Geodesic
A note on a theorem of Schumacher
Journal of integer sequences, Tome 19 (2016) no. 8
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.
Classification : 11B68, 33B10, 05A15, 05A19
Keywords: zeon algebra, Berezin integration, Bernoulli number, generating function, faulhaber's formula 
@article{JIS_2016__19_8_a2,
     author = {Neto,  Ant\^onio Francisco},
     title = {A note on a theorem of {Schumacher}},
     journal = {Journal of integer sequences},
     year = {2016},
     volume = {19},
     number = {8},
     zbl = {1353.11039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a2/}
}
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Neto,  Antônio Francisco. A note on a theorem of Schumacher. Journal of integer sequences, Tome 19 (2016) no. 8. http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a2/