A248282 Egyptian fraction representation of sqrt(57) (A010510) using a greedy function.

7, 2, 21, 452, 333526, 239840839427, 213854001335207704440895, 285250080311453944844806600568111651628374758476, 116331150526334053652977740551831381838315865368775202070425604169497427887617729415451917178949

Offset: 0

Author

Robert G. Wilson v, Oct 04 2014

Keywords

• nonn

Crossrefs

Egyptian fraction representations of the square roots: A006487, A224231, A248235-A248322.

Egyptian fraction representations of the cube roots: A129702, A132480-A132574.

Programs

Mathematica

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[ 57]]