Sums of powers via integration

Details Sums of powers via integration Sums of powers via integration

2009-03-25

arxiv.org/abs/0903.4358v1

Computer Science

Discrete Mathematics

4 pages

Scientific paper

Sum of powers 1^p+...+n^p, with n and p being natural numbers and n>=1, can
be expressed as a polynomial function of n of degree p+1. Such representations
are often called Faulhaber formulae. A simple recursive algorithm for computing
coefficients of Faulhaber formulae is presented. The correctness of the
algorithm is proved by giving a recurrence relation on Faulhaber formulae.

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