A248298 Egyptian fraction representation of sqrt(74) (A010526) using a greedy function.

8, 2, 10, 431, 196796, 42222589233, 4119127882822681368069, 22394712126990929163352329336575823966927304, 810283246500627303789590552867279442902569752132975902553147296681478084954900646327035

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[ 74]]