A248289 - OEIS

%I #6 Oct 24 2019 22:50:40

%S 8,17,292,104588,38180791782,3220186027640389204438,

%T 514699020130621511259820819971940751063386467,

%U 352263737947121519527774929870101098823418099762680744113382295431246430941544915986778001

%N Egyptian fraction representation of sqrt(65) (A010517) 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[ 65]]

%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