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A248239 Egyptian fraction representation of sqrt(10) (A010467) using a greedy function. 1

%I #7 Oct 20 2019 12:30:49

%S 3,7,52,5271,32510519,1551821465402536,

%T 2553352811042166137014681056617,

%U 6785214292790116540717856342564735260380655042140053309985580,57499324177051573068556985649019772314982410954417460069917198506894068347777607349711324456505504280305966462257432295349

%N Egyptian fraction representation of sqrt(10) (A010467) 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[ 10]]

%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 April 24 15:37 EDT 2024. Contains 371960 sequences. (Running on oeis4.)