a(n,m) Sheffer matrix A111595 (squares of H(n,sqrt(x/2)) Hermite polynomials divided by 2^n, rising powers of x)  

 
   n\m     0        1          2         3          4          5           6           7        8     9 ...

 
   0       1        0          0         0          0          0           0           0        0     0

   1       0        1          0         0          0          0           0           0        0     0

   2       1       -2          1         0          0          0           0           0        0     0

   3       0        9         -6         1          0          0           0           0        0     0

   4       9      -36         42       -12          1          0           0           0        0     0

   5       0      225       -300       130        -20          1           0           0        0     0

   6     225    -1350       2475     -1380        315        -30           1           0        0     0

   7       0    11025     -22050     15435      -4620        651         -42           1        0     0
 
   8   11025   -88200     220500   -182280      67830     -12600        1204         -56        1     0

   9       0   893025   -2381400   2302020   -1020600     235494      -29736        2052      -72     1 
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