A118324 (Greedy) Egyptian fraction expansion of log 2.

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

Offset: 1

Author

Eric W. Weisstein, Apr 23 2006

Keywords

• nonn
• frac

Examples

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

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.

Crossrefs

Cf. A002162 (log(2)).

Programs

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 *)

PARI

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

Extensions

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