J. Cereceda

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math.GM2025

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

JosÃ© L. Cereceda

Recently, E. Samsonadze (arXiv:2411.11859v1) has given an explicit formula for the sums of powers of integers $S_{k} (n) = 1^{k} + 2^{k} + \dots + n^{k}$ . In this short note, we show that Sa…

math.GM2025

Sums of powers of integers and the sequence A304330

For integer $k \geq 1$ , let $S_{k} (n)$ denote the sum of the $k$ th powers of the first $n$ positive integers. In this paper, we derive a new formula expressing $2^{2 k}$ times $S_{2k}…