%I #7 Oct 24 2019 22:54:10
%S 8,2,10,431,196796,42222589233,4119127882822681368069,
%T 22394712126990929163352329336575823966927304,
%U 810283246500627303789590552867279442902569752132975902553147296681478084954900646327035
%N Egyptian fraction representation of sqrt(74) (A010526) 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[ 74]]
%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
|