[VA] SRC #010 - Pi Day 2022 Special

[Gerson W. Barbosa]

(03-17-2022 06:22 PM)Albert Chan Wrote:  Continued fraction with taylor series (n=inf) that matches above coefs:

\(\Large
1 + \frac{1}{(2n + {1 \over 2}) \;
- \frac{1}{{36 \over 17}*(2n+1) \;
+ \frac{1}{{1445 \over 419}*(2n+1)}}}\)

The following corrects the result to 3.1415926535 for n=500:

1+1/(2n+1/(2+1/(n+17/(18n+1/2))))

Too few terms to deduce a pattern if any, though.