Journal of Integer Sequences, Vol. 28 (2025), Article 25.6.7

A Note on Explicit Formulas for Bernoulli and Genocchi Numbers


Schehrazade Zerroukhat
Laboratory LATN
Faculty of Mathematics
USTHB, Algiers
Algeria

Laala Khaldi
LIM Laboratory
Department of Mathematics
Faculty of Exact Siences
University of Bouira
10000 Bouira
Algeria

Abstract:

In this note, we establish an identity for the Genocchi and Bernoulli numbers in terms of Stirling numbers of the second kind. This formula generalizes some known explicit formulas for these numbers and also allows us to discover new ones.

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(Concerned with sequences A000108 A363448 A363449.)

Received January 10 2025; revised versions received October 30 2025; November 3 2025. Published in Journal of Integer Sequences, November 26 2025.

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