W. Lang Nov 09 2007


a(n,m) tabl head (triangle) for  A134151 (S2(4)')


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


    1                1            0           0          0        0       0      0     0    0    0

    2                4            1           0          0        0       0      0     0    0    0

    3               28            4           1          0        0       0      0     0    0    0

    4              280           44           4          1        0       0      0     0    0    0

    5             3640          392          44          4        1       0      0     0    0    0

    6            58240         5544         456         44        4       1      0     0    0    0

    7          1106560        80640        5992        456       44       4      1     0    0    0

    8         24344320      1519840       88256       6248      456      44      4     1    0    0

    9        608608000     31420480     1631392      90048     6248     456     44     4    1    0

   10      17041024000    766525760    33293120    1661856    91072    6248    456    44    4    1
    .
    .
    .


The first column gives A007559 (3-factorials) 
[1,4,28,280,3640,58240,1106560,24344320,608608000,17041024000,... ].


The row sums give A134152 = [1,5,33,329,4081,64289,1193697,25959169,641756673,17842602561,...].

The alternating row sums give A134153=[1,3,25,239,3289,53111,1031497,22906903,578734697,16306214743,...].


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