Search Loci: Convergence:
Sums of Powers of Positive Integers
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On the symmetry of the resulting polynomials
== Conjecture == It would be interesting to know that * sums of odd powers can be factored as a polynomial on (n Ã¢â¹â¦ (n + 1) / 2) and is therefore symmetric with the center at (Ã¢ËâÃÂ½); and that * sums of even powers can be factored to a function like above multiplied by (2 Ã¢â¹â¦ n + 1) and therefore antisymmetric with the center at (Ã¢ËâÃÂ½). It would be interesting to know whether any rule concerning the polynomials thus obtained.
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