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%I #17 Jul 11 2022 08:36:49
%S 2,5,32,1249,5986000,438522193400489,3126430743599145840898147625516,
%T 10008815260914521335142941393259537613217919681721512170785592
%N (Greedy) Egyptian fraction expansion of frac(sqrt(3)) = sqrt(3)-1.
%H Amiram Eldar, <a href="/A118325/b118325.txt">Table of n, a(n) for n = 1..12</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/EgyptianFraction.html">Egyptian Fraction</a>.
%H <a href="/index/Ed#Egypt">Index entries for sequences related to Egyptian fractions</a>.
%e sqrt(3) - 1 = 1/2 + 1/5 + 1/32 + 1/1249 + 1/5986000 + ...
%t 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 *)
%Y Cf. A002194. See A224231 for another version.
%K nonn,frac
%O 1,1
%A _Eric W. Weisstein_, Apr 23 2006
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