{4^{4} + 4^{2} + 1} +...$

(up to $$20$$ terms) equals to $$\frac{A}{B}$$, for $$\displaystyle A, B$$ are coprime integers.

Find $$A + B$$.

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