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Search: id:A115107
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| A115107 |
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Numerator of q_n = -4n + 2(1+n)*HarmonicNumber(n). |
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+0
2
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| 0, 1, 8, 29, 37, 103, 472, 2369, 2593, 30791, 32891, 452993, 476753, 499061, 2080328, 18358463, 18999103, 124184839, 127860511, 26274175, 8982005, 211524139, 648798629, 16562041459, 16891532467, 154883957203, 157646059403, 4649180818987, 4724140023307
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Average time to quicksort n items in random order.
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REFERENCES
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P. J. Cameron, Combinatorics, Cambridge Univ. Press, 1996, see p. 68.
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LINKS
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Eric Weisstein's World of Mathematics, Quicksort
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EXAMPLE
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0, 1, 8/3, 29/6, 37/5, 103/10, 472/35, 2369/140, 2593/126, ...
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MATHEMATICA
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f[n_] := Numerator[ -4n + 2(n + 1)HarmonicNumber[n]]; Array[f, 29] (from Robert G. Wilson v (rgwv(at)rgwv.com), May 01 2006)
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CROSSREFS
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Cf. A093418, A096620.
Sequence in context: A027380 A058289 A068623 this_sequence A035339 A034167 A093809
Adjacent sequences: A115104 A115105 A115106 this_sequence A115108 A115109 A115110
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KEYWORD
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nonn,frac
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AUTHOR
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njas, Mar 07 2006
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