Search: id:A002868
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%I A002868 M1703 N0673
%S A002868 1,1,2,6,36,240,1800,15120,141120,1693440,21772800,299376000,
%T A002868 4390848000,68497228800,1133317785600,19833061248000,396661224960000,
%U A002868 8299373322240000,181400588328960000,4135933413900288000
%N A002868 Largest number in n-th row of triangle of Lah numbers A008297.
%D A002868 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002868 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002868 T. S. Motzkin, Sorting numbers ...: for a link to this paper see A000262.
%D A002868 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+}.
%F A002868 For For 2 <= n <= 7, equals (n+1)!*n/2. - Alexander Povolotsky, Oct 16 
               2006
%p A002868 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:
%Y A002868 Cf. A000262, A008297. Essentially the same as A001286.
%Y A002868 Sequence in context: A152668 A086325 A074424 this_sequence A002869 A052845 
               A052832
%Y A002868 Adjacent sequences: A002865 A002866 A002867 this_sequence A002869 A002870 
               A002871
%K A002868 nonn,nice,easy
%O A002868 0,3
%A A002868 N. J. A. Sloane (njas(AT)research.att.com).
%E A002868 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jan 03 2001

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