W. Lang, Sep 14 2007

 a(n,m) tabl head (triangle) for  A132056 (S2(8))



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


   1                1              0             0            0          0          0        0      0    0  0

   2                8              1             0            0          0          0        0      0    0  0

   3              120             24             1            0          0          0        0      0    0  0

   4             2640            672            48            1          0          0        0      0    0  0

   5            76560          22800          2160           80          1          0        0      0    0  0

   6          2756160         920160        104880         5280        120          1        0      0    0  0

   7        118514880       43243200       5639760       347760      10920        168        1      0    0  0

   8       5925744000     2323918080     336510720     24071040     937440      20160      224      1    0  0

   9     337767408000   140712992640   22178050560   1780773120   81254880    2187360    34272    288    1  0

  10   21617114112000  9484111929600 1604464329600 141489849600 7306104960  232182720  4586400  54720  360  1

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  The first column gives A045754 (sept-factorials).

  The row sums give A132060 = [1, 9, 145, 3361, 101601, 3786601, 167756689, 8611201665, 502522701121, 32854723149961,...],

  The alternating row sums give A132061 =[1 7, 97, 2015, 55841, 1935719, 80574433, 3915183103, 217530794305, 13603055116679,...].


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