A132480 Egyptian fraction representation for the cube root of 3.

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

Offset: 1

Author

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

Keywords

• frac
• nonn

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, ...

Examples

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

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.

Crossrefs

Cf. A002581.

Programs

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 *)