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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
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
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.
Sequence in context: A086325 A343581 A074424 * A375796 A375799 A002869
KEYWORD
nonn,nice,easy
EXTENSIONS
More terms from James A. Sellers, Jan 03 2001
STATUS
approved