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An Explicit Formula for Sums of Powers of Integers in Terms of Stirling Numbers
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Diffalah Laissaoui

Dr Yahia Farés University of Médéa

26000 Médéa

Algeria

Mourad Rahmani

Faculty of Mathematics

University of Sciences and Technology

Houari Boumediene

P. O. Box 32

El Alia

Bab Ezzouar

16111 Algiers

Algeria

**Abstract:**

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.

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Received October 26 2016; revised version received February 24 2017.
Published in *Journal of Integer Sequences*, February 24 2017.

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