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A248279 Egyptian fraction representation of sqrt(54) (A010507) using a greedy function. 0

%I #6 Oct 21 2019 01:12:34

%S 7,3,67,4751,25076431,1253373011645810,

%T 9187269148593176940086772749458,

%U 498651977464932900685397060435928260390239175775532045711576034,321776209073611476881274134051635561805771857820185011672099181310492331070886792488196910194328794077954530415887963244506932

%N Egyptian fraction representation of sqrt(54) (A010507) 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[ 54]]

%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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Last modified March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)