User:ELLIOTTCABLE/MisterBignum


 * $$ E(2) = 2^{2^{2^2}} = 65536 $$


 * $$ E(3) = 3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^{3^3}}}}}}}}}}}}}}}}}}}}}}}}}} = ???$$



\begin{matrix} & E(n) & = & \underbrace{n^{n^{{}^{.\,^{.\,^{.\,^n}}}}}} & = & {\ ^{n^n}n} \\   & & & n^n\mbox{ copies of }n \end{matrix} $$