1 and 2 are the only numbers where taking the factorial doesn't change the number
1! = 1
2! = 1×2 = 2
so you can take the factorial any number of times and leave the number unchanged
thus, 1 and 2 are mathematically the numbers you're allowed to be the most enthusiastic about. 1!!!!!! 2!!!!!!!!!!
@typhlosion now i'm wondring what the fixed points are of the gamma function
-F
@Felthry i knew someone would bring up the gamma function, haha
@Felthry i dont think Γ^n(-2.1) or whatever has the same ring to it as 2!!!!!!! though
Follow
@typhlosion we looked it up and there are infinitely many numbers where Γ(x) = x, but only two positive ones: 1 and 3.5623822... (i am not sure if the latter number has any closed-form representation)
-F
