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A248285 Egyptian fraction representation of sqrt(60) (A010513) using a greedy function. 0

%I

%S 7,2,5,22,1953,8757320,200363231947338,251498638872293007053426171621,

%T 66042587251601360877390227281939923689168739166891158256860,

%U 4700611214316865673372383919277278315652700484280159329574134292008149533706899635266740297016908819979207833123794661

%N Egyptian fraction representation of sqrt(60) (A010513) 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[ 60]]

%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 August 6 19:52 EDT 2020. Contains 336256 sequences. (Running on oeis4.)