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A132480 Egyptian fraction representation for the cube root of 3. 111
3, 10, 113, 14998, 256725552, 79495118506361081, 6480268330692915629803793658671757, 984530327504354982944576316519560092815242586628365115582359837408754 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Fractional part of 3^(1/3) = 1/3 + 1/10 + 1/113 + ... Generated with Perl's Math::BigFloat module. Number of digits in terms is as follows: 1, 2, 3, 5, 9, 17, 34, 69, 139, 278, ...

LINKS

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

EXAMPLE

Cube root of 3 = 1.4422495703074083823216383107801095883918692534994...

MATHEMATICA

lst={}; k=N[3^(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: A073306 A290557 A034945 * A201694 A244305 A074260

Adjacent sequences:  A132477 A132478 A132479 * A132481 A132482 A132483

KEYWORD

frac,nonn

AUTHOR

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

STATUS

approved

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Last modified October 15 15:14 EDT 2019. Contains 328030 sequences. (Running on oeis4.)