W. Lang, Oct 12 2007 

a(n,m) tabl head (triangle) for A046089 (S1p(3))


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


   1            1          0           0          0         0        0       0      0    0    0

   2            3          1           0          0         0        0       0      0    0    0

   3           12          9           1          0         0        0       0      0    0    0

   4           60         75          18          1         0        0       0      0    0    0

   5          360        660         255         30         1        0       0      0    0    0

   6         2520       6300        3465        645        45        1       0      0    0    0

   7        20160      65520       47880      12495      1365       63       1      0    0    0
    0
   8       181440     740880      687960     235305     35700     2562      84      1    0    0

   9      1814400    9072000    10372320    4452840    877905    86940    4410    108    1    0

  10     19958400  119750400   164656800   86070600  21133035  2703645  188370   7110  135    1

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 The first column gives A001710(n+2)=(n+1)!/2: [1,3,12,60,360,2520,20160,181440,1814400,19958400,...].

 The row sums give A049376: [1,4,22,154,1306,12976,147484,1883932,26680924,414468496,...].

 The alternating row sums give A134138: [1,2,4,2,-74,-916,-8672,-73564,-542852,-2595016,...].


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