OFFSET
1,1
LINKS
Harry J. Smith, Table of n, a(n) for n = 1..20000
Adam P. Goucher, Exotic continued fractions, 2013.
FORMULA
Equals (5+sqrt(163/27))^(1/3) + (5-sqrt(163/27))^(1/3).
EXAMPLE
3.31862821775018565910968015331802246772191980883690026022809199584019...
MATHEMATICA
RealDigits[x /. FindRoot[x^3 - 8*x - 10, {x, 3}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, Jun 11 2023 *)
PROG
(PARI) default(realprecision, 20080); x=NULL; p=x^3 - 8*x - 10; rs=polroots(p); r=real(rs[1]); for (n=1, 20000, d=floor(r); r=(r-d)*10; write("b160332.txt", n, " ", d));
(PARI) sqrtn(5+sqrt(163/27), 3) + sqrtn(5-sqrt(163/27), 3); \\ Michel Marcus, Sep 06 2013
(PARI) polrootsreal(x^3-8*x-10)[1] \\ Charles R Greathouse IV, Apr 14 2014
CROSSREFS
KEYWORD
AUTHOR
Harry J. Smith, May 11 2009
STATUS
approved