FactorialsMathworldPlanetmath raised to the power of themselves are called ultrafactorialsMathworldPlanetmath. The first few ultrafactorials are 1, 1, 4, 46656 … (Sequence A046882 of OEIS). According to the website cnki.com, functions like ultrafactorial and duplicate exponents are used to rectify the systematic errors in increasing load forecasting by linear regression. Hence they are helpful in forecasting annual electricity. Similarly ultraprimorials can also be defined as primorials raised to the power of themselves. The first few ultraprimorials 1, 4, 46656, … (Sequence A165812 of OEIS).

Title Ultrafactorial
Canonical name Ultrafactorial
Date of creation 2013-03-22 19:20:49
Last modified on 2013-03-22 19:20:49
Owner Kausthub (26471)
Last modified by Kausthub (26471)
Numerical id 4
Author Kausthub (26471)
Entry type Definition
Classification msc 11A41