A248247 - OEIS

A248247

Egyptian fraction representation of sqrt(19) (A010475) using a greedy function.

4, 3, 40, 1769, 3133987, 24555734311137, 5553769558933640154963528048, 58425567381851662534231519139184106852906758833242204348, 8289351943967938706857419188398816898988729770105649746642711092034483624446711151502281270880844114102012375418

(list; graph; refs; listen; history; text; internal format)

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[ 19]]

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: A096201 A275521 A025175 * A016504 A362275 A324671

Adjacent sequences: A248244 A248245 A248246 * A248248 A248249 A248250

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Oct 04 2014

STATUS

approved