A248237 Egyptian fraction representation of sqrt(7) (A010465) using a greedy function.

2, 2, 7, 346, 250326, 159992246122, 43126926376468440463866, 2067900185855597116733968004943580535040713497, 14833490144163739987168640921306687956266487136609932761918465200939453258507455567518894133

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[ 7]]