\begin{definition}[Definition:Göbel's Sequence/General/Examples/3]
The '''$3$-Göbel sequence''' begins:
:$1, 2, 5, 45, 22 \, 815, 2 \, 375 \, 152 \, 056 \, 927, \ldots$
{{OEIS|A005166}}
\end{definition}