a(n,k)  tabf head (staircase) for  A090214


   n\k      4        5        6        7         8        9       10      11     12    13   14   15   16   

     1      1        0        0        0         0        0        0       0      0     0    0    0    0    
                
     2     24       96       72       16         1        0        0       0      0     0    0    0    0    
                
     3    576    13824    50688    59904     30024     7200      856      48      1     0    0    0    0    
     
     4  13824  1714176 21606912 76317696 110160576 78451200 30645504 6976512 953424 78400 3760   96    1   


   The row length sequence for this array is [1,5,9,13,17,...]= A016813(n-1), n>=1.
    
   The  n=5 row with 17 entries is: 

   [ 331776, 207028224, 8190885888, 74684104704, 253100173824, 405044582400, 351783415296, 181005401088, 58436640576, 12288192000,\
     
     1721191680, 162115584, 10228144, 423360, 10960, 160, 1]