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Hyperfactorial

Status: Stable

documented, exercised by the test suite and/or worked examples, with no known limitations recorded.

Description

Hyperfactorial[n]
    gives the hyperfactorial prod_{k=1}^{n} k^k.
Exact (GMP) for a non-negative integer n; other orders stay symbolic. Listable, NumericFunction.

Examples

All examples below are verified against the current Mathilda build.

In[1]:= Hyperfactorial[4]
Out[1]= 27648

Implementation notes

Attributes: Listable, NumericFunction, Protected.

Implementation status

Stable — documented, exercised by the test suite and/or worked examples, with no known limitations recorded.

References