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Egyptian fraction representation of sqrt(12) (A010469) using a greedy function.
0

%I #6 Oct 20 2019 12:32:00

%S 3,3,8,174,47270,3322246062,13585339584457844199,

%T 266643312158266377656241697792775202384,

%U 221110316712057155914682414678073188192934894445719392090279403577596961625414

%N Egyptian fraction representation of sqrt(12) (A010469) using a greedy function.

%t Egyptian[nbr_] := Block[{lst = {IntegerPart[nbr]}, cons = N[ FractionalPart[ nbr], 2^20], denom, iter = 8}, While[ iter >

%t 0, denom = Ceiling[ 1/cons]; AppendTo[ lst, denom]; cons -= 1/denom; iter--]; lst]; Egyptian[ Sqrt[ 12]]

%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