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

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


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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