# Strange sum

Calculus Level 3

If

$\frac{ 1 }{ 1^2 + 4 } + \frac{ 1}{2^2 + 8 } + \frac{ 1 }{ 3^2 + 12 } + \ldots = \frac { p}{q},$

where $$p$$ and $$q$$ are coprime positive integers, what is $$p + q$$?

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