a(n,m) tabl head (triangle) for  A093564
 
   n\m      0        1        2        3        4        5        6        7        8        9

 
   0        1        0        0        0        0        0        0        0        0        0

   1        7        1        0        0        0        0        0        0        0        0

   2        7        8        1        0        0        0        0        0        0        0

   3        7       15        9        1        0        0        0        0        0        0

   4        7       22       24       10        1        0        0        0        0        0

   5        7       29       46       34       11        1        0        0        0        0

   6        7       36       75       80       45       12        1        0        0        0

   7        7       43      111      155      125       57       13        1        0        0

   8        7       50      154      266      280      182       70       14        1        0

   9        7       57      204      420      546      462      252       84       15        1
  
   etc.

Written as array for figurate numbers (without first column) based on [1,8,15,22,29,..]= A016993:


    n\m     1        2        3        4        5        6        7        8        9       10


    1       1        1        1        1        1        1        1        1        1        1
    2       8        9       10       11       12       13       14       15       16       17
    3      15       24       34       45       57       70       84       99      115      132
    4      22       46       80      125      182      252      336      435      550      682
    5      29       75      155      280      462      714     1050     1485     2035     2717 
    6      36      111      266      546     1008     1722     2772     4257     6292     9009 
    7      43      154      420      966     1974     3696     6468    10725    17017    26026  
    8      50      204      624     1590     3564     7260    13728    24453    41470    67496  
    9      57      261      885     2475     6039    13299    27027    51480    92950   160446 
   10      64      325     1210     3685     9724    23023    50050   101530   194480   354926  

   etc.