Journal of Integer Sequences, Vol. 24 (2021), Article 21.7.6

Combinatorial Proof of an Identity on Genocchi Numbers


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

Matthieu Josuat-Vergès
CNRS, IRIF (UMR 8243)
Université de Paris
France

Abstract:

In this note we present a combinatorial proof of an identity involving poly-Bernoulli numbers and Genocchi numbers. We introduce combinatorial objects called m-barred Callan sequences and use them to show that the identity holds in a more general manner.

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(Concerned with sequences A036968 A099594 A136126 A272644.)

Received January 5 2021; revised versions received May 26 2021; July 17 2021. Published in Journal of Integer Sequences, July 18 2021.

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