a(n,m) tabl head (triangle) for  A092082  S2(7)
 
    n\m             1              2             3            4           5           6        7        8     9   10
 
    1               1              0             0            0           0           0        0        0     0    0
    
    2               7              1             0            0           0           0        0        0     0    0
    
    3              91             21             1            0           0           0        0        0     0    0
    
    4            1729            511            42            1           0           0        0        0     0    0
    
    5           43225          15015          1645           70           1           0        0        0     0    0
    
    6         1339975         523705         69300         4025         105           1        0        0     0    0
    
    7        49579075       21240765       3226405       230300        8330         147        1        0     0    0
    
    8      2131900225      984172735     166428990     13820205      621810       15386      196        1     0    0
    
    9    104463111025    51340536975    9472051225    885079650    46776135     1452654    26166      252     1    0
   
   10   5745471106375  2979533181625  591247456800  60806670925  3644871615   133935375  3048780    41790   315    1

   etc.