W. Lang, Oct 05 2007

 a(n,m) tabl head (triangle) for  A049353 (S1p(5))


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


   1             1            0            0           0          0         0        0      0    0   0

   2             5            1            0           0          0         0        0      0    0   0

   3            30           15            1           0          0         0        0      0    0   0

   4           210          195           30           1          0         0        0      0    0   0

   5          1680         2550          675          50          1         0        0      0    0   0

   6         15120        34830        14025        1725         75         1        0      0    0   0

   7        151200       502740       287280       51975       3675       105        1      0    0   0

   8       1663200      7692300      5961060     1482705     151200      6930      140      1    0   0

   9      19958400    124740000    126913500    41545980    5716305    372960    11970    180    1   0
 
  10     259459200   2140538400   2789923500  1165563000  207318825  18023985   815850  19350  225   1
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  The first column gives A001720(n+3), n>=1: [1,5,30,210,1680,15120,151200,1663200,19958400,259459200,...].

  The row sums give A049378 = [1,6,46,436,4956,65776,996976,16957536,319259296,6581662336,...].

  The alternating row sumd give A132061=[1,4,16,44,244,7336,112664,1406336,14058944,66627136,...].


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