hyperfactorial

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English

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Wikipedia

Etymology

From hyper- +‎ factorial.

Pronunciation

  • IPA(key): /ˌhaɪpə(ɹ)fækˈtɔːɹi.əl/
  • Audio (Southern England):(file)

Noun

hyperfactorial (plural hyperfactorials)

  1. (mathematics) The result of multiplying a given number of consecutive integers from 1 to the given number, each raised to its own power.
    For example, the hyperfactorial of 3 is 11 * 22 * 33 = 1 * 4 * 27 = 108

Usage notes

The concept can be extended to the (real and) complex numbers and is then called the K-function.