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Egyptian fraction representation of sqrt(51) (A010504) using a greedy function.
0

%I #6 Oct 21 2019 01:07:28

%S 7,8,61,28583,11215712908,163912730694765446902,

%T 323312653298355913241854107936424272297052,

%U 282221573696620922018917798450701835109135899750274145244297035015729916105092332416

%N Egyptian fraction representation of sqrt(51) (A010504) 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[ 51]]

%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