|
|
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
|
|
|
FORMULA
|
|
|
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
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,nice,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|