a(n,m) tabl head (triangle) for  A093560:  (3,1) Pascal
  
   n\m      0        1        2        3        4        5        6        7        8        9
  

   0        1        0        0        0        0        0        0        0        0        0
  
   1        3        1        0        0        0        0        0        0        0        0

   2        3        4        1        0        0        0        0        0        0        0

   3        3        7        5        1        0        0        0        0        0        0

   4        3       10       12        6        1        0        0        0        0        0

   5        3       13       22       18        7        1        0        0        0        0

   6        3       16       35       40       25        8        1        0        0        0

   7        3       19       51       75       65       33        9        1        0        0

   8        3       22       70      126      140       98       42       10        1        0

   9        3       25       92      196      266      238      140       52       11        1

   etc.

  Written as array for figurate numbers (without first column) based on [1,4,7,10,13,..]= A016777:
  The pentagonal numbers A000326 appear in column m=2, and the pyramidal pentagonal numbers A002411
  in column m=3. 
  

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


    1       1        1        1        1        1        1        1        1        1        1
    2       4        5        6        7        8        9       10       11       12       13
    3       7       12       18       25       33       42       52       63       75       88
    4      10       22       40       65       98      140      192      255      330      418
    5      13       35       75      140      238      378      570      825     1155     1573
    6      16       51      126      266      504      882     1452     2277     3432     5005 
    7      19       70      196      462      966     1848     3300     5577     9009    14014
    8      22       92      288      750     1716     3564     6864    12441    21450    35464
    9      25      117      405     1155     2871     6435    13299    25740    47190    82654
   10      28      145      550     1705     4576    11011    24310    50050    97240   179894

   etc.