A118324 (Greedy) Egyptian fraction expansion of log 2.

2, 6, 38, 6071, 144715221, 58600453312405245, 28261174043083404192255923187258021, 1350299665604204277005894785275782053022737307184211775676631561245153

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..11

Eric Weisstein's World of Mathematics, Egyptian Fraction.

Index entries for sequences related to Egyptian fractions.

Example

log(2) = 1/2 + 1/6 + 1/38 + 1/6071 + 1/144715221 + ...

Mathematica

lst={}; k=N[Log[2], 1000]; Do[s=Ceiling[1/k]; AppendTo[lst, s]; k=k-1/s, {n, 12}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 02 2009 *)

Prog

(PARI) x=log(2); for (k=1, 8, d=ceil(1/x); x=x-1/d; print(d)) \\ Jaume Oliver Lafont, Feb 24 2009

Crossrefs

Cf. A002162 (log(2)).

Sequence in context: A005530 A353535 A072191 * A060421 A054970 A211348

Adjacent sequences: A118321 A118322 A118323 * A118325 A118326 A118327

Keyword

nonn,frac

Author

Eric W. Weisstein, Apr 23 2006

Extensions

a(8) from Jaume Oliver Lafont, Feb 24 2009

Status

approved