A Note on a Theorem of Schumacher
Antônio Francisco Neto
DEPRO, Escola de Minas
Campus Morro do Cruzeiro, UFOP
35400-000 Ouro Preto MG
Brazil
Abstract:
In this paper, we give a short new proof of a recent result due to
Schumacher concerning an extension of Faulhaber's identity for the
Bernoulli numbers. Our approach follows from basic manipulations
involving the ordinary generating function for the Bernoulli
polynomials in the context of the Zeon algebra.
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(Concerned with sequences
A027641
A027642.)
Received June 19 2016; revised version received October 1 2016.
Published in Journal of Integer Sequences, October 10 2016.
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