A248318 Egyptian fraction representation of sqrt(95) (A010546) using a greedy function.

9, 2, 5, 22, 747, 899873, 1220923268615, 10510990350737693696021245, 316206307289858390044039445912464508089748171542815, 567822847346091249962050158000755056694537727317382487188197252275025245246033509041171437550989931224

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[ 95]]