A248292 Egyptian fraction representation of sqrt(68) (A010520) using a greedy function.

8, 5, 22, 1322, 3621500, 17445297363138, 776156771532279826926457191, 1125673063406602593902433484734481317497130098734266573, 2359563766366828684685276326098059577152401128042629265861141526556488039378108148960279616218064655420661149

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[ 68]]