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%I #6 Oct 20 2019 12:35:11
%S 4,3,40,1769,3133987,24555734311137,5553769558933640154963528048,
%T 58425567381851662534231519139184106852906758833242204348,
%U 8289351943967938706857419188398816898988729770105649746642711092034483624446711151502281270880844114102012375418
%N Egyptian fraction representation of sqrt(19) (A010475) 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[ 19]]
%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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