A248256 Egyptian fraction representation of sqrt(29) (A010484) using a greedy function.

5, 3, 20, 547, 301184, 147558270953, 86497522148984105061516, 8551929116782420428265616715584087619312418621, 99749931990938468116836650873165146389082138700427586581720209715910550531363814159816345424

Offset: 0

Author

Robert G. Wilson v, Oct 04 2014

Keywords

• nonn

Crossrefs

Egyptian fraction representations of the square roots: A006487, A224231, A248235-A248322.

Egyptian fraction representations of the cube roots: A129702, A132480-A132574.

Programs

Mathematica

Egyptian[nbr_] := Block[{lst = {IntegerPart[nbr]}, cons = N[ FractionalPart[ nbr], 2^20], denom, iter = 8}, While[ iter > 0, denom = Ceiling[ 1/cons]; AppendTo[ lst, denom]; cons -= 1/denom; iter--]; lst]; Egyptian[ Sqrt[ 29]]