|
| |
|
|
A132574
|
|
Egyptian fraction representation for the cube root of 100.
|
|
23
| |
|
|
2, 8, 61, 5118, 461665855, 623226225881980511, 414504377324573765293514801448728784, 236902165576254773155426469727218731977450593637429985699626109166408392
(list; graph; refs; listen; history; internal format)
|
|
|
|
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, ...
|
|
|
REFERENCES
| 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; http://repository.wit.ie/1693/1/AoifeThesis.pdf
|
|
|
LINKS
| G. Deslauriers and S. Dubuc, Le calcul de la racine cubique selon Héron, Elem. Math. 51 (1996), pp. 28-34.
|
|
|
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 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 02 2009]
|
|
|
CROSSREFS
| Cf. A010670.
Sequence in context: A191482 A140722 A116976 * A086903 A161566 A192516
Adjacent sequences: A132571 A132572 A132573 * A132575 A132576 A132577
|
|
|
KEYWORD
| frac,nonn,changed
|
|
|
AUTHOR
| Jonathan Wellons (wellons(AT)gmail.com), Aug 23 2007
|
| |
|
|
