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%I #6 Oct 21 2019 01:14:18
%S 7,2,21,452,333526,239840839427,213854001335207704440895,
%T 285250080311453944844806600568111651628374758476,
%U 116331150526334053652977740551831381838315865368775202070425604169497427887617729415451917178949
%N Egyptian fraction representation of sqrt(57) (A010510) 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[ 57]]
%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
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