OFFSET
0,1
COMMENTS
Heron (or Hero) of Alexandria calculated this constant as 4 + 9/14 or (4; 1, 1, 1, 4) in the first century AD, see Deslauriers & Dubuc or Metrica book III section 20. - Charles R Greathouse IV, Jan 16 2012
LINKS
Harry J. Smith, Table of n, a(n) for n = 0..20000
G. Deslauriers and S. Dubuc, Le calcul de la racine cubique selon Héron, Elem. Math. 51 (1996), pp. 28-34.
G. Xiao, Contfrac
EXAMPLE
100^(1/3) = 4.641588833612778... = 4 + 1/(1 + 1/(1 + 1/(1 + 1/(3 + ...)))). - Harry J. Smith, May 08 2009
PROG
(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(100^(1/3)); for (n=1, 20001, write("b010328.txt", n-1, " ", x[n])); } \\ Harry J. Smith, May 08 2009
CROSSREFS
KEYWORD
nonn,cofr
AUTHOR
STATUS
approved