# Exponential And Polynomials In One Sum?

Algebra Level 5

$\large \displaystyle \sum_{n = 2}^{\infty} \dfrac{n^4 + 3n^2 + 10n + 10}{2^{n} (n^4 + 4)} = \dfrac ab$

The above equation is true for some coprime positive integers $$a$$ and $$b$$. Find $$a + b$$?

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