A248246 Egyptian fraction representation of sqrt(18) (A010474) using a greedy function.

4, 5, 24, 1027, 3219387, 102715635003972, 28595657331015533671660837004, 1215572475769570408109978391934299568566509985905302163092, 2006120697781748129559395265597556700767017998650179835542888817906954377068504244660639847221485156172682330027607

Offset

0,1

Links

Table of n, a(n) for n=0..8.

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[ 18]]

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: A249060 A042601 A219515 * A164054 A333321 A047168

Adjacent sequences: A248243 A248244 A248245 * A248247 A248248 A248249

Keyword

nonn

Author

Robert G. Wilson v, Oct 04 2014

Status

approved