Key points are not available for this paper at this time.
We study the divisibility of the sums of the odd power of consecutive integers, S (m, k) =1^mk+2^mk++k^mk and 1ᵏ+2ᵏ++nᵏ for odd integers m and k, by using the Girard–Waring identity. Faulhaber's approach for the divisibilities is discussed. Some expressions of power sums in terms of Stirling numbers of the second kind are represented.
He et al. (Tue,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: