Geodesic
An explicit formula for sums of powers of integers in terms of Stirling numbers
Journal of integer sequences, Tome 20 (2017) no. 4.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     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},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {2017},
     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/