OFFSET
1,1
COMMENTS
Fractional part of 100^(1/3) = 1/2 + 1/8 + 1/61 + ... Generated with Perl's Math::BigFloat module. Number of digits in terms is as follows: 1, 1, 2, 4, 9, 18, 36, 72, 144, 287, ...
LINKS
G. Deslauriers and S. Dubuc, Le calcul de la racine cubique selon Héron, Elem. Math. 51 (1996), pp. 28-34.
Aoife Hennessy, A Study of Riordan Arrays with Applications to Continued Fractions, Orthogonal Polynomials and Lattice Paths, Ph. D. Thesis, Waterford Institute of Technology, Oct. 2011.
EXAMPLE
Cube root of 100 = 4.6415888336127788924100763509194465765513491250112...
MATHEMATICA
lst={}; k=N[100^(1/3), 1000]; Do[s=Ceiling[1/k]; AppendTo[lst, s]; k=k-1/s, {n, 12}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 02 2009 *)
CROSSREFS
KEYWORD
frac,nonn
AUTHOR
Jonathan Wellons (wellons(AT)gmail.com), Aug 23 2007
STATUS
approved