%I #6 Oct 24 2019 22:54:31
%S 8,2,7,58,6431,53009387,13524645787537549,
%T 1142628380301529129095399568249405,
%U 1570973545691471437706583067806558638094352380787686966365249029961,30132697563946080563252698610167018391060692836650929258987357511120069113850317439674328461143709736843885017809313776112531985178378
%N Egyptian fraction representation of sqrt(75) (A010527) 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[ 75]]
%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
|