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A248314 Egyptian fraction representation of sqrt(91) (A010542) using a greedy function. 0

%I #6 Oct 24 2019 23:00:17

%S 9,2,26,1075,4112692,27635607215221,849264815973068493208894568,

%T 4841632147722920600382393247090367280521902842548984840,

%U 266615765339465306160951850397944334901944400721855522651965673953142506552009472018442954194685982876108261727

%N Egyptian fraction representation of sqrt(91) (A010542) 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[ 91]]

%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 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)