A248320 Egyptian fraction representation of sqrt(97) (A010548) using a greedy function.

9, 2, 3, 65, 7151, 80022924, 30599691861141025, 941764378394111110366748005603120790, 1207204053149486733914427645845997404101266838687995330054616662472844167

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[ 97]]