A248277 - OEIS

%I #6 Oct 21 2019 01:07:56

%S 7,5,91,8808,147334267,630308457230044767,

%T 705412662885103424818861300802350580,

%U 5393679030808484908733796582654864706316301359628528840178094089020230098

%N Egyptian fraction representation of sqrt(52) (A010505) 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[ 52]]

%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