Pi, Euler Numbers, and Asymptotic Expansions
1989; Taylor & Francis; Volume: 96; Issue: 8 Linguagem: Inglês
10.2307/2324715
ISSN1930-0972
AutoresJonathan M. Borwein, Peter Borwein, Karl Dilcher,
Tópico(s)Analytic Number Theory Research
ResumoGregory’s series for π, truncated at 500,000 terms, gives to forty places $$4\sum\limits_{k = 1}^{500.000} {\frac{{{{\left( { - 1} \right)}^{k - 1}}}}{{2k - 1}}} = 3.141590653589793240462643383269502884197$$
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