A248316 Egyptian fraction representation of sqrt(93) (A010544) using a greedy function.

9, 2, 7, 1261, 1675816, 88347178296709, 9125661908898813209593366366, 121027088765475470246692180437471007789578710116057334417, 12633191396046337132562053250878765047674173616082104244017001032417219816643782643353462090455648430033589876568764

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[ 93]]