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A248299 Egyptian fraction representation of sqrt(75) (A010527) using a greedy function. 0

%I #6 Oct 24 2019 22:54:31

%S 8,2,7,58,6431,53009387,13524645787537549,

%T 1142628380301529129095399568249405,

%U 1570973545691471437706583067806558638094352380787686966365249029961,30132697563946080563252698610167018391060692836650929258987357511120069113850317439674328461143709736843885017809313776112531985178378

%N Egyptian fraction representation of sqrt(75) (A010527) 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[ 75]]

%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 September 11 08:42 EDT 2024. Contains 375814 sequences. (Running on oeis4.)