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Search: id:A132574
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| A132574 |
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Egyptian fraction representation for the cube root of 100. |
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+0 24
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| 2, 8, 61, 5118, 461665855, 623226225881980511, 414504377324573765293514801448728784, 236902165576254773155426469727218731977450593637429985699626109166408392
(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 100^(1/3) = 1/2 + 1/8 + 1/61 + ... Generated with Perl's Math::BigFloat module. Number of digits in terms is as follows: 1, 1, 2, 4, 9, 18, 36, 72, 144, 287, ...
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EXAMPLE
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Cube root of 100 = 4.6415888336127788924100763509194465765513491250112...
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MATHEMATICA
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lst={}; k=N[100^(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: A058862 A140722 A116976 this_sequence A086903 A161566 A159476
Adjacent sequences: A132571 A132572 A132573 this_sequence A132575 A132576 A132577
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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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