A248242 Egyptian fraction representation of sqrt(13) (A010470) using a greedy function.

3, 2, 10, 181, 37860, 2063394882, 20133724366323386460, 895769948382354175062611801976979893814, 1095684829796116398764171865109547325653507924058299202087102696023776712107256

Offset

0,1

Links

Table of n, a(n) for n=0..8.

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[ 13]]

Crossrefs

Egyptian fraction representations of the square roots: A006487, A224231, A248235-A248322.

Egyptian fraction representations of the cube roots: A129702, A132480-A132574.

Sequence in context: A088302 A074199 A153187 * A215598 A322603 A152177

Adjacent sequences: A248239 A248240 A248241 * A248243 A248244 A248245

Keyword

nonn

Author

Robert G. Wilson v, Oct 04 2014

Status

approved