A118325 (Greedy) Egyptian fraction expansion of frac(sqrt(3)) = sqrt(3)-1.
2, 5, 32, 1249, 5986000, 438522193400489, 3126430743599145840898147625516, 10008815260914521335142941393259537613217919681721512170785592
Offset: 1
Examples
sqrt(3) - 1 = 1/2 + 1/5 + 1/32 + 1/1249 + 1/5986000 + ...
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.
Programs
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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 *)