Computation of Catalan's constant using Ramanujan's formula

摘要

We have used some formulas due to Ramanujan for the multiple precision computation of Catalan's constant C = 0.915 ··· . The algorithm has been implemented in Maple and C has been computed to 20,000 decimal places. The resulting program is very simple yet efficient. It computes N digits of C in &Ogr;(N2) time and &Ogr;(N) space.