Geodesic
An explicit formula for sums of powers of integers in terms of Stirling numbers
Journal of integer sequences, Tome 20 (2017) no. 4
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.
Classification : 11B73, 11B37
Keywords: algorithm, explicit formula, Stirling number, sums of powers of integers 
@article{JIS_2017__20_4_a3,
     author = {Laissaoui,  Diffalah and Rahmani,  Mourad},
     title = {An explicit formula for sums of powers of integers in terms of {Stirling} numbers},
     journal = {Journal of integer sequences},
     year = {2017},
     volume = {20},
     number = {4},
     zbl = {1357.11027},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a3/}
}
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Laissaoui,  Diffalah; Rahmani,  Mourad. An explicit formula for sums of powers of integers in terms of Stirling numbers. Journal of integer sequences, Tome 20 (2017) no. 4. http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a3/