A248250 Egyptian fraction representation of sqrt(22) (A010478) using a greedy function.

4, 2, 6, 43, 2028, 5477762, 40063230724280, 10039617492048087897098971783, 598943577818423089223821862011302605314284839297545338532, 451273778419286656581820003198742640276389207705020449590295850757882195737121214614786626350432663721793231915121

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[ 22]]