User blog:Dhacorrea/Greek factorials: an extension to superfactorials

Thinking about superfactorials, especially related to that defined by Pickover, I thought why not try an extension to such functions?

As we know, Pickover superfactorial is defined as \(n\$=\underbrace{n!^{n!^{n!^{.^{.^{.^{.}}}}}}}_{n!}\)