# An Old Algorithm for the Sums of Integer Powers

by David M. Bloom (Brooklyn College of CUNY)

This article originally appeared in:
Mathematics Magazine
December, 1993

Subject classification(s): Discrete Mathematics | Algorithms
Applicable Course(s): 3.7 Discrete Math

An algorithm to obtain $P_k(n) = 1 + 2^k + \ldots + n^k$ once $P_k(n - 1)$ is known

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