An Explicit Formula for Sums of Powers of Integers in Terms of Stirling Numbers
Dr Yahia Farés University of Médéa
Faculty of Mathematics
University of Sciences and Technology
P. O. Box 32
In this note we present an explicit formula for the sum of powers of
the first n terms of a general arithmetic sequence in terms of Stirling
numbers. We then provide an algorithm for calculating the sum of
consecutive powers of integers.
Full version: pdf,
Received October 26 2016; revised version received February 24 2017.
Published in Journal of Integer Sequences, February 24 2017.
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