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%I #6 Oct 24 2019 22:59:50
%S 9,3,7,94,237731,136665970245,67743329578333536936775,
%T 10460967934729507088324847821919729395581628411,
%U 306082921822884432486900888604912785778982912341380971382664469281664438592792428646830982341
%N Egyptian fraction representation of sqrt(90) (A010541) 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[ 90]]
%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