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A248275 Egyptian fraction representation of sqrt(50) (A010503) using a greedy function. 1

%I #6 Oct 20 2019 21:33:38

%S 7,15,228,65875,47908261511,2667718882316939409472,

%T 10322125191786944152031025720794295875480056,

%U 2674110852900041212107591350675026110499276180787546409661407265673151668416641308455602

%N Egyptian fraction representation of sqrt(50) (A010503) 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[ 50]]

%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 17:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)