A248262 Egyptian fraction representation of sqrt(35) (A010490) using a greedy function.

5, 2, 3, 13, 172, 106165, 18285649425, 2186743227575352844102, 34485253453894276212351220254887863775700566, 1196120890861075329034546890130985440938005448458845105688952404014155813652248242764257

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[ 35]]