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%I #6 Oct 20 2019 21:30:38
%S 6,3,15,321,111450,533909816159,325998701518914099105001,
%T 1006914879088411198399682064005635831534437484321,
%U 1497711655729721286088828059704410216184274677681054392262396421340070136379357931802690267613686
%N Egyptian fraction representation of sqrt(41) (A010495) 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[ 41]]
%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