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Search: id:A118324
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| A118324 |
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(Greedy) Egyptian fraction expansion of ln(2). |
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+0
26
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| 2, 6, 38, 6071, 144715221, 58600453312405245, 28261174043083404192255923187258021, 1350299665604204277005894785275782053022737307184211775676631561245153
(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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ln(2) = 1/2 + 1/6 + 1/38 + 1/6071 + 1/144715221 + ...
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MATHEMATICA
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lst={}; k=N[Log[2], 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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PROGRAM
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(PARI) x=log(2); for (k=1, 8, d=ceil(1/x); x=x-1/d; print(d)) [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Feb 24 2009]
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CROSSREFS
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Cf. A002162.
Sequence in context: A057297 A005530 A072191 this_sequence A060421 A054970 A120492
Adjacent sequences: A118321 A118322 A118323 this_sequence A118325 A118326 A118327
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Apr 23, 2006
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EXTENSIONS
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a(8) from Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Feb 24 2009
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