A248260 Egyptian fraction representation of sqrt(33) (A010488) using a greedy function.

5, 2, 5, 23, 923, 1039448, 1349594009502, 1841990944227649463764190, 5531888379621714420992617902281239594988386275117, 172423874327527416450254906621893256497583527925050132860644029730203113536215473159687066655835408

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[ 33]]