[math-fun] a curious formula

Hello, you know probably about this formula : Exp[Pi]-Pi = 19.9990999...? Here is one interesting consequence : Pi = 3 + 1/11- 11^2/34- 23^2/172-... Exp[Pi]= 23 + 1/11- 11^2/34- 23^2/186-... Pi = 3 + 1/11- 11/3- 2/12- 11/6-... Exp[Pi]= 23 + 1/11- 11/3- 2/12- 11/24-... this is one of the gen. continued fraction expansions of these 2 numbers. Simon