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Egyptian fraction representation of sqrt(71) (A010523) using a greedy function.
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%I #11 Oct 24 2019 22:53:09

%S 8,3,11,525,386544,639498711870,1018235602235689213572994,

%T 6335607869766803762689695208858285361004070429148,

%U 42457213694266417320054923496312615766199040305766336893524891089914272708684998227290613582884885

%N Egyptian fraction representation of sqrt(71) (A010523) 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[ 71]]

%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