# Sticky Summation (2)

Calculus Level 3

$\large \sum_{n=0}^{\infty}\frac{(-1)^{n}}{(n+2)(4^{n})} = a - 16\ln \left(\frac{b}{a}\right)$

The equation above holds true for positive coprime integers $$a$$ and $$b$$. Find $$a + b$$.

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