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VTRMC 2014 Problem 1

    Find ∑n=2∞n2−2n−4n4+4n2+16\sum_{n=2}^\infty\frac{n^2-2n-4}{n^4+4n^2+16} .

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Virginia Tech Regional Mathematics Contest 2014 official paper, page 1.

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