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A non-recursive method for the calculation of the sums of powers of integers. (Portuguese) Zbl 0827.40003
Two elementary methods for the calculation of the sum $$S(j,n)= \sum_{k=0}^n k^j$$ are given, using the Vandermonde determinants and the Lagrange polynomials.
MSC:
 40C99 General summability methods 00A35 Methodology of mathematics