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\iteman{io-port 05280748}
\itemau{Herrmann, Sven}
\itemti{Genocchi numbers and $f$-vectors of simplicial balls.}
\itemso{Eur. J. Comb. 29, No. 5, 1087-1091 (2008).}
\itemab
Summary: The Genocchi numbers $G_n$, $n\geq 0$ are the coefficients of the generating function $\frac {2t}{e^t +1}$. In this note we give an equation for simplicial balls which involves these numbers. It relates the number of faces in the interior of the ball to the number of faces in the boundary of the ball. This is a variation of similar equations given in [{\it P. McMullen}, Beitr. Algebra Geom. 45, No. 1, 37--46 (2004; Zbl 1081.52011); the author and {\it M. Joswig}, Contrib. Discrete Math. 2, No. 2, 161--184, electronic only (2007; Zbl 1204.52013), see also \url{arXiv:math.MG/0605401}].
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\itemli{doi:10.1016/j.ejc.2007.09.001}
\end