Journal of Integer Sequences, Vol. 21 (2018), Article 18.6.1

Poly-Bernoulli Numbers and Eulerian Numbers


Beáta Bényi
Faculty of Water Sciences
National University of Public Service
H-1441 Budapest, P.O. Box 60
Hungary

Péter Hajnal
Bolyai Institute
University of Szeged
H-6720 Szeged, Dugonics square 13
Hungary
and
Alfréd Rényi Institute of Mathematics
Hungarian Academy of Sciences
1245 Budapest, P.O. Box 1000
Hungary

Abstract:

In this note we prove, using combinatorial arguments, some new formulas connecting poly-Bernoulli numbers with negative indices to Eulerian numbers.

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(Concerned with sequences A008277 A008282 A099594.)

Received April 6 2018; revised versions received April 10 2018; July 6 2018. Published in Journal of Integer Sequences, July 11 2018.

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