A248255 Egyptian fraction representation of sqrt(28) (A010483) using a greedy function.

5, 4, 25, 666, 892358, 830113252100, 6890868531517036908804204, 765564099160305273559925342798919694764879717405690, 681027718799553552099401892363533829797246440808729714034620705787624761700369516608168143683921127348

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[ 28]]