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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Exponential factorial ： ウィキペディア英語版 Exponential factorial An exponential factorial is a positive integer ''n'' raised to the power of ''n'' − 1, which in turn is raised to the power of ''n'' − 2, and so on and so forth, that is, : $n^\}.\backslash ,$ The first few exponential factorials are 1, 1, 2, 9, 262144, etc. . So, for example, 262144 is an exponential factorial since : $262144\; =\; 4^.\backslash ,$ The exponential factorials grow much more quickly than regular factorials or even hyperfactorials. The exponential factorial of 5 is 5262144 which is approximately 6.206069878660874 × 10183230. The sum of the reciprocals of the exponential factorials from 1 onwards is the transcendental number 1.6111149258083767361111... . Like tetration, there is currently no accepted method of extension of the exponential factorial function to real and complex values of its argument, unlike the factorial function, for which such an extension is provided by the gamma function. ==References== *Jonathan Sondow, "(Exponential Factorial )" From Mathworld, a Wolfram Web resource 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Exponential factorial」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.