A248322 Egyptian fraction representation of sqrt(99) (A010550) using a greedy function.

9, 2, 3, 9, 185, 40782, 1682066752, 6363269744807224762, 71990770113177468702243288679736023556, 7052581923050601721615256905785412578772858487621807510338728141989919040612

Offset: 0

Author

Robert G. Wilson v, Oct 05 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[ 99]]