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A248308 Egyptian fraction representation of sqrt(85) (A010536) using a greedy function. 0

%I #6 Oct 24 2019 22:58:05

%S 9,5,52,3188,84918152,16076240863422804,

%T 414301661246661635838512408392212,

%U 322874955397009416384181733402291919609578193183044079681678443089,162879628085209618118393406431670411111270528217363349375030319925289267303145152426058897418548846768803944306076778632776827619214

%N Egyptian fraction representation of sqrt(85) (A010536) 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[ 85]]

%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

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)