Definition:Göbel's Sequence/General

Definition
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}$

Also known as
Göbel's sequence can also be seen rendered as Goebel's sequence.