A248310 Egyptian fraction representation of sqrt(87) (A010538) using a greedy function.

9, 4, 13, 2194, 5329025, 46771207053455, 2802237052080372428026136734, 12510432473074147729999979728187564270491562331166445085, 196800802775232741733342051327922129738105822852379351588232521807086587496995470940763786464334491337080748624

Offset: 0

Author

Robert G. Wilson v, Oct 04 2014

Keywords

• nonn

Crossrefs

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

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

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[ 87]]