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A132493 Egyptian fraction representation for the cube root of 17. +0
2
2, 15, 217, 150851, 347089704930, 132276284445362589279995, 18180998947336210738321894480328718385391687409, 33179846944861562590586310335599767462326800312546339290101284661057276582971143\ 3817898477581 (list; graph; listen)
OFFSET

1,1

COMMENT

Fractional part of 17^(1/3) = 1/2 + 1/15 + 1/217 + ... Generated with Perl's Math::BigFloat module. Number of digits in terms is as follows: 1, 2, 3, 6, 12, 24, 47, 93, 186, 372, ...

EXAMPLE

Cube root of 17 = 2.5712815906582353554531872087397261164279016324547...

MATHEMATICA

lst={}; k=N[17^(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]

CROSSREFS

Sequence in context: A020565 A099718 A143881 this_sequence A135860 A087962 A140054

Adjacent sequences: A132490 A132491 A132492 this_sequence A132494 A132495 A132496

KEYWORD

frac,nonn,new

AUTHOR

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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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