A132493 Egyptian fraction representation for the cube root of 17.

2, 15, 217, 150851, 347089704930, 132276284445362589279995, 18180998947336210738321894480328718385391687409, 331798469448615625905863103355997674623268003125463392901012846610572765829711433817898477581

Offset: 1

Author

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

Keywords

• frac
• nonn

Comments

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, ...

Examples

			Cube root of 17 = 2.5712815906582353554531872087397261164279016324547...
		

Programs

Mathematica

lst={};k=N[17^(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 *)