A118325 (Greedy) Egyptian fraction expansion of frac(sqrt(3)) = sqrt(3)-1.

2, 5, 32, 1249, 5986000, 438522193400489, 3126430743599145840898147625516, 10008815260914521335142941393259537613217919681721512170785592

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..12

Eric Weisstein's World of Mathematics, Egyptian Fraction.

Index entries for sequences related to Egyptian fractions.

Example

sqrt(3) - 1 = 1/2 + 1/5 + 1/32 + 1/1249 + 1/5986000 + ...

Mathematica

lst={}; k=N[(Sqrt[3]-1), 1000]; Do[s=Ceiling[1/k]; AppendTo[lst, s]; k=k-1/s, {n, 12}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 02 2009 *)

Crossrefs

Cf. A002194. See A224231 for another version.

Sequence in context: A353195 A203227 A207135 * A224231 A357944 A019037

Adjacent sequences: A118322 A118323 A118324 * A118326 A118327 A118328

Keyword

nonn,frac

Author

Eric W. Weisstein, Apr 23 2006

Status

approved