W. Lang Nov 09 2007

a(n,m) tabl head (triangle) for  A134275 (S2(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              45            5          1         0        0      0     0    0    0   0

   4             585           70          5         1        0      0     0    0    0   0

   5            9945          810         70         5        1      0     0    0    0   0

   6          208845        14895        935        70        5      1     0    0    0   0

   7         5221125       284895      16020       935       70      5     1    0    0   0

   8       151412625      7055100     309645     16645      935     70     5    1    0   0

   9      4996616625    192734100    7526475    315270    16645    935    70    5    1   0

  10    184874815125   6209707725  203088600   7650225   318395  16645   935   70    5   1

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The first column gives A007696 (4-factorials):
[1,5,45,585,9945,208845,5221125,151412625,4996616625,184874815125,...].


The row sums give A134276 = [1,6,51,661,10831,224751,5523051,158795026,5197210126,191295597726,...].


The alternating row sums give A134277 = [1,4,41,519,9201,194819,4951381,144651394,4811109506,178860848394,...].



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