a(n,m) tabl head (triangle) for  A075497  Stirling2 scaled diagonals d>=0 with 2^d 
 
    n\m      1        2        3        4        5        6        7        8        9       10
 
    1        1        0        0        0        0        0        0        0        0        0
    
    2        2        1        0        0        0        0        0        0        0        0
    
    3        4        6        1        0        0        0        0        0        0        0
    
    4        8       28       12        1        0        0        0        0        0        0
    
    5       16      120      100       20        1        0        0        0        0        0
    
    6       32      496      720      260       30        1        0        0        0        0
    
    7       64     2016     4816     2800      560       42        1        0        0        0
    
    8      128     8128    30912    27216     8400     1064       56        1        0        0
    
    9      256    32640   193600   248640   111216    21168     1848       72        1        0
   
   10      512   130816  1194240  2182720  1360800   365232    47040     3000       90        1
   
   etc.