%I #6 Oct 20 2019 21:29:51

%S 6,5,23,659,437284,377751319913,340271588652415528090388,

%T 1890912187940287800367373789659912522501201614249,

%U 7449562319978893326251035904298267810521574218546460385778180298134511070414909881921779582771096

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

%t 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]]

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

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

%K nonn

%O 0,1

%A _Robert G. Wilson v_, Oct 04 2014