A248291 Egyptian fraction representation of sqrt(67) (A010519) using a greedy function.

8, 6, 54, 5968, 37928283, 14186508539132240, 215574431124169048574472920051105, 619113864242566215185357331731644567622871533734575552668037746157, 1026704635586993757466869990798845550899476775104786232072062922961543188349830119350020024351935013557637621452049626418228548257237

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[ 67]]