A248309 Egyptian fraction representation of sqrt(86) (A010537) using a greedy function.

9, 4, 43, 2758, 10003866, 210627752029830, 52347107682242256851283255963, 2888760102328257324292867347514624728389388637643413378835, 73966122168790045965795439815232439142274674774329779302853705553926323866554092485061114120398281226411275872002645

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[ 86]]