A248285 Egyptian fraction representation of sqrt(60) (A010513) using a greedy function.

7, 2, 5, 22, 1953, 8757320, 200363231947338, 251498638872293007053426171621, 66042587251601360877390227281939923689168739166891158256860, 4700611214316865673372383919277278315652700484280159329574134292008149533706899635266740297016908819979207833123794661

Offset: 0

Author

Robert G. Wilson v, Oct 04 2014

Keywords

• nonn

Crossrefs

Cf. A010513 (decimal expansion), A040052 (continued fraction).

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[ 60]]