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

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.

2 pages