A248312 Egyptian fraction representation of sqrt(89) (A010540) using a greedy function.

9, 3, 10, 1544, 7672861, 165539010732510, 586864529453110226492165851331, 871003380327454541280891832552137332670921835660945051093895, 2159449483938656978093695014156930904695073276185544390260923894390056236682698754475769727345306732241283513516715451298

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[ 89]]