A248318 - OEIS

%I #6 Oct 24 2019 23:01:40

%S 9,2,5,22,747,899873,1220923268615,10510990350737693696021245,

%T 316206307289858390044039445912464508089748171542815,

%U 567822847346091249962050158000755056694537727317382487188197252275025245246033509041171437550989931224

%N Egyptian fraction representation of sqrt(95) (A010546) 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[ 95]]

%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