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%I #6 Oct 20 2019 21:29:05
%S 6,13,172,39216,11016972197,134283233503741443791,
%T 18872603108304707287590736836379382332539,
%U 773806129529571836706640292961775806691343199188996534429569375589794450652266246
%N Egyptian fraction representation of sqrt(37) (A010491) 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[ 37]]
%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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