a(k,m) tabl head (triangle) for  A112492 (used for e.g.f.s of Stirling2 diagonals)
 
   k\m      0        1        2        3         4         5          6          7          8        9 ...


   0        1        0        0        0         0         0          0          0          0         0
 
   1        1        1        0        0         0         0          0          0          0         0

   2        1        4        3        0         0         0          0          0          0         0

   3        1       11       25       15         0         0          0          0          0         0
 
   4        1       26      130      210       105         0          0          0          0         0
 
   5        1       57      546     1750      2205       945          0          0          0         0

   6        1      120     2037    11368     26775     27720      10395          0          0         0

   7        1      247     7071    63805    247555    460845     405405     135135          0         0

   8        1      502    23436   325930   1939630   5735730    8828820    6756750    2027025         0

   9       1      1013    75328  1561516  13609310  59629570  142101960  186486300  126351225  34459425
   .
   .
   .



  Row sums give A006351(k+1), k>=0. 
 
 [1, 2, 8, 52, 472, 5504, 78416, 1320064, 25637824, 564275648, ...]


#############################################################################################################