A248275 Egyptian fraction representation of sqrt(50) (A010503) using a greedy function.

7, 15, 228, 65875, 47908261511, 2667718882316939409472, 10322125191786944152031025720794295875480056, 2674110852900041212107591350675026110499276180787546409661407265673151668416641308455602

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[ 50]]