\begin{definition}[Definition:Göbel's Sequence/General]
Let $m \in \Z_{> 0}$ be a positive integer
The '''$m$-Göbel sequence''' is the sequence defined recursively as:
:$x_n = \begin {cases}
1 & : n = 0 \\
\ds \paren {1 + \sum_{k \mathop = 0}^{n - 1} {x_k}^m} / n & : n > 0 \end {cases}$
\end{definition}