A248293 Egyptian fraction representation of sqrt(69) (A010521) using a greedy function.

8, 4, 18, 937, 933269, 1035335826584, 1922586201513701668252744, 28276178347455966021225105018046994195665521584589, 833556138210674401337075496134582593689166273775276908669899884379507156146934822563063380503158977

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[ 69]]

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: A178603 A018810 A070485 * A151726 A070290 A307266

Adjacent sequences: A248290 A248291 A248292 * A248294 A248295 A248296

Keyword

nonn

Author

Robert G. Wilson v, Oct 04 2014

Status

approved