A132480 Egyptian fraction representation for the cube root of 3.

3, 10, 113, 14998, 256725552, 79495118506361081, 6480268330692915629803793658671757, 984530327504354982944576316519560092815242586628365115582359837408754

Offset

1,1

Comments

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

Amiram Eldar, Table of n, a(n) for n = 1..11

Eric Weisstein's World of Mathematics, Egyptian Fraction.

Index entries for sequences related to Egyptian fractions.

Example

Fractional part of 3^(1/3) = 1/3 + 1/10 + 1/113 + ...

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

Cf. A002581.

Sequence in context: A073306 A290557 A034945 * A201694 A336210 A244305

Adjacent sequences: A132477 A132478 A132479 * A132481 A132482 A132483

Keyword

frac,nonn

Author

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

Status

approved