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A096620 Denominator of -3n + 2(1+n)*HarmonicNumber[n]. +0
5
1, 1, 1, 3, 6, 5, 10, 35, 140, 126, 1260, 1155, 13860, 12870, 12012, 45045, 360360, 340340, 2042040, 1939938, 369512, 117572, 2586584, 7436429, 178474296, 171609900, 1487285800, 1434168450, 40156716600, 38818159380 (list; graph; listen)
OFFSET

1,4

COMMENT

Also, with initial term 0 (really this is A093419), denominator of q_n = -4n + 2(1+n)*HarmonicNumber[n] (Cameron). Cf. A115107.

Average time to quicksort n items in random order

REFERENCES

P. J. Cameron, Combinatorics, Cambridge Univ. Press, 1996, see p. 68.

LINKS

Eric Weisstein's World of Mathematics, Quicksort

EXAMPLE

0, 1, 3, 17/3, 53/6, 62/5, 163/10, 717/35, 3489/140, ...

CROSSREFS

Cf. A093418, A115107.

Sequence in context: A123089 A127780 A118413 this_sequence A093419 A160049 A007479

Adjacent sequences: A096617 A096618 A096619 this_sequence A096621 A096622 A096623

KEYWORD

nonn,frac

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Jul 01, 2004

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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