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arXiv · 2503.14508

A remark on an explicit formula for the sums of powers of integers

José L. Cereceda
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Abstract

Recently, E. Samsonadze (arXiv:2411.11859v1) has given an explicit formula for the sums of powers of integers $S_k(n) = 1^k +2^k +\cdots + n^k$. In this short note, we show that Samsonadze's formula corresponds to a well-known formula for $S_k(n)$ involving the Stirling numbers of the second kind.

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José L. Cereceda. 2025-03-05. A remark on an explicit formula for the sums of powers of integers. https://arxiv.org/abs/2503.14508

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