A132493 Egyptian fraction representation for the cube root of 17.

2, 15, 217, 150851, 347089704930, 132276284445362589279995, 18180998947336210738321894480328718385391687409, 331798469448615625905863103355997674623268003125463392901012846610572765829711433817898477581

Offset

1,1

Comments

Fractional part of 17^(1/3) = 1/2 + 1/15 + 1/217 + ... Generated with Perl's Math::BigFloat module. Number of digits in terms is as follows: 1, 2, 3, 6, 12, 24, 47, 93, 186, 372, ...

Links

Table of n, a(n) for n=1..8.

Example

Cube root of 17 = 2.5712815906582353554531872087397261164279016324547...

Mathematica

lst={}; k=N[17^(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

Sequence in context: A143881 A298692 A361617 * A135860 A178533 A087962

Adjacent sequences: A132490 A132491 A132492 * A132494 A132495 A132496

Keyword

frac,nonn

Author

Jonathan Wellons (wellons(AT)gmail.com), Aug 23 2007

Status

approved