OFFSET
1,7
COMMENTS
1
FORMULA
T(n,m):=n!/m!*sum(k=0..(n-m)/2, (m^k*stirling1(n-m-2*k,k))/(n-m-2*k)!).
EXAMPLE
1,
0, 1,
0, 0, 1,
24, 0, 0, 1,
-60, 120, 0, 0, 1,
240, -360, 360, 0, 0, 1,
1260, 1680, -1260, 840, 0, 0, 1
PROG
(Maxima)
T(n, m):=n!/m!*sum((m^k*stirling1(n-m-2*k, k))/(n-m-2*k)!, k, 0, (n-m)/2);
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Vladimir Kruchinin, Dec 13 2011
STATUS
approved