A248311 Egyptian fraction representation of sqrt(88) (A010539) using a greedy function.

9, 3, 22, 490, 354041, 1208217960776, 4186940633541789679127193, 76474669481022771277404940186836961906372402204599, 7594258642248803079765161740266796480079825999844206739159205729216343587849398469094469783005401105

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[ 88]]