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A248286 Egyptian fraction representation of sqrt(61) (A010514) using a greedy function. 0

%I

%S 7,2,4,17,702,607877,1343651924022,4320622614714270261311118,

%T 32109651275722538015654226404724112550695835225776,

%U 2887634404082286927710711082091702089862802645035135042777568254515668100623050781361931122852713355

%N Egyptian fraction representation of sqrt(61) (A010514) 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[ 61]]

%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 July 9 04:03 EDT 2020. Contains 335538 sequences. (Running on oeis4.)