A248305 Egyptian fraction representation of sqrt(82) (A010533) using a greedy function.

9, 19, 364, 158568, 7483072370239, 800584801436242461055205607, 804967345737393522659886914511772380605508613608740482, 1952430246641956813527923846249169608538413464343857806735578675242145974375232933703999085491264008473613681

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[ 82]]