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 A002868 Largest number in n-th row of triangle of Lah numbers (A008297 and A271703). (Formerly M1703 N0673) 24
 1, 1, 2, 6, 36, 240, 1800, 15120, 141120, 1693440, 21772800, 299376000, 4390848000, 68497228800, 1133317785600, 19833061248000, 396661224960000, 8299373322240000, 181400588328960000, 4135933413900288000, 98228418580131840000, 2426819753156198400000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 REFERENCES N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..100 T. S. Motzkin, Sorting numbers for cylinders and other classification numbers, in Combinatorics, Proc. Symp. Pure Math. 19, AMS, 1971, pp. 167-176. [Annotated, scanned copy] OEIS Wiki, Sorting numbers FORMULA For 2 <= n <= 7, equals (n+1)!*n/2. - Alexander R. Povolotsky, Oct 16 2006 MAPLE 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: MATHEMATICA a[n_] := ( big = 1; For[ m = 1 , m <= n, m++, b = n!*Binomial[n - 1, m - 1]/m!; If[ big < b , big = b ]]; big); Table[a[n], {n, 0, 19}] (* Jean-François Alcover, Sep 21 2012, after Maple *) PROG (Haskell) a002868 n = if n == 0 then 1 else maximum \$ map abs \$ a008297_row n -- Reinhard Zumkeller, Sep 30 2014 CROSSREFS Essentially the same as A001286. Cf. A000262, A008297, A105278, A271703. Sequence in context: A239889 A086325 A074424 * A002869 A052845 A293120 Adjacent sequences:  A002865 A002866 A002867 * A002869 A002870 A002871 KEYWORD nonn,nice,easy AUTHOR EXTENSIONS More terms from James A. Sellers, Jan 03 2001 STATUS approved

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Last modified December 9 03:27 EST 2019. Contains 329872 sequences. (Running on oeis4.)