a(n,m) tabl head (triangle) for  A089504


  n\m         1         2          3          4         5         6         7    8
 
    1         1         0          0          0         0         0         0    0
     
    2         6         1          0          0         0         0         0    0
                              
    3        36        30          1          0         0         0         0    0
                           
    4       216       756         90          1         0         0         0    0
                             
    5      1296     18360       6156        210         1         0         0    0
                             
    6      7776    441936     387720      31356       420         1         0    0
                            
    7     46656  10614240   23705136    4150440    119556       756         1    0

    8    279936 254788416 1432922400  521757936  29257200    373572      1260    1