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authorGloria Mundi <gloria@gloria-mundi.eu>2026-03-19 10:04:19 +0100
committerGloria Mundi <gloria@gloria-mundi.eu>2026-03-19 10:04:19 +0100
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@@ -438,7 +438,7 @@ $1,~1,~2,~5,~14,~42,~132,~429,~1430,~4862,~16796,~58786,~208012,~742900$
\item Anzahl an Klammerausdrücken mit $n+k$ Klammerpaaren, die mit $\texttt{(}^k$ beginnen.
\end{itemize}
\[C^k_0 = 1\qquad C^k_n = \sum\limits_{\mathclap{a_0+a_1+\dots+a_k=n}} C_{a_0}C_{a_1}\cdots C_{a_k} =
-\frac{k+1}{n+k+1}\binom{2n+k}{n} = \frac{(2n+k-1)(2n+k)}{n(n+k+1)} C_{n-1}\]
+\frac{k+1}{n+k+1}\binom{2n+k}{n} = \frac{(2n+k-1)(2n+k)}{n(n+k+1)} \cdot C^k_{n-1}\]
\paragraph{\textsc{Euler}-Zahlen:}
$|~1~|~1~|~1,~1~|~1,~4,~1~|~1,~11,~11,~1~|~1,~26,~66,~26,~1~|$