About: Multifactorial   Sponge Permalink

An Entity of Type : owl:Thing, within Data Space : 134.155.108.49:8890 associated with source dataset(s)

The multifactorial is a generalization of the double factorial, defining: * \(n!! = n \cdot(n - 2) \cdot(n - 4) \cdot(n - 6)\ldots\) * \(n!!! = n \cdot(n - 3) \cdot(n - 6) \cdot(n - 9)\ldots\) * \(n!!!! = n \cdot(n - 4) \cdot(n - 8) \cdot(n - 12)\ldots\) and so forth. For example, 10!!! = 10 · 7 · 4 · 1 = 280. It is important to note that multifactorials should not be interpreted as nested factorials, e.g. \(n!! < (n!)!\) and \(n!!! < ((n!)!)!\). Multifactorials actually grow slower than normal factorials, so much slower than iterated factorials.

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rdfs:label
  • Multifactorial
rdfs:comment
  • The multifactorial is a generalization of the double factorial, defining: * \(n!! = n \cdot(n - 2) \cdot(n - 4) \cdot(n - 6)\ldots\) * \(n!!! = n \cdot(n - 3) \cdot(n - 6) \cdot(n - 9)\ldots\) * \(n!!!! = n \cdot(n - 4) \cdot(n - 8) \cdot(n - 12)\ldots\) and so forth. For example, 10!!! = 10 · 7 · 4 · 1 = 280. It is important to note that multifactorials should not be interpreted as nested factorials, e.g. \(n!! < (n!)!\) and \(n!!! < ((n!)!)!\). Multifactorials actually grow slower than normal factorials, so much slower than iterated factorials.
dcterms:subject
dbkwik:googology/p...iPageUsesTemplate
abstract
  • The multifactorial is a generalization of the double factorial, defining: * \(n!! = n \cdot(n - 2) \cdot(n - 4) \cdot(n - 6)\ldots\) * \(n!!! = n \cdot(n - 3) \cdot(n - 6) \cdot(n - 9)\ldots\) * \(n!!!! = n \cdot(n - 4) \cdot(n - 8) \cdot(n - 12)\ldots\) and so forth. For example, 10!!! = 10 · 7 · 4 · 1 = 280. It is important to note that multifactorials should not be interpreted as nested factorials, e.g. \(n!! < (n!)!\) and \(n!!! < ((n!)!)!\). Multifactorials actually grow slower than normal factorials, so much slower than iterated factorials.
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