*To*: mathgroup@smc.vnet.net*Subject*: [mg12034] Re: [mg11979] Re: how to compute pi by using continued fraction?*From*: wself@viking.emcmt.edu (Will Self)*Date*: Fri, 24 Apr 1998 01:52:06 -0400

Craig P Earls wrote: >>>>>>>> Here is a continued fraction definition of Pi attributed to Ramanujan that definitely has a pattern: Pi 1 -- = -------------- 4 1 + 1 --------- 3^2 <---The pattern is odd numbers 2+ -------- 5^2 2+ ------- ... <<<<<<<< In fact, that continued fraction expansion is due to Lord Brouncker (1620-1684) who produced it from John Wallis' (1616-1703) original infinite product 4/Pi = 3/2 * 3/4 * 5/4 * 5/6 * 7/6 * 7/8 * 9/8 ... Will Self