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The most concise recurrence formula for the sums of integer powers

Year: 2025
Type: article
Abstract: For integers n, , let Sk (n) denote the power sum 1k + 2k +… + nk, with S0 (n) = n. As is well known, Sk (n) can be represented by a polynomial in n of degree k + 1 with constant term equal to zero, i.e. has degree k + 1, as it should be.
Language: English
Open Access status: green
OpenAlex ID: W4411497719
FWCI:
Cites: 9
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Related to: 10