An Extended Version of Faulhaber's Formula
Department of Mathematics
This paper presents an extended version of the well-known Faulhaber
formula, which is used to compute the sum of the m-th powers of
the first n natural numbers, where m and n are two
natural numbers. Our expression is analogous to Faulhaber's formula, but
sums the m-th powers of the natural numbers x for any
non-negative real number x.
Full version: pdf,
(Concerned with sequences
Received November 7 2015; revised versions received November 9 2015; March 19 2016.
Published in Journal of Integer Sequences, April 7 2016.
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