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A248273 Egyptian fraction representation of sqrt(47) (A010501) using a greedy function. 0

%I #6 Oct 20 2019 21:32:55

%S 6,2,3,45,10097,180933939,70214804893433857,

%T 24596197522004292913199742834240369,

%U 851917396155337556711167562167009352482986581505723891411145951010937,1830843559366860042528367793031819716270540620095563249767306742965459078226069734667092696644523226923832775331940549734586475295256730688

%N Egyptian fraction representation of sqrt(47) (A010501) using a greedy function.

%t Egyptian[nbr_] := Block[{lst = {IntegerPart[nbr]}, cons = N[ FractionalPart[ nbr], 2^20], denom, iter = 8}, While[

%t iter > 0, denom = Ceiling[ 1/cons]; AppendTo[ lst, denom]; cons -= 1/denom; iter--]; lst]; Egyptian[ Sqrt[ 47]]

%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 28 07:20 EDT 2024. Contains 371235 sequences. (Running on oeis4.)