This is restating Stirling's approximation, which has been known for three centuries (1730, de Moivre 1721). https://en.wikipedia.org/wiki/Stirling%27s_approximation
Stirling’s approximation is mentioned in the article.
How big are factorials?
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Re: How big are factorials?
#42This is restating Stirling's approximation, which has been known for three centuries (1730, de Moivre 1721). https://en.wikipedia.org/wiki/Stirling%27s_approximation
Stirling’s approximation is mentioned in the article.
I know that, that was my point. I'm saying I don't see much point in restating it without adding something; it's been known for 300 years.
Re: How big are factorials?
#43This reminded me of tetration and Knuth's up-arrow notation. It's basically repeated exponentiation.
Searching now, I just learned of tetrofactorial, which is a factorial using tetration operations. There's also pentation which is repeated tetration.
And there's a whole wiki for it here: googology.fandom.com
It's fun because the numbers are so big it's basically infinity but any of those numbers is still nothing compared to infinity.