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Search: id:A132480
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| A132480 |
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Egyptian fraction representation for the cube root of 3. |
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+0
24
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| 3, 10, 113, 14998, 256725552, 79495118506361081, 6480268330692915629803793658671757, 984530327504354982944576316519560092815242586628365115582359837408754
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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, ...
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EXAMPLE
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Cube root of 3 = 1.4422495703074083823216383107801095883918692534994...
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MATHEMATICA
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lst={}; k=N[3^(1/3), 1000]; Do[s=Ceiling[1/k]; AppendTo[lst, s]; k=k-1/s, {n, 12}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 02 2009]
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CROSSREFS
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Sequence in context: A048531 A073306 A034945 this_sequence A074260 A056006 A067999
Adjacent sequences: A132477 A132478 A132479 this_sequence A132481 A132482 A132483
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KEYWORD
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frac,nonn,new
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AUTHOR
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Jonathan Wellons (wellons(AT)gmail.com), Aug 23 2007
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