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Egyptian fraction representation of sqrt(88) (A010539) using a greedy function.
0

%I #6 Oct 24 2019 22:59:11

%S 9,3,22,490,354041,1208217960776,4186940633541789679127193,

%T 76474669481022771277404940186836961906372402204599,

%U 7594258642248803079765161740266796480079825999844206739159205729216343587849398469094469783005401105

%N Egyptian fraction representation of sqrt(88) (A010539) 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[ 88]]

%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