The Paris constant (the name , not the city, see below). 1.0986419643941564857346689173435962108733483961083565505654416338483772464788\ 93852023881297920481791 Paul Zimmermann and Philippe Flajolet (INRIA, France) computed the above decimal expansion. Flajolet used the formula infinity --------' ' | | phi C = | | 2 ------------ | | phi + phi[m] | | m = 2 where phi is the Golden mean and the sequence phi[m], m=1,2,3,... is defined recursively by phi[1] = 1, phi[m] = sqrt(1+phi[m-1]), m=2,3,4,... This gives a stable scheme with geometric convergence with M factors giving an error of about (2 phi)^{-M}. For more information, visit the web= page http://pauillac.inria.fr/algo/bsolve/gold/infrad.html or read the article R. B. Paris, An asymptotic approximation connected with the Golden number, Amer. Math. Monthly 94 (1987) 272-278. ***************************************************************** # This is the electronic signature for Plouffe's Inverter # # Ceci est la signature électronique pour l'Inverseur de Plouffe # # Copyright : Simon Plouffe/Plouffe's Inverter (c) 1986. # # http://www.lacim.uqam.ca/pi #