A248273 Egyptian fraction representation of sqrt(47) (A010501) using a greedy function.

6, 2, 3, 45, 10097, 180933939, 70214804893433857, 24596197522004292913199742834240369, 851917396155337556711167562167009352482986581505723891411145951010937, 1830843559366860042528367793031819716270540620095563249767306742965459078226069734667092696644523226923832775331940549734586475295256730688

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[ 47]]

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: A182011 A086048 A239578 * A176396 A198502 A244858

Adjacent sequences: A248270 A248271 A248272 * A248274 A248275 A248276

Keyword

nonn

Author

Robert G. Wilson v, Oct 04 2014

Status

approved