Oops , sorry, mistake:
3^^3 = (3^(3^3))= 3^27 = 7,6256E+12
That makes 3^^^3 even more enormous.
Alexis
--- In [email protected], "prokofiev2006"
<alexis.monnerotdumaine@...> wrote:
3^^3 = (3^(3^3))= 3^27 = 7,6256E+12
That makes 3^^^3 even more enormous.
Alexis
--- In [email protected], "prokofiev2006"
<alexis.monnerotdumaine@...> wrote:
>in
> Talking about that, what do you think about this incredibly fast
> growing sequence ? :
> 0
> 1^1
> 2^^2
> 3^^^3
> 4^^^^4
> where "^" is not the usual power, but the arrow of Knut.
> The notation of Knut is defined this way:
> a^^^n = a^^(a^^(a^^�&a)) where a appears n times
>
> It then goes this way:
> 0 = 0
> 1^1 = 1
> 2^^2 = 2^2 = 4
> 3^^^3 = 3^^(3^^3) = 3^^X = 3^(3^(3^�&3)), where "3" appears 19683
> times, (because 3^^3 = 19683).
> A giant cookie for the one who can calculate how many figures are
> this number.another
>
> Alexis
>
> PS : For those who are not afraid about heights, I can show
> even more nauseus sequence based on another notation : thenotation
> of Conway.
> PS'': we are quite far from LT, here J
>
>