It depends. There are generalized continued fractions where it's very easy, like π = 3 + 1^2 / (6 + 3^2 / (6 + 5^2 / (6 + 7^2 ( 6 + ... ) ) ) ) Nobody knows a spigot-like algorithm for the simple continued fraction of pi. On Fri, Mar 15, 2019 at 1:25 PM Dan Asimov <dasimov@earthlink.net> wrote:
What might be interesting would be to see kajillions of "digits" of the continued fraction expansion (CFE) of π. At least, that's independent of how many fingers we have.
Are there good algorithms for calculating a high "digit" of the CFE of π without knowing the previous ones?
—Dan
Simon Plouffe schrieb: ----- Pi has been calculated to 31.4 trillion digits : http://www.numberworld.org/blogs/2019_3_14_pi_record/
they used the Chudnovsky formula, the Bellard formula and mine just to be certain. -----
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
-- Mike Stay - metaweta@gmail.com http://math.ucr.edu/~mike https://reperiendi.wordpress.com