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A248238 Egyptian fraction representation of sqrt(8) (A010466) using a greedy function. 0

%I #6 Oct 20 2019 12:30:17

%S 2,2,4,13,665,3467111,21396320062803,658294037732639489281287503,

%T 22388829144690900907571301740725846339553919136567283158,

%U 522702581366233755060474792093646176756253098085471164612763539572950704431022333880928617340303584572474648760

%N Egyptian fraction representation of sqrt(8) (A010466) 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[ 8]]

%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 April 17 20:27 EDT 2024. Contains 371767 sequences. (Running on oeis4.)