a(n,k)  tabf head (staircase) for A090440 (Blasiak et al. ref. for r=4, s=3.)


  n\k       3          4           5           6           7          8          9        10       11     12   13  14 15 
                         
   1        1          0           0           0           0          0          0         0        0      0    0   0  0 
                             
   2       24         36          12           1           0          0          0         0        0      0    0   0  0  
                 
   3     1440       5760        6120        2520         456         36          1         0        0      0    0   0  0
    
   4   172800    1339200     2808000     2420640     1025280     232920      29400      2040       72      1    0   0  0
   
   5 36288000  471744000  1643846400  2381702400  1745755200  721224000  178941600  27624960  2689920 163800 6000 120  1

                                                                     

  The row length sequence of this tabf array is [1,4,7,10,13,...]= A016777(n-1), n>=1.