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Egyptian fraction representation of sqrt(27) (A010482) using a greedy function.
1

%I #6 Oct 20 2019 21:24:33

%S 5,6,34,13516,202119099,64783216365098195,

%T 22100984125756663557825370106132649,

%U 666714143657173655990633057343413567220367208291412102910376204532308

%N Egyptian fraction representation of sqrt(27) (A010482) 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[ 27]]

%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