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Egyptian fraction representation of sqrt(35) (A010490) using a greedy function.
0

%I #6 Oct 20 2019 21:28:39

%S 5,2,3,13,172,106165,18285649425,2186743227575352844102,

%T 34485253453894276212351220254887863775700566,

%U 1196120890861075329034546890130985440938005448458845105688952404014155813652248242764257

%N Egyptian fraction representation of sqrt(35) (A010490) 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[ 35]]

%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