Megafactorial

The megafactorial is a factorial-based function. This function was defined by .
==Definition==
Megafactorial, denoted by \(n‽\), is defined as follows:
*\(n‽ = a_n \times a_{n - 1} \times a_{n - 2} \times ... \times a_3 \times a_2 \times a_1\), where \(n \in \mathbb{N}+\) and \(a_n\) is the nth exponential factorial number.
In hyperfactorial array notation, this is equal to \(n!1 \times (n - 1)!1 \times (n - 2)!1 \times ... \times 3!1 \times 2!1 \times 1!1\).
==Approximations==
The approximations of the first values of the megafactorial are:
*\(1‽ = 1\)
*\(2‽ = 4\)
*\(3‽ = 18\)
*\(4‽ = 4,718,592\)
*\(5‽ \approx 2.92839116808901729906772593950390295109293694710144327004 \times 10^{183237}\)
*\(6‽ \approx 10^{10^{10^{5.262998202542665}}}\)
*\(7‽ \approx 10^{10^{10^{10^{5.262998202542665}}}}\)
== Sources ==
Category:Functions
Category:Factorials
Category:Notations