A248283 Egyptian fraction representation of sqrt(58) (A010511) using a greedy function.

7, 2, 9, 215, 92320, 13695244912, 368745173102931073689, 150311820851633539318312286585042617903984, 29781104525890630329534612719719835579952306842149201572137004326202620882167834150

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[ 58]]