You snuck in while I was composing! Beat me by 2 mins.
--- In [email protected], "prokofiev2006"
<alexis.monnerotdumaine@...> wrote:
--- In [email protected], "prokofiev2006"
<alexis.monnerotdumaine@...> wrote:
>
> 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:
> >
> > 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
> in
> > this number.
> >
> > Alexis
> >
> > PS : For those who are not afraid about heights, I can show
> another
> > even more nauseus sequence based on another notation : the
> notation
> > of Conway.
> > PS'': we are quite far from LT, here J
> >
> >
>