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Egyptian fraction representation of sqrt(44) (A010498) using a greedy function.
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%I #6 Oct 20 2019 21:31:47

%S 6,2,8,122,18919,402739144,764123173937021975,

%T 2148666191962903360885805290461855276,

%U 8622580654686644746427953833014483269744901669599325824509666827330296874

%N Egyptian fraction representation of sqrt(44) (A010498) 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[ Sq

%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