Ultrafactorial

Factorials raised to the power of themselves are called ultrafactorials. 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