A248281 Egyptian fraction representation of sqrt(56) (A010509) using a greedy function.

7, 3, 7, 141, 31154, 5919757544, 160210422116327440975, 51936028072305364257094751268091425897982, 4468374619865723526161303689130955516769923438522458566697540434310939905017570043

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[ 56]]