%I #6 Oct 24 2019 23:02:56
%S 9,2,3,9,185,40782,1682066752,6363269744807224762,
%T 71990770113177468702243288679736023556,
%U 7052581923050601721615256905785412578772858487621807510338728141989919040612
%N Egyptian fraction representation of sqrt(99) (A010550) 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[ 99]]
%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 05 2014
|