A248235 Egyptian fraction representation of sqrt(5) (A002163) using a greedy function.

2, 5, 28, 2828, 11765225, 244616741135815, 200345939091917238204751820525, 58201747163932603551486315260692070868016224421408235882974, 3950825087286888657146721201016118914863842749907092675300186489072730656660851348699680127901879302396406080621599015

Offset: 0

Author

Robert G. Wilson v, Oct 04 2014

Keywords

• nonn
• frac

Links

• Amiram Eldar, Table of n, a(n) for n = 0..11
• Eric Weisstein's World of Mathematics, Egyptian Fraction.
• Index entries for sequences related to Egyptian fractions.

Crossrefs

Egyptian fraction representations of the square roots: A006487, A224231, A248235-A248322.

Egyptian fraction representations of the cube roots: A129702, A132480-A132574.

Cf. A002163.

Programs

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[ 5]]