Category:Definitions/Göbel's Sequence

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This category contains definitions related to Göbel's Sequence.
Related results can be found in Category:Göbel's Sequence.


Göbel's 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}^2} / n & : n > 0 \end {cases}$