A248274 Egyptian fraction representation of sqrt(48) (A010502) using a greedy function.

6, 2, 3, 11, 253, 121406, 26366884520, 849309519459745289215, 1275274072254463235178765644812100983170793, 6840927687383150447046638299623716679409134458251745775753167712124043749551513939746

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[ 48]]