The Golden Mean or Ratio[(1+sqrt(5))/2] by Unknown
page 10 of 123 (08%)
page 10 of 123 (08%)
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To do the same on your machine just type this. > catalan := evalf(Catalan,50100): bytes used=37569782748, alloc=5372968, time=38078.95 here are the 50000 digits (1000 lines of 50 digits each). it comes from formula 34.1 of page 293 of Ramanujan Notebooks,part I, the series used is by putting x--> -1/2 . in other words the formula used is : the ordinary formula for Catalan sum((-1)**(n+1)/(2*n+1)**2,n=0..infinity) and then you apply the Euler Transform to it : ref : Abramowitz & Stegun page , page 16. the article of Greg Fee that took those formulas appear in Computation of Catalan's constant using Ramanujan's Formula, by Greg Fee, ACM 1990, Proceedings of the ISAAC conference, 1990 (MAYBE 1989), held in Tokyo. catalan := 0. 91596559417721901505460351493238411077414937428167 |
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