A248294 Egyptian fraction representation of sqrt(70) (A010522) using a greedy function.

8, 3, 31, 992, 1245369, 3302336350417, 47523810173595463077699706, 15227181289661678179456803859437449044352739723867580, 290150350103448613285887398334236111049315440797539935407545942151460489216853681370927408862165807652692

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[ 70]]

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: A228886 A182160 A213838 * A370564 A004734 A287645

Adjacent sequences: A248291 A248292 A248293 * A248295 A248296 A248297

Keyword

nonn

Author

Robert G. Wilson v, Oct 04 2014

Status

approved