A248267 Egyptian fraction representation of sqrt(41) (A010495) using a greedy function.

6, 3, 15, 321, 111450, 533909816159, 325998701518914099105001, 1006914879088411198399682064005635831534437484321, 1497711655729721286088828059704410216184274677681054392262396421340070136379357931802690267613686

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[ 41]]