Programming Exercise (HP-15C, 15C LE - and others)

[Thomas Klemm]

(04-15-2014 04:41 PM)Gerson W. Barbosa Wrote:  Isn't this the same method used by Valentin in his original problem, only in continued fraction format?

It appears to be the same but I was just curious how Euler's transformation is related to your continued fraction.

Quote:Here is a similar formula for π/4:

\[\frac{\pi }{4}= 1-\frac{1}{3}+\frac{1}{5}-\frac{1}{7}+\cdots +\frac{1}{2n-3}-\frac{1}{2n-1}+\frac{1}{4n+\frac{1^{2}}{n+\frac{2^{2}}{4n+\frac{3^{2}}{n+\frac{4^{2}}{4n+...​ }}}}}\]

Very nice! Thanks for being so persistent.

Cheers
Thomas