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Search: id:A002868
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| A002868 |
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Largest number in n-th row of triangle of Lah numbers A008297.
(Formerly M1703 N0673)
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+0
4
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| 1, 1, 2, 6, 36, 240, 1800, 15120, 141120, 1693440, 21772800, 299376000, 4390848000, 68497228800, 1133317785600, 19833061248000, 396661224960000, 8299373322240000, 181400588328960000, 4135933413900288000
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
T. S. Motzkin, Sorting numbers ...: for a link to this paper see A000262.
T. S. Motzkin, Sorting numbers for cylinders and other classification numbers, in Combinatorics, Proc. Symp. Pure Math. 19, AMS, 1971, pp. 167-176, the sequence {! max}_{>}^{n+}.
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FORMULA
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For For 2 <= n <= 7, equals (n+1)!*n/2. - Alexander Povolotsky, Oct 16 2006
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MAPLE
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with(combinat): for n from 0 to 35 do big := 1: for m from 1 to n do if big < n!*binomial(n-1, m-1)/m! then big := n!*binomial(n-1, m-1)/m! fi: od: printf(`%d, `, big): od:
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CROSSREFS
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Cf. A000262, A008297. Essentially the same as A001286.
Sequence in context: A152668 A086325 A074424 this_sequence A002869 A052845 A052832
Adjacent sequences: A002865 A002866 A002867 this_sequence A002869 A002870 A002871
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KEYWORD
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nonn,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jan 03 2001
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