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%I #6 Oct 21 2019 01:13:09
%S 7,3,13,169,40134,1830451404,6293054590385574716,
%T 99455005060617253985959291400980656073,
%U 14444603640289593121113624113291244368730444113988502168325108818988403980391
%N Egyptian fraction representation of sqrt(55) (A010508) 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[ 55]]
%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