a(k,n)  tabf head (staircase) for  A090222


   k\n            0             1                2                   3                        4             

    5             1             0                0                   0                        0             
              
    6           600             0                0                   0                        0             
           
    7           600        648000                0                   0                        0             
           
    8           200       2592000       1270080000                   0                        0             
           
    9            25       2871000      13592880000       4267468800000                        0             
        
   10             1       1294920      36462182400     100221504768000        23228686172160000             
    
   11        284800   38559024000  551224880640000  1056582600192000000   195120963846144000000             

   

  The row length sequence for this tabf array is floor(4*(k-5)/5)+1 = A090223(k)+1 = 
  
  [1,1,2,3,4,5,5,6,7,8,9,9,10,11,12,13,13,14,15,16,17,17,...], k>=5.