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Waring Formula

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A^n+B^n=sum_(j=0)^(|_n/2_|)(-1)^jn/(n-j)(n-j; j)(AB)^j(A+B)^(n-2j),

where |_x_| is the floor function and (n; k) is a binomial coefficient.

See also

Binomial Number, Binomial Sums, Fermat's Last Theorem

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Cite this as:

Weisstein, Eric W. "Waring Formula." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/WaringFormula.html

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