Abstract

Becently there has been published by J. A. Pierce (1) a very interesting paper concerning some new formulae of the sum of powers, in which he refers to a paper of Boss (2) who presented formulae for the first six powers of the first n natural numbers and of the first n odd natural numbers. Niessen (3) presented some more formulae based on the calculus of finite differences. Assuming that n and i are positive and whole numbers, so that

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