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A248268 Egyptian fraction representation of sqrt(42) (A010496) using a greedy function. 0

%I #6 Oct 20 2019 21:31:02

%S 6,3,7,220,209746,1800026104632,11289682294671072755879655,

%T 1247832270676194041105480584245717817404868332358363,

%U 5623554373314472317858205865619051220489843727752125404940182021329874216730979924009375686764591034334

%N Egyptian fraction representation of sqrt(42) (A010496) 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[ 42]]

%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 May 10 07:40 EDT 2024. Contains 372358 sequences. (Running on oeis4.)