a(n,m) tabl head (triangle) for  A89278

 n\m           1           2           3           4           5           6           7  ...

   1           1           0           0           0           0           0           0
   2          -1           3           0           0           0           0           0
   3           1         -15          24           0           0           0           0
   4          -7         405       -2268        2500           0           0           0
   5           2        -405        6048      -20000       16875           0           0
   6         -11        7425     -266112     2000000    -4640625     3176523           0
   7         143     -312741    25474176  -390000000  1879453125 -3344878719  1927561216
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 The denominators needed for the column sequences of triangle A071951 (Legendre-Stirling) are 
 for n=1..7, from A089500:
 
 1,2,10,630,2520,277200,97297200,...