a(n,m) tabl head (triangle) for  A093562: Pascal (5,1)
 
   n\m      0        1        2        3        4        5        6        7        8        9

 
   0        1        0        0        0        0        0        0        0        0        0

   1        5        1        0        0        0        0        0        0        0        0

   2        5        6        1        0        0        0        0        0        0        0

   3        5       11        7        1        0        0        0        0        0        0

   4        5       16       18        8        1        0        0        0        0        0

   5        5       21       34       26        9        1        0        0        0        0

   6        5       26       55       60       35       10        1        0        0        0

   7        5       31       81      115       95       45       11        1        0        0

   8        5       36      112      196      210      140       56       12        1        0

   9        5       41      148      308      406      350      196       68       13        1
  
   etc.
  

    Written as array for figurate numbers (without first column) based on [1,6,11,16,21,..]= A016861:

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


    1       1        1        1        1        1        1        1        1        1        1
    2       6        7        8        9       10       11       12       13       14       15
    3      11       18       26       35       45       56       68       81       95      110
    4      16       34       60       95      140      196      264      345      440      550
    5      21       55      115      210      350      546      810     1155     1595     2145
    6      26       81      196      406      756     1302     2112     3267     4862     7007 
    7      31      112      308      714     1470     2772     4884     8151    13013    20020
    8      36      148      456     1170     2640     5412    10296    18447    31460    51480
    9      41      189      645     1815     4455     9867    20163    38610    70070   121550
   10      46      235      880     2695     7150    17017    37180    75790   145860   267410

   etc.