A248265 Egyptian fraction representation of sqrt(39) (A010493) using a greedy function.

6, 5, 23, 659, 437284, 377751319913, 340271588652415528090388, 1890912187940287800367373789659912522501201614249, 7449562319978893326251035904298267810521574218546460385778180298134511070414909881921779582771096

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[ 39]]