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A132480
Egyptian fraction representation for the cube root of 3.
112
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, ...
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: A290557 A034945 A374868 * A201694 A336210 A244305
KEYWORD
frac,nonn
AUTHOR
Jonathan Wellons (wellons(AT)gmail.com), Aug 23 2007
STATUS
approved