A248238 Egyptian fraction representation of sqrt(8) (A010466) using a greedy function.

2, 2, 4, 13, 665, 3467111, 21396320062803, 658294037732639489281287503, 22388829144690900907571301740725846339553919136567283158, 522702581366233755060474792093646176756253098085471164612763539572950704431022333880928617340303584572474648760

Offset

0,1

Links

Table of n, a(n) for n=0..9.

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[ 8]]

Crossrefs

Egyptian fraction representations of the square roots: A006487, A224231, A248235-A248322.

Egyptian fraction representations of the cube roots: A129702, A132480-A132574.

Sequence in context: A048157 A130797 A362262 * A268009 A263224 A360922

Adjacent sequences: A248235 A248236 A248237 * A248239 A248240 A248241

Keyword

nonn

Author

Robert G. Wilson v, Oct 04 2014

Status

approved