A248256 - OEIS

%I #6 Oct 20 2019 21:26:19

%S 5,3,20,547,301184,147558270953,86497522148984105061516,

%T 8551929116782420428265616715584087619312418621,

%U 99749931990938468116836650873165146389082138700427586581720209715910550531363814159816345424

%N Egyptian fraction representation of sqrt(29) (A010484) 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[ 29]]

%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