A248252 - OEIS

%I #6 Oct 20 2019 20:24:29

%S 4,2,3,16,318,667493,520599832812,1406502882894868771562029,

%T 5482100301108869539661068478608291549480253128390,

%U 195012261486920753888173091467257385308263858947121366558714224718185929485569758493733677353323155

%N Egyptian fraction representation of sqrt(24) (A010480) 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[ 24]]

%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