A248268 Egyptian fraction representation of sqrt(42) (A010496) using a greedy function.

6, 3, 7, 220, 209746, 1800026104632, 11289682294671072755879655, 1247832270676194041105480584245717817404868332358363, 5623554373314472317858205865619051220489843727752125404940182021329874216730979924009375686764591034334

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[ 42]]

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: A133612 A221149 A070392 * A115371 A371376 A096253

Adjacent sequences: A248265 A248266 A248267 * A248269 A248270 A248271

Keyword

nonn

Author

Robert G. Wilson v, Oct 04 2014

Status

approved