Source: wikibot/superfactorial
= Superfactorial
{wiki=Superfactorial}
The term "superfactorial" is used to refer to an extension of the factorial function, similar to how tetration is an extension of exponentiation. The superfactorial of a positive integer \\( n \\) is denoted as \\( \\text\{sf\}(n) \\) and is defined as the product of the factorials of all positive integers up to \\( n \\). Mathematically, it is defined as: \\\[ \\text\{sf\}(n) = 1!