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Search: id:A118325
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| A118325 |
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(Greedy) Egyptian fraction expansion of frac(sqrt(3)) = sqrt(3)-1. |
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+0
25
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| 2, 5, 32, 1249, 5986000, 438522193400489, 3126430743599145840898147625516, 10008815260914521335142941393259537613217919681721512170785592
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Eric Weisstein's World of Mathematics, Egyptian Fraction
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EXAMPLE
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sqrt(3)-1 = 1/2 + 1/5 + 1/32 + 1/1249 + 1/5986000 + ...
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MATHEMATICA
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lst={}; k=N[(Sqrt[3]-1), 1000]; Do[s=Ceiling[1/k]; AppendTo[lst, s]; k=k-1/s, {n, 12}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 02 2009]
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CROSSREFS
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Cf. A002194.
Sequence in context: A019036 A005636 A067299 this_sequence A019037 A019038 A114793
Adjacent sequences: A118322 A118323 A118324 this_sequence A118326 A118327 A118328
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KEYWORD
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nonn,new
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Apr 23, 2006
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