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Egyptian fraction representation of sqrt(11) (A010468) using a greedy function.
0

%I #6 Oct 20 2019 12:31:27

%S 3,4,16,243,104559,25176928409,26586186736052347315834,

%T 1862816215759124563815793524962166009780011752,

%U 5214712907768239185916350444296489272388117885310572145230445264540008760076034857528421553

%N Egyptian fraction representation of sqrt(11) (A010468) 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[ 11]]

%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 23 05:13 EDT 2024. Contains 376143 sequences. (Running on oeis4.)