A248247 Egyptian fraction representation of sqrt(19) (A010475) using a greedy function.

4, 3, 40, 1769, 3133987, 24555734311137, 5553769558933640154963528048, 58425567381851662534231519139184106852906758833242204348, 8289351943967938706857419188398816898988729770105649746642711092034483624446711151502281270880844114102012375418

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[ 19]]